Academic literature on the topic 'Perturbation (Quantum dynamics); Quantum electrodynamics'

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Journal articles on the topic "Perturbation (Quantum dynamics); Quantum electrodynamics"

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Teixeira, W. S., F. L. Semião, J. Tuorila, and M. Möttönen. "Assessment of weak-coupling approximations on a driven two-level system under dissipation." New Journal of Physics 24, no. 1 (December 31, 2021): 013005. http://dx.doi.org/10.1088/1367-2630/ac43ee.

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Abstract The standard weak-coupling approximations associated to open quantum systems have been extensively used in the description of a two-level quantum system, qubit, subjected to relatively weak dissipation compared with the qubit frequency. However, recent progress in the experimental implementations of controlled quantum systems with increased levels of on-demand engineered dissipation has motivated precision studies in parameter regimes that question the validity of the approximations, especially in the presence of time-dependent drive fields. In this paper, we address the precision of weak-coupling approximations by studying a driven qubit through the numerically exact and non-perturbative method known as the stochastic Liouville–von Neumann equation with dissipation. By considering weak drive fields and a cold Ohmic environment with a high cutoff frequency, we use the Markovian Lindblad master equation as a point of comparison for the SLED method and study the influence of the bath-induced energy shift on the qubit dynamics. We also propose a metric that may be used in experiments to map the regime of validity of the Lindblad equation in predicting the steady state of the driven qubit. In addition, we study signatures of the well-known Mollow triplet and observe its meltdown owing to dissipation in an experimentally feasible parameter regime of circuit electrodynamics. Besides shedding light on the practical limitations of the Lindblad equation, we expect our results to inspire future experimental research on engineered open quantum systems, the accurate modeling of which may benefit from non-perturbative methods.
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CRATER, HORACE W., CHUN WA WONG, and CHEUK-YIN WONG. "SINGULARITY-FREE BREIT EQUATION FROM CONSTRAINT TWO-BODY DIRAC EQUATIONS." International Journal of Modern Physics E 05, no. 04 (December 1996): 589–615. http://dx.doi.org/10.1142/s0218301396000323.

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We examine the relation between two approaches to the quantum relativistic two-body problem: (1) the Breit equation, and (2) the two-body Dirac equations derived from constraint dynamics. In applications to quantum electrodynamics, the former equation becomes pathological if certain interaction terms are not treated as perturbations. The difficulty comes from singularities which appear at finite separations r in the reduced set of coupled equations for attractive potentials even when the potentials themselves are not singular there. They are known to give rise to unphysical bound states and resonances. In contrast, the two-body Dirac equations of constraint dynamics do not have these pathologies in many nonperturbative treatments. To understand these marked differences we first express these contraint equations, which have an “external potential” form, similar to coupled one-body Dirac equations, in a hyperbolic form. These coupled equations are then recast into two equivalent equations: (1) a covariant Breit-like equation with potentials that are exponential functions of certain “generator” functions, and (2) a covariant orthogonality constraint on the relative momentum. This reduction enables us to show in a transparent way that finite-r singularities do not appear as long as the exponential structure is not tampered with and the exponential generators of the interaction are themselves nonsingular for finite r. These Dirac or Breit equations, free of the structural singularities which plague the usual Breit equation, can then be used safely under all circumstances, encompassing numerous applications in the fields of particle, nuclear, and atomic physics which involve highly relativistic and strong binding configurations.
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Lindgren, Ingvar, Sten Salomonson, and Daniel Hedendahl. "New approach to many-body quantum-electrodynamics calculations:merging quantum electrodynamics with many-body perturbation." Canadian Journal of Physics 83, no. 4 (April 1, 2005): 395–403. http://dx.doi.org/10.1139/p05-012.

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A new method for bound-state quantum electrodynamics (QED) calculations on many-electron systems is presented that is a combination of the non-QED many-body technique for quasi-degenerate systems and the newly developed covariant-evolution-operator technique for QED calculations. The latter technique has been successfully applied to the fine structure of excited states of medium-heavy heliumlike ions, and it is expected that the new method should be applicable also to light elements, hopefully down to neutral helium. PACS Nos.: 31.30.Jv, 31.15.Md, 31.25.Jf, 33.15.Pw
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Lindgren, Ingvar, Sten Salomonson, and Daniel Hedendahl. "Combining Many-Body Perturbation and Quantum Electrodynamics." Journal of Atomic, Molecular, and Optical Physics 2011 (December 18, 2011): 1–11. http://dx.doi.org/10.1155/2011/723574.

