Relevant bibliographies by topics / Feynman-Hellmann

Academic literature on the topic 'Feynman-Hellmann'

Author: Grafiati
Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Feynman-Hellmann"

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Howson, T. L., R. Horsley, W. Kamleh, Y. Nakamura, H. Perlt, P. E. L. Rakow, G. Schierholz, H. Stüben, R. D. Young, and J. M. Zanotti. "Directly calculating the glue component of the nucleon in lattice QCD: QCDSF–UKQCD–CSSM Collaborations." EPJ Web of Conferences 245 (2020): 06031. http://dx.doi.org/10.1051/epjconf/202024506031.

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We are investigating the direct determination and non-perturbative renormalisation of gluon matrix elements. Such quantities are sensitive to ultra– violet fluctuations, and are in general statistically noisy. To obtain statistically significant results, we extend an earlier application of the Feynman–Hellmann theorem to gluonic matrix elements to calculate a renormalisation factor in the RI – MOM scheme, in the quenched case. This work demonstrates that the Feynman–Hellmann method is capable of providing a feasible option for calculating gluon quantities.
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Esteve, J. G., Fernando Falceto, and C. García Canal. "Generalization of the Hellmann–Feynman theorem." Physics Letters A 374, no. 6 (January 2010): 819–22. http://dx.doi.org/10.1016/j.physleta.2009.12.005.

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Pupyshev, Vladimir I. "Hellmann-Feynman theorem near the threshold." International Journal of Quantum Chemistry 88, no. 4 (April 26, 2002): 380–91. http://dx.doi.org/10.1002/qua.10175.

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Fernández, Francisco M. "The extended Hellmann-Feynman theorem revisited." Chemical Physics Letters 233, no. 5-6 (February 1995): 651–52. http://dx.doi.org/10.1016/0009-2614(94)01505-p.

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Pons, Marina, Bruno Juliá-Díaz, Artur Polls, Arnau Rios, and Isaac Vidaña. "The Hellmann–Feynman theorem at finite temperature." American Journal of Physics 88, no. 6 (June 2020): 503–10. http://dx.doi.org/10.1119/10.0001233.

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Sun, Xin. "Generalized Hellmann—Feynman Theorem and Its Applications." Chinese Physics Letters 33, no. 12 (December 2016): 123601. http://dx.doi.org/10.1088/0256-307x/33/12/123601.

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Fernández, Francisco M. "The Hellmann–Feynman theorem for statistical averages." Journal of Mathematical Chemistry 52, no. 8 (June 7, 2014): 2128–32. http://dx.doi.org/10.1007/s10910-014-0368-3.

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Lehmann, D., and P. Ziesche. "Hellmann-Feynman forces on and between jellia." physica status solidi (b) 135, no. 2 (June 1, 1986): 651–60. http://dx.doi.org/10.1002/pssb.2221350224.

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Feng, Chen, Cheng Wei, Bao-long Fang, and Hong-yi Fan. "A Deduction of the Hellmann-Feynman Theorem." International Journal of Theoretical Physics 59, no. 5 (March 28, 2020): 1396–401. http://dx.doi.org/10.1007/s10773-019-04362-7.

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Gáspár, R., and Á. Nagy. "Generalized Hellmann-Feynman theorem in theXα method." International Journal of Quantum Chemistry 31, no. 4 (April 1987): 639–47. http://dx.doi.org/10.1002/qua.560310409.

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Dissertations / Theses on the topic "Feynman-Hellmann"

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Wallace, David. "AN INTRODUCTION TO HELLMANN-FEYNMAN THEORY." Master's thesis, University of Central Florida, 2005. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2542.

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The Hellmann-Feynman theorem is presented together with certain allied theorems. The origin of the Hellmann-Feynman theorem in quantum physical chemistry is described. The theorem is stated with proof and with discussion of applicability and reliability. Some adaptations of the theorem to the study of the variation of zeros of special functions and orthogonal polynomials are surveyed. Possible extensions are discussed.
M.S.
Department of Mathematics
Arts and Sciences
Mathematics
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Bégin, François. "Hellmann-Feynman theorem in some classical field theories by François Bégin." Thesis, McGill University, 1986. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=66205.

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Prochazka, Vladimir. "Aspects of trace anomaly in perturbation theory and beyond." Thesis, University of Edinburgh, 2017. http://hdl.handle.net/1842/28779.

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In this thesis we study the connection between conformal symmetry breaking and the the renormalization group. In the first chapter we review the main properties of conformal field theories (CFTs), Wilsonian RG and describe how renormalization induces a flow between different CFTs. The prominent role is given to the trace of energy-momentum tensor (TEMT) as a measure for conformal symmetry violation. Scaling properties of supersymmetric gauge theories are also reviewed . In the second chapter the quantum action principle is introduced as a scheme for renormalizing composite operators. The framework is then applied to derive conditions for UV finiteness of two-point correlators of composite operators with special emphasis on TEMT. We then proceed to discuss the application of the Feynman-Hellmann theorem to evaluate gluon condensates. In the third chapter the basic elements the Trace anomaly on curved space are examined. The finiteness results from Chapter 2 are given physical meaning in relation with the RG flow of the geometrical quantity ~ d (coefficient of □R in the anomaly). The last chapter is dedicated to the a-theorem. First we apply some of the results derived in Chapter 3 to extend the known perturbative calculation for the flow of the central charge βa for gauge theories with Banks-Zaks fixed point. In the last part we review the main ideas of the recent proof of the a-theorem by Komargodski and Schwimmer and apply their formalism to re-derive the known non-perturbative formula for ∆ βa of SUSY conformal window theories.
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Haruta, Naoki. "Vibronic Coupling Density as a Chemical Reactivity Index and Other Aspects." 京都大学 (Kyoto University), 2016. http://hdl.handle.net/2433/215567.

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Somfleth, Kim Yves. "Hadron Structure Using Feynman-Hellmann Theorem." Thesis, 2020. http://hdl.handle.net/2440/127278.

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Hadrons, such as protons and neutrons, are states that are formed through interactions of quarks and gluons, the fundamental building blocks of Quantum Chromodynamics (QCD). The role of non–perturbative effects in the emergent behaviour of QCD is a key ingredient in our understanding hadrons and hence the atoms formed thereof. These dynamics have important consequences for matter in the universe from the atomic scale to neutron stars and beyond. We use an ab initio non–perturbative numerical path integral based approach to QCD, known as lattice QCD. Advancing computing resources have made possible rapid advances in hadronic studies in lattice QCD, but many challenges still remain. Two areas of vital importance to our understanding of QCD and future experiments are gluonic observables and structure functions. Gluonic observables are difficult to calculate on the lattice due to sensitivity to short distance gauge noise. Naïve structure function calculations suffer from rapidly increasing computational cost as the lattice grows to a size where discretisation systematics are under control, as well as problems matching onto Minkowski matrix elements. A modification to the QCD action changes the energy eigenstates of hadrons. The shift in these eigenstates can be related to matrix elements with interactions introduced in the shifted action via the Feynman–Hellmann Theorem (FHT). We show how the FHT can be extended to second order to calculate two current hadronic matrix elements using only two–point function techniques. A detailed analysis on how to improve uncertainty and reduce computational requirements of any FHT calculation is given. Using the FHT the full Compton amplitude is calculated, which allow us to explore assumptions made in experimental parton studies in Deep Inelastic Scattering (DIS). The subtraction function, given in terms of the Compton amplitude is not experimentally extractable and is examined from first–principles for the first time. Gluonic matrix elements are traditionally difficult to calculate on the lattice. By using Wilson flow to reduce short distance effects, forward matrix elements are determinable with reduced uncertainty. By classification of the Lorenz structure of off–forward gluonic matrix elements, the extraction of non–forward matrix elements were also made possible, providing further insight into the highly non–perturbative binding of hadrons.
Thesis (Ph.D.) -- University of Adelaide, School of Physical Sciences, 2020
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Chambers, Alexander John. "Hadron structure and the Feynman-Hellmann theorem in lattice quantum chromodynamics." Thesis, 2018. http://hdl.handle.net/2440/114262.