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It has been a long-sought problem to be able to combine many-body perturbation theory and quantum electrodynamics into a unified, covariant model. Such a model has recently been developed at our laboratory and is outlined in the present paper. The model has potential applications in many areas and opens up the possibility of studying the interplay between various interactions in different system. The model has so far been applied to highly ionized helium-like ions, and some numerical results are given. It is expected that the combined effect—that has never been calculated before—could have a significant effect on certain experimental data. The radiative effects are being regularized using the dimensional regularization in Coulomb gauge, and the first numerical results have been obtained.
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FIALKOVSKI, I. V., V. N. MARKOV, and YU M. PIS'MAK. "FIELD OF HOMOGENEOUS PLANE IN QUANTUM ELECTRODYNAMICS." International Journal of Modern Physics A 21, no. 12 (May 10, 2006): 2601–16. http://dx.doi.org/10.1142/s0217751x06029053.

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We study quantum electrodynamics coupled to the matter field on singular background, which we call defect. For defect on the infinite plane we calculated the fermion propagator and mean electromagnetic field. We show that at large distances from the defect plane, the electromagnetic field is constant what is in agreement with the classical results. The quantum corrections determining the field near the plane are calculated in the leading order of perturbation theory.
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Veklenko, Boris A. "Energy, Information, and Superluminal Speed in Quantum Electrodynamics." Light & Engineering, no. 04-2020 (August 2020): 27–33. http://dx.doi.org/10.33383/2019-097.

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Without using the perturbation theory, the article demonstrates a possibility of superluminal information-carrying signals in standard quantum electrodynamics using the example of scattering of quantum electromagnetic field by an excited atom.
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Gao Deying, 高德营, and 夏云杰 Xia Yunjie. "Quantum Correlation Dynamics of Motive Atoms in Cavity Quantum Electrodynamics." Laser & Optoelectronics Progress 52, no. 8 (2015): 082701. http://dx.doi.org/10.3788/lop52.082701.

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GIROTTI, H. O., M. GOMES, and A. J. DA SILVA. "INFRARED STRUCTURE OF (2 + 1)-DIMENSIONAL QUANTUM ELECTRODYNAMICS." Modern Physics Letters A 09, no. 29 (September 21, 1994): 2699–704. http://dx.doi.org/10.1142/s0217732394002549.

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The Bloch–Nordsieck approximation is used to study the ir structure of quantum electrodynamics in 2 + 1 dimensions. Unlike in QED 4, the ir singularities occurring in each order of perturbation theory do not add up to a finite limit. However, the resummation of vacuum polarization graphs is shown to induce a mass which solves the ir problem.
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Manzalini, Antonio, and Bruno Galeazzi. "Explaining Homeopathy with Quantum Electrodynamics." Homeopathy 108, no. 03 (March 22, 2019): 169–76. http://dx.doi.org/10.1055/s-0039-1681037.

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Background Every living organism is an open system operating far from thermodynamic equilibrium and exchanging energy, matter and information with an external environment. These exchanges are performed through non-linear interactions of billions of different biological components, at different levels, from the quantum to the macro-dimensional. The concept of quantum coherence is an inherent property of living cells, used for long-range interactions such as synchronization of cell division processes. There is support from recent advances in quantum biology, which demonstrate that coherence, as a state of order of matter coupled with electromagnetic (EM) fields, is one of the key quantum phenomena supporting life dynamics. Coherent phenomena are well explained by quantum field theory (QFT), a well-established theoretical framework in quantum physics. Water is essential for life, being the medium used by living organisms to carry out various biochemical reactions and playing a fundamental role in coherent phenomena. Methods Quantum electrodynamics (QED), which is the relativistic QFT of electrodynamics, deals with the interactions between EM fields and matter. QED provides theoretical models and experimental frameworks for the emergence and dynamics of coherent structures, even in living organisms. This article provides a model of multi-level coherence for living organisms in which fractal phase oscillations of water are able to link and regulate a biochemical reaction. A mathematical approach, based on the eigenfunctions of Laplace operator in hyper-structures, is explored as a valuable framework to simulate and explain the oneness dynamics of multi-level coherence in life. The preparation process of a homeopathic medicine is analyzed according to QED principles, thus providing a scientific explanation for the theoretical model of “information transfer” from the substance to the water solution. A subsequent step explores the action of a homeopathic medicine in a living organism according to QED principles and the phase-space attractor's dynamics. Results According to the developed model, all levels of a living organism—organelles, cells, tissues, organs, organ systems, whole organism—are characterized by their own specific wave functions, whose phases are perfectly orchestrated in a multi-level coherence oneness. When this multi-level coherence is broken, a disease emerges. An example shows how a homeopathic medicine can bring back a patient from a disease state to a healthy one. In particular, by adopting QED, it is argued that in the preparation of homeopathic medicines, the progressive dilution/succussion processes create the conditions for the emergence of coherence domains (CDs) in the aqueous solution. Those domains code the original substance information (in terms of phase oscillations) and therefore they can transfer said information (by phase resonance) to the multi-level coherent structures of the living organism. Conclusions We encourage that QED principles and explanations become embodied in the fundamental teachings of the homeopathic method, thus providing the homeopath with a firm grounding in the practice of rational medicine. Systematic efforts in this direction should include multiple disciplines, such as quantum physics, quantum biology, conventional and homeopathic medicine and psychology.
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Dorokhov, A. E., A. A. Krutov, A. P. Martynenko, F. A. Martynenko, and O. S. Sukhorukova. "Energy spectra of muonic atoms in quantum electrodynamics." EPJ Web of Conferences 204 (2019): 05007. http://dx.doi.org/10.1051/epjconf/201920405007.

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Vacuum polarization, nuclear structure and recoil, radiative corrections to the hyperfine structure of S-states in muonic ions of lithium, beryllium and boron are calculated on the basis of quasipotential method in quantum electrodynamics. We consider contributions in first and second orders of perturbation theory which have the order α5 and α6 in the energy spectrum. Total values of hyperfine splittings are obtained which can be used for a comparison with future experimental data.
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Dissertations / Theses on the topic "Perturbation (Quantum dynamics); Quantum electrodynamics"

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Грицунов, А. В., И. Н. Бондаренко, А. Б. Галат, О. В. Глухов, and А. Г. Пащенко. "On the quantum electrodynamics of nanosystems." Thesis, Kharkiv, bookfabrik, 2019. http://openarchive.nure.ua/handle/document/10408.

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Problems of quantum dynamics of nanoobjects essential for development of new nanoelectronic systems are discussed. According to the theory of natural oscillatory systems (NOSs), “interaction” between the objects is interpreted as a quantum-dynamic phenomenon meaning a stable trend arising from the quantum chaos. As an opposite, “interchange” is denominated as the permanent stochastic exchange with action quanta between different NOSs in 4D spacetime, being the physical base of the quantum chaos. The Tetrode-Wheeler-Feynman’s concept of “direct interparticle action” is reconciled with both the quantum radiation-absorption and the Coulomb interaction. A conservation law for the action is supposed as a necessary condition for the momentum-energy conservation. The “classic” conservation law for the momentum-energy is considered as derivative, being valid for the momentum as well as some physical value that is an integral over 3D space from a linear combination of stress-energy tensor principal diagonal terms. Such redefinition enables the unconditional quantization of the energy unlike “orthodox” quantum theory.
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Zhang, Ou, and Ou Zhang. "Effective Field Theories for Quantum Chromo- and Electrodynamics." Diss., The University of Arizona, 2016. http://hdl.handle.net/10150/621825.