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The vast majority of visible matter in the universe is made up of protons and neutrons, the fundamental building blocks of atomic nuclei. Protons and neutrons are examples of hadrons, composite states formed from point-like quarks and gluons. Understanding the dynamics of quarks and gluons inside hadrons has far-reaching implications, from the properties of heavy nuclei to the dynamics of neutron stars. Quantum Chromodynamics (QCD) is the gauge field theory (GFT) describing the interactions of colour-charged quarks and gluons. At the low energy scales relevant to hadron structure calculations, QCD is non-perturbative, and the techniques applied to other GFTs cannot be used. At the forefront of the non-perturbative methods is Lattice QCD, a first-principles approach in which physical observables are calculated numerically through a discretisation of the Feynman path integral. Hadron structure calculations in lattice QCD have made significant advances in recent years, however many challenges still remain. Most notably amongst these are precise calculations of ‘disconnected’ contributions to hadronic quantities, the control of excited-state contamination, and the calculation of matrix elements at large boosts. In this thesis we develop and show how a method based on the Feynman-Hellmann (FH) theorem deals with many of these issues. The method allows matrix elements to be determined indirectly, through the introduction of artificial couplings to the QCD Lagrangian, and the calculation of the resulting shifts in the hadron spectrum. We have calculated disconnected contributions to the axial charge of the nucleon, and see excellent agreement with existing stochastic results, as well as good excited-state control. Our results for the electromagnetic form factors of the proton are the first in lattice to show agreement with the linear decrease of GE,p/GM,p [E,p and M,p subscript] observed in experiment. Additionally, exploratory simulations have shown that an extension of the FH theorem to second order allows direct access to the structure functions of the nucleon, another first in lattice QCD. These calculations demonstrate an expanded scope for lattice studies of hadronic observables, particular for processes involving high momentum transfer. Extensions of this work will have important implications for future experimental investigations at the upgraded Continuous Electron Beam Accelerator Facility.
Thesis (Ph.D.) -- University of Adelaide, School of Physical Sciences, 2018
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Addagarla, Tejas. "Geometry Optimization of Molecular Systems Using All-Electron Density Functional Theory in a Real-Space Mesh Framework." 2013. https://scholarworks.umass.edu/theses/994.

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The goal of computational research in the fields of engineering, physics, chemistry or as a matter of fact in any field, is to study the properties of systems from the various principles available. In computational engineering, particularly in nano-scale simulations involving low-energy physics or chemistry, the goal is to model such structures and understand their properties from first principles or better known as \textit{Ab Initio} calculations. Geometry optimization is the basic component used in modeling molecules. The calculations involved are used to find the coordinates or the positions of the atoms of the molecule where it has the minimum energy and is hence stable. Efficient calculation of the forces acting on the atoms is the most important factor to be able to study the stable geometry of a molecule. In this thesis, the approach used begins with efficient electronic structure calculations using all electron calculations which paves the way for efficient force calculations. Kohn-Sham equations Density functional theory (DFT) are used to find the electron wave functions as accurately as possible using a finite element basis that introduces minimum errors in calculations. FEAST, a highly efficient density matrix based eigenvalue solver, is used to obtain accurate eigenvalues. Derivation of forces is done using the Hellmann-Feynman theorem. To find the minimum energy configuration of the system, Newton's iterative method is used that converges to the desired coordinates where the energy at the global minimum is found. The theory behind energy minimization and the calculations involved will be elaborated in this thesis and a method to move the atom in the existing framework will be discussed.
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平尾, 公彦, and 博. 中辻. "クラスター展開法を利用した新しい波動関数理論の開発とその応用." 1991. http://hdl.handle.net/2237/12960.