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Effective field theories (EFTs) provide frameworks to systematically improve perturbation expansions in quantum field theory. This improvement is essential in quantum chromodynamics (QCD) predictions, both at low energy in the description of low momentum hadron-hadron scattering and at high energy in the description of electron-positron, proton-proton, proton-electron collisions. It is also important in quantum electrodynamics (QED), when electrons interact with a high-intensity, long-wavelength classical field. I introduce the principles and methods of effective field theory and describe my work in three EFTs: First, in the perturbative QCD region, I use soft collinear effective theory (SCET) to prove that strong interaction soft radiation is universal and to increase the QCD accuracy to next-to-next-to-next-to leading logarithm order for new particle searches in hadron colliders. I also compute a new class of non-perturbative, large logarithmic enhancement arising near the elastic limits of deep inelastic scattering and Drell-Yan processes. Second, in the QCD confinement region, I use heavy hadron chiral perturbation theory to study near-threshold enhancements in the scattering of 𝐷 and 𝜋 mesons near the threshold for the excited 𝐷-meson state, 𝐷*, as well as in the scattering of 𝐷 and 𝐷* mesons near the threshold for the exotic hadron X(3872). This work provides a clear picture of the hadronic molecule X(3872) and more profound understanding of the nuclear force between hadrons. Finally, inspired by SCET, I construct a new electron-laser effective field theory to describe highly-relativistic electrons traveling in strong laser fields, extract the universal distribution of electrons in strong electromagnetic backgrounds and its evolution in energy from the separated momentum scales of emitted photons and classical radiation, and predict the rate of wide angle photon emission. I conclude with limitations of EFT methods and some perspectives on what new work may be achieved with these EFTs.
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Hoffmann, Norah M. [Verfasser], and Ludwig [Akademischer Betreuer] Mathey. "Mixed Quantum-Classical Dynamics in Cavity Quantum Electrodynamics / Norah M. Hoffmann ; Betreuer: Ludwig Mathey." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2020. http://d-nb.info/1218707240/34.

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Bruhat, Laure. "Microwaves as a probe of quantum dot circuits : from Kondo dynamics to mesoscopic quantum electrodynamics." Thesis, Paris Sciences et Lettres (ComUE), 2016. http://www.theses.fr/2016PSLEE012/document.

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Cette thèse utilise les micro-ondes pour étudier des circuits de boîtes quantiques à base de nanotubes de carbone. Dans une première expérience, l'excitation micro-onde est appliquée directement sur une électrode du circuit pour une boîte quantique dans le régime Kondo. Nous réalisons la première caractérisation fréquence-amplitude de la conductance Kondo à biais nul. Des données préliminaires sont en accord avec la prédiction d'universalité. Nous présentons deux autres expériences, où les boîtes quantiques sont insérées dans des résonateurs micro-ondes. Les photons de la cavité sondent la résistance de relaxation de charge et l'émission de photons dans une boîte quantique couplée à des réservoirs normaux et supraconducteurs, en présence de répulsion coulombienne. Nos observations valident une modélisation en termes de réponse linéaire du circuit. Nous présentons aussi la première implémentation d'une lame séparatrice à paires de Cooper en cavité. Le régime de couplage fort est atteint, une première avec des circuits de boîtes quantiques. Nos résultats renforcent l'idée que l'électrodynamique quantique mésoscopique est une boîte à outils fructueuse, aussi bien dans le contexte du domaine du transport quantique que dans celui de l'information quantique
This thesis uses microwaves as probe of carbon nanotube quantum dot circuits. In a first experiment, a microwave excitation is directly applied to a circuit electrode for a quantum dot in the Kondo regime. We provide the first frequency-amplitude characterisation of the Kondo zero-bias conductance. Preliminary data are consistent with predicted universal behaviour. We present two other experiments, where quantum dot circuits are embedded in microwave resonators. Cavity photons probe charge relaxation resistance and photon-emission in a quantum dot coupled to normal and superconducting reservoirs in presence of Coulomb repulsion. Our observations validate a modelling in terms of the circuit linear response. We also present the first implementation of a Cooper pair splitter in cavity. The strong coupling regime is achieved, a premiere with quantum dot circuits. Our findings support the idea, that mesoscopic quantum electrodynamics is a fruitful toolbox in the context of both fields of quantum transport and quantum information science
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Viennot, Jeremie. "Charge and spin dynamics in a hybrid circuit quantum electrodynamics architecture." Phd thesis, Ecole Normale Supérieure de Paris - ENS Paris, 2014. http://tel.archives-ouvertes.fr/tel-01062841.

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Cette thèse étudie expérimentalement le mécanisme de couplage entre les degrés de liberté de charge et de spin dans des doubles boîtes quantiques et des cavités supraconductrices de grande finesse. Nous utilisons des nanotubes de carbone comme conducteurs cohérents pour nos boîtes quantiques. Nous avons conçu une expérience et développé de nouvelles méthodes de fabrication afin de pouvoir contrôler ces dispositifs. Avec ces méthodes, nous examinons le couplage résonant entre les transitions électroniques de charge dans les boîtes quantiques et la cavité micro-onde. Nous poussons le système hors équilibre pour caractériser sa dynamique et extraire ses paramètres intrinsèques. Nous étudions la possibilité d'un couplage de photons uniques avec un spin électronique individuel, en utilisant des champs effectifs non colinéaires induits par des interfaces ferromagnétiques comme ingrédient clef pour construire ce couplage. Les résultats préliminaires dans cette architecture en circuit sont prometteurs pour de futures expériences d'électrodynamique quantique en cavité avec des spins uniques.
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Van, de Water Ruth S. "Applications of chiral perturbation theory to lattice QCD /." Thesis, Connect to this title online; UW restricted, 2005. http://hdl.handle.net/1773/9730.

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Geshnizjani, Ghazal. "Back reaction of long wavelength perturbations during inflation /." View online version; access limited to Brown University users, 2005. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:3174608.

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Donner, Ralf. "Numerical methods of resonant dynamics for the Galaxy." Thesis, University of Oxford, 2005. http://ora.ox.ac.uk/objects/uuid:136ae026-e3d4-4153-b124-edc8256c14c9.

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Numerical methods of resonant dynamics with applications to the Galaxy are considered in this thesis. We derive generating functions for first-order perturbation theory and the associated orbital frequencies by matrix calculus. For two action-angle spaces (J,θ) and (i,φ) related by a canonical map I·φ+s, we show that J can be averaged over ergodic orbits φ to provide an estimator of I to within O(|s|2). We provide examples in one and two dimensions and compare the technique to calculations of actions by numerical line integration in Poincaré sections. We then use spectral dynamics and the Laskar frequency map (Laskar, 1993) to identify the dynamically important resonances of the 'flattened' axisymmetric isochrone potential. We simulate resonant capture in a low-order resonance by populating representative tori of a spherical isochrone Hamiltonian and integrating the orbits while adiabatically introducing axisymmetry. We use the averaging technique described above to observe the fraction of orbits captured, and we compare the result to a theoretical prediction. We return to first-order perturbation theory to analyse its strengths and weaknesses, in particular near orbital pericentre, and when one action is significantly smaller than another. We also reproduce the expected pendulum dynamics in the resonant action-angle plane for orbits in our capture simulation. We develop the concept of adaptive dynamics: we vary the initial orbital energy of the particles in the capture simulations and show that resonant and non-resonant orbits can be identified as clusters in the perturbed action plane. For a given Hamiltonian, we use the perturbed frequencies and a linear regression fit in the action plane as diagnostics of a set of model Hamiltonians on a grid in a suitable parameter space. We find we are able to constrain the parameters of a model Hamiltonian by this method. Finally, we reject the null hypothesis that resonant structures in phase space can be found by traditional methods of density estimation.
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Ashley, Jonathan D. "Investigations in non-perturbative QCD." Title page, abstract and table of contents only, 2004. http://hdl.handle.net/2440/37959.