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Book chapters on the topic "Feynman-Hellmann"

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Kovner, Michail A. "Hans Hellmann of the Hellmann–Feynman Theorem." In Culture of Chemistry, 31. Boston, MA: Springer US, 2015. http://dx.doi.org/10.1007/978-1-4899-7565-2_6.

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Surján, Péter R. "Second Quantization and the Hellmann-Feynman Theorem." In Second Quantized Approach to Quantum Chemistry, 114–20. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-74755-7_14.

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"The Hellmann-Feynman Theorem." In Back-of-the-Envelope Quantum Mechanics, 119–27. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814508476_0008.

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TACHIBANA, AKITOMO, TOKIO YAMABE, and KENICHI FUKUI. "Theory of decaying states based on a method of coupled equations: Kapur–Peierls and Siegert resonant states and the ‘extended’ Hellmann–Feynman theorem." In Frontier Orbitals and Reaction Paths, 530–43. WORLD SCIENTIFIC, 1997. http://dx.doi.org/10.1142/9789812795847_0052.

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Conference papers on the topic "Feynman-Hellmann"

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Gambhir, Arjun S., David Brantley, Pavlos Vranas, Evan Berkowitz, Chia Chang, Kate Clark, Thorsten Kurth, Andre Walker-Loud, Chris Monahan, and Amy Nicholson. "The Stochastic Feynman-Hellmann Method." In The 36th Annual International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2019. http://dx.doi.org/10.22323/1.334.0126.

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Rackers, Joshua. "The Hellmann-Feynman Theorem Revisited." In Proposed for presentation at the PsiCon 2020 held December 3-6, 2020 in N/A, N/A. US DOE, 2020. http://dx.doi.org/10.2172/1835183.

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Chambers, Alexander, Jack Dragos, Roger Horsley, Yoshifumi Nakamura, Holger Perlt, Dirk Pleiter, Paul Rakow, et al. "Hadron Structure from the Feynman-Hellmann Theorem." In 34th annual International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2017. http://dx.doi.org/10.22323/1.256.0168.

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Hannaford-Gunn, Alec, Roger Horsley, Holger Perlt, Paul Rakow, Gerrit Schierholz, Hinnerk Stuben, Ross Young, James Zanotti, and Kadir Utku Can. "Generalised Parton Distributions from Lattice Feynman-Hellmann Techniques." In The 38th International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.396.0088.

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Young, Ross, Alexander Chambers, Roger Horsley, Yoshifumi Nakamura, Holger Perlt, Dirk Pleiter, Paul E. L. Rakow, et al. "Applications of the Feynman-Hellmann theorem in hadron structure." In The 33rd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.251.0125.

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Batelaan, Mischa, Roger Horsley, Yoshifumi Nakamura, Holger Perlt, Dirk Pleiter, Paul Rakow, Gerrit Schierholz, Hinnerk Stuben, Ross Young, and James Zanotti. "Nucleon Form Factors from the Feynman-Hellmann Method in Lattice QCD." In The 38th International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.396.0426.

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Oates, William S. "Correlations Between Quantum Mechanics and Continuum Mechanics for Ferroelectric Material Simulations." In ASME 2013 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/smasis2013-3184.

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Higher order effects in ferroelectric materials are investigated by integrating electron density calculations using quantum mechanics into a homogenized, nonlinear continuum modeling framework. Electrostatic stresses based on the Hellmann-Feynman theorem are used to identify connections with the higher order quadrupole density. These higher order relations are integrated into a nonlinear mechanics free energy function to simulate electromechanical coupling. A specific example is investigated by conducting density functional theory (DFT) calculations on barium titanate and fitting the results to a thermodynamic potential function. Through the use of nonlinear geometric effects, electromechanical coupling is obtained without the use of electrostrictive or piezoelectric coupling coefficients.
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Rackers, Joshua. "What can machine learning and the Hellmann-Feynman Theorem teach us about the limits of electron correlation?." In Proposed for presentation at the American Chemical Society Fall Meeting in , . US DOE, 2021. http://dx.doi.org/10.2172/1884141.

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