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In this thesis we review two methods for studying the non-pertubative region of QCD: the effective field theory, chiral perturbation theory (χPT), and the cloudy bag model, a successful chiral quark model of hadron structure. We use information from both of these sources to construct a simple extrapolation formula in the pion mass, mπ, for the nucleon electromagnetic form factors, which combines the correct non-analytic chiral behaviour predicted by (χPT), with the correct large mπ behaviour. This formula is applied to recent quenched lattice QCD results to extrapolate to the physical regime. Given the simple nature of the extrapolation scheme, our results compare surprisingly well with experiment. We also employ a simple chiral quark model (the hedgehog) to examine the volume and pion mass dependence of the axial coupling constant, ga, along with the hedgehog baryon mass. Our results for ga reveal large volume dependence at low pion masses.
Thesis (M.Sc.)--School of Chemistry and Physics, 2004.
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Arndt, Daniel. "Chiral perturbation theory on the lattice and its applications /." Thesis, Connect to this title online; UW restricted, 2004. http://hdl.handle.net/1773/9693.

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Books on the topic "Perturbation (Quantum dynamics); Quantum electrodynamics"

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Scharf, G. Finite quantum electrodynamics. Berlin: Springer-Verlag, 1989.

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Finite quantum electrodynamics: The causal approach. 2nd ed. Berlin: Springer, 1995.

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Steinmann, Othmar. Perturbative Quantum Electrodynamics and Axiomatic Field Theory. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000.

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Teufel, Stefan. Adiabatic Perturbation Theory in Quantum Dynamics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/b13355.

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Winter, School of Theoretical Physics (46th 2010 Lądek Zdrój Poland). Quantum dynamics and information. Singapore: World Scientific, 2011.

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Forshaw, J. R. Quantum chromodynamics and the pomeron. Cambridge, U.K: Cambridge University Press, 1997.

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Introduction to perturbation theory in quantum mechanics. Boca Raton, Fla: CRC Press, 2001.

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Nonrelativistic quantum mechanics. Menlo Park, Calif: Benjamin/Cummings, 1985.

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Nonrelativistic quantum mechanics. 3rd ed. Singapore: World Scientific, 2002.

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Arteca, G. A. Large order perturbation theory and summation methods in quantum mechanics. Berlin: Springer-Verlag, 1990.

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Book chapters on the topic "Perturbation (Quantum dynamics); Quantum electrodynamics"

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Scharf, G. "Causal Perturbation Theory." In Finite Quantum Electrodynamics, 159–262. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-57750-5_4.

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Scharf, G. "Causal Perturbation Theory." In Finite Quantum Electrodynamics, 130–217. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-662-01187-4_4.

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Kimble, H. J., M. G. Raizen, R. J. Thompson, R. J. Brecha, H. J. Carmichael, and Y. Shevy. "Dissipative Quantum Dynamics in Cavity Quantum Electrodynamics." In Coherence and Quantum Optics VI, 607–8. Boston, MA: Springer US, 1989. http://dx.doi.org/10.1007/978-1-4613-0847-8_110.

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Zamastil, Jaroslav, and Jakub Benda. "Dynamics: The Nonrelativistic Theory." In Quantum Mechanics and Electrodynamics, 189–289. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65780-6_6.

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Zamastil, Jaroslav, and Jakub Benda. "Dynamics: The Relativistic Theory." In Quantum Mechanics and Electrodynamics, 291–430. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65780-6_7.

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Dittrich, W., and Martin Reutera. "Topological Phases in Planar Electrodynamics." In Classical and Quantum Dynamics, 371–79. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56430-7_35.

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Dittrich, Walter, and Martin Reuter. "Topological Phases in Planar Electrodynamics." In Classical and Quantum Dynamics, 425–34. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-36786-2_35.

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Dittrich, Walter, and Martin Reuter. "Topological Phases in Planar Electrodynamics." In Classical and Quantum Dynamics, 347–55. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-97465-6_32.

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Dittrich, Walter, and Martin Reuter. "Topological Phases in Planar Electrodynamics." In Classical and Quantum Dynamics, 425–34. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58298-6_35.

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Dittrich, Walter, and Martin Reuter. "Topological Phases in Planar Electrodynamics." In Classical and Quantum Dynamics, 423–32. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-21677-5_35.

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Conference papers on the topic "Perturbation (Quantum dynamics); Quantum electrodynamics"

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Mohr, Peter J. "Quantum electrodynamics perturbation theory." In Relativistic, quantum electrodynamics, and weak interaction effects in atoms. AIP, 1989. http://dx.doi.org/10.1063/1.38441.

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Bashir, A., L. X. Gutierrez-Guerrero, and Y. Concha-Sánchez. "Scalar Quantum Electrodynamics: Perturbation Theory and Beyond." In PARTICLES AND FIELDS: X Mexican Workshop on Particles and Fields. AIP, 2006. http://dx.doi.org/10.1063/1.2359267.

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Dotsenko, Igor, Clement Sayrin, Sebastien Gleyzes, Igor Dotsenko, Michel Brune, Serge Haroche, Paolo Facchi, and Saverio Pascazio. "Quantum Zeno Effect and Quantum Zeno Dynamics in Cavity Quantum Electrodynamics." In Quantum Electronics and Laser Science Conference. Washington, D.C.: OSA, 2011. http://dx.doi.org/10.1364/qels.2011.qthb2.

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Facchi, P., S. Pascazio, J. M. Raimond, C. Sayrin, S. Gleyzes, I. Dotsenko, M. Brune, and S. Haroche. "Quantum Zeno Effect and Quantum Zeno Dynamics in Cavity Quantum Electrodynamics." In International Conference on Quantum Information. Washington, D.C.: OSA, 2011. http://dx.doi.org/10.1364/icqi.2011.qwc3.

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Dzuba, V. A., V. V. Flambaum, P. G. Silvestrov, and O. P. Sushkov. "Screening of residual Coulomb interaction and structure of many-body perturbation theory in heavy atoms." In Relativistic, quantum electrodynamics, and weak interaction effects in atoms. AIP, 1989. http://dx.doi.org/10.1063/1.38431.

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6

Doi, Kentaro, and Satoyuki Kawano. "Theoretical Development of Predicted Iteration Method for Considering Electron Dynamics in Quantum Molecular Dynamics." In ASME-JSME-KSME 2011 Joint Fluids Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/ajk2011-36033.

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In the present study, a theoretical principle of molecular dynamics methods is developed, in which electron transfers are taken into account effectively based on quantum mechanics. In chemical reaction systems, electrodynamics should be considered in the molecular dynamics simulation because electron transfers play an important role. In this study, an effective procedure is proposed to treat time evolutions of electronic wavefunctions. In the procedure, electronic wavefunctions can be transformed to other spaces such as Mulliken atomic charges or electrostatic potentials, and then their time evolutions are coupled with the motions of ionic cores. The present method is applied to some chemical reaction systems, and charge transfer effects can be treated successfully in molecular dynamics simulations. The importance of a coupling method of molecular dynamics and electrodynamics is described.
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Prevenslik, Thomas. "Validity of Molecular Dynamics by Quantum Mechanics." In ASME 2013 4th International Conference on Micro/Nanoscale Heat and Mass Transfer. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/mnhmt2013-22027.

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MD is commonly used in computational physics to determine the atomic response of nanostructures. MD stands for molecular dynamics. With theoretical basis in statistical mechanics, MD relates the thermal energy of the atom to its momentum by the equipartition theorem. Momenta of atoms in an ensemble are determined by solving Newton’s equations with inter-atomic forces derived from Lennard-Jones potentials. MD therefore assumes the atom always has heat capacity as otherwise the momenta of the atoms cannot be related to their temperature. In bulk materials, the continuum is simulated in MD by imposing PBC on an ensemble of atoms, the atoms always having heat capacity. PBC stands for periodic boundary conditions. MD simulations of the bulk are valid because atoms in the bulk do indeed have heat capacity. Nanostructures differ from the bulk. Unlike the continuum, the atom confined in discrete submicron geometries is precluded by QM from having the heat capacity necessary to conserve absorbed EM energy by an increase in temperature. QM stands for quantum mechanics and EM for electromagnetic. Quantum corrections of MD solutions that would show the heat capacity of nanostructures vanishes are not performed. What this means is the MD simulations of discrete nanostructures in the literature not only have no physical meaning, but are knowingly invalid by QM. In the alternative, conservation of absorbed EM energy is proposed to proceed by the creation of QED induced non-thermal EM radiation at the TIR frequency of the nanostructure. QED stands for quantum electrodynamics and TIR for total internal reflection. The QED radiation creates excitons (holon and electron pairs) that upon recombination produce EM radiation that charges the nanostructure or is emitted to the surroundings — a consequence only possible by QM as charge is not created in statistical mechanics. Invalid discrete MD simulations are illustrated with nanofluids, nanocars, linear motors, and sputtering. Finally, a valid MD simulation by QM is presented for the stiffening of NWs in tensile tests. NW stands for nanowire.
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Uleysky, M. Yu, and S. V. Prants. "Quantum Chaos and Quantum Fractals With Atoms and Photons in a Microcavity." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84090.

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Nonlinear dynamics in the fundamental interaction between a two-level atom with recoil and a quantized radiation field in a high-quality microcavity is studied. We consider the strongly coupled atom-field system as a quantum-classical hybrid with dynamically coupled quantum and classical egrees of freedom. We show that, even in the absence of any other interaction with environment, the coupling of quantum and classical degrees of freedom provides the emergence of classical dynamical chaos from quantum electrodynamics. It manifest itself in the atomic external degree of freedom as a random walking of an atom inside a cavity with a prominent fractal-like behavior and in the quantum atom-filed degrees of freedom as a sensitive dependence of atomic inversion on small variations in initial conditions. It is shown that dependences of variance of quantum entanglement and of the maximum Lyapunov exponent on the detuning of the atom-field resonance correlate strongly. This result provides a quantum-classical correspondence in a closed physical system.
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Grothaus, Martin, Anna Vogel, Christopher C. Bernido, and M. Victoria Carpio-Bernido. "The Feynman integrand as a white noise distribution beyond perturbation theory." In STOCHASTIC AND QUANTUM DYNAMICS OF BIOMOLECULAR SYSTEMS: Proceedings of the 5th Jagna International Workshop. AIP, 2008. http://dx.doi.org/10.1063/1.2956797.

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10

Medlar, Michael P., and Edward C. Hensel. "Validation of an Enhanced Dispersion Algorithm for Use With the Statistical Phonon Transport Model." In ASME 2020 Heat Transfer Summer Conference collocated with the ASME 2020 Fluids Engineering Division Summer Meeting and the ASME 2020 18th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/ht2020-8926.

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Abstract Computer simulations of quasi-particle based phonon transport in semiconductor materials rely upon numerical dispersion relations to identify and quantify the discrete energy and momentum states allowable subject to quantum constraints. The accuracy of such computer simulations is ultimately dependent upon the fidelity of the underlying dispersion relations. Dispersion relations have previously been computed using empirical fits of experimental data in high symmetry directions, lattice dynamics, and Density Function Theory (DFT) or Density Functional Perturbation Theory (DFPT) approaches. The current work presents high fidelity dispersion relations describing full anisotropy for all six phonon polarizations with an adjustable computational grid. The current approach builds upon the previously published Statistical Phonon Transport Model (SPTM), which employed a first nearest neighbor lattice dynamics approach for the dispersion calculation. This paper extends the lattice dynamics approach with the use of both first and second nearest neighbors interactions that are quantified using published interatomic force constants calculated from DFT. The First Brillouin Zone (FBZ) is segmented into eight octants of high symmetry, and discretized in wave vector space with a 14 by 14 by 14 grid. This results in 65,586 states of unique wave vector and frequency combinations. Dispersion calculations are performed at each of the six faces of the wave vector space volume elements in addition to the centroid, resulting in 460,992 solutions of the characteristic equations. For the given grid, on the order of 108 computations are required to compute the dispersion relations. The dispersion relations thus obtained are compared to experimental reports available for high symmetry axes. Full anisotropic results are presented for all six phonon polarizations across the range of allowable wave vector magnitude and frequency as a comprehensive model of allowable momentum and energy states. Results indicate excellent agreement to experiment in high symmetry directions for all six polarizations and illustrate an improvement as compared to the previous SPTM implementation. Dispersion relations based on the lattice dynamic model with first and second nearest neighbor atomic interactions relying upon DFT calculated inter-atomic force constants provides an accurate high fidelity energy and momentum model for use in phonon transport simulations.
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