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Academic literature on the topic 'Hamiltonians'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 September 2023

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Journal articles on the topic "Hamiltonians"

1

Hiroshima, Fumio. "Weak Coupling Limit with a Removal of an Ultraviolet Cutoff for a Hamiltonian of Particles Interacting with a Massive Scalar Field." Infinite Dimensional Analysis, Quantum Probability and Related Topics 01, no. 03 (July 1998): 407–23. http://dx.doi.org/10.1142/s0219025798000211.

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A Hamiltonian of an interaction system between N-particles and a massive scalar field is considered. The Hamiltonian with an ultraviolet cutoff is defined as a self-adjoint operator acting in a Hilbert space. Renormalized Hamiltonians are defined by subtracting renormalization terms from the Hamiltonian. It is shown that N-body Schrödinger Hamiltonians can be derived from taking a weak coupling limit and removing the ultraviolet cutoff simultaneously for the renormalized Hamiltonians. In particular, in the case where the space dimension equals three, the Yukawa potential appears in the N-body Schrödinger Hamiltonian. It is also shown that, in the case where the space dimensions are one or two, infimum of the spectra of the renormalized Hamiltonians converge to those of the N-body Schrödinger Hamiltonians.

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Pannell, William H. "The intersection between dual potential and sl(2) algebraic spectral problems." International Journal of Modern Physics A 35, no. 32 (November 20, 2020): 2050208. http://dx.doi.org/10.1142/s0217751x20502085.

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The relation between certain Hamiltonians, known as dual, or partner Hamiltonians, under the transformation [Formula: see text] has long been used as a method of simplifying spectral problems in quantum mechanics. This paper seeks to examine this further by expressing such Hamiltonians in terms of the generators of sl(2) algebra, which provides another method of solving spectral problems. It appears that doing so greatly restricts the set of allowable potentials, with the only nontrivial potentials allowed being the Coulomb [Formula: see text] potential and the harmonic oscillator [Formula: see text] potential, for both of which the sl(2) expression is already known. It also appears that, by utilizing both the partner potential transformation and the formalism of the Lie-algebraic construction of quantum mechanics, it may be possible to construct part of a Hamiltonian’s spectrum from the quasi-solvability of its partner Hamiltonian.

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Hastings, Matthew. "Trivial low energy states for commuting Hamiltonians, and the quantum PCP conjecture." Quantum Information and Computation 13, no. 5&6 (May 2013): 393–429. http://dx.doi.org/10.26421/qic13.5-6-3.

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We consider the entanglement properties of ground states of Hamiltonians which are sums of commuting projectors (we call these commuting projector Hamiltonians), in particular whether or not they have ``trivial" ground states, where a state is trivial if it is constructed by a local quantum circuit of bounded depth and range acting on a product state. It is known that Hamiltonians such as the toric code only have nontrivial ground states in two dimensions. Conversely, commuting projector Hamiltonians which are sums of two-body interactions have trivial ground states\cite{bv}. Using a coarse-graining procedure, this implies that any such Hamiltonian with bounded range interactions in one dimension has a trivial ground state. In this paper, we further explore the question of which Hamiltonians have trivial ground states. We define an ``interaction complex" for a Hamiltonian, which generalizes the notion of interaction graph and we show that if the interaction complex can be continuously mapped to a $1$-complex using a map with bounded diameter of pre-images then the Hamiltonian has a trivial ground state assuming one technical condition on the Hamiltonians holds (this condition holds for all stabilizer Hamiltonians, and we additionally prove the result for all Hamiltonians under one assumption on the $1$-complex). While this includes the cases considered by Ref.~\onlinecite{bv}, we show that it also includes a larger class of Hamiltonians whose interaction complexes cannot be coarse-grained into the case of Ref.~\onlinecite{bv} but still can be mapped continuously to a $1$-complex. One motivation for this study is an approach to the quantum PCP conjecture. We note that many commonly studied interaction complexes can be mapped to a $1$-complex after removing a small fraction of sites. For commuting projector Hamiltonians on such complexes, in order to find low energy trivial states for the original Hamiltonian, it would suffice to find trivial ground states for the Hamiltonian with those sites removed. Such trivial states can act as a classical witness to the existence of a low energy state. While this result applies for commuting Hamiltonians and does not necessarily apply to other Hamiltonians, it suggests that to prove a quantum PCP conjecture for commuting Hamiltonians, it is worth investigating interaction complexes which cannot be mapped to $1$-complexes after removing a small fraction of points. We define this more precisely below; in some sense this generalizes the notion of an expander graph. Surprisingly, such complexes do exist as will be shown elsewhere\cite{fh}, and have useful properties in quantum coding theory.

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Liu, Yu, Jin Liu, and Da-jun Zhang. "On New Hamiltonian Structures of Two Integrable Couplings." Symmetry 14, no. 11 (October 27, 2022): 2259. http://dx.doi.org/10.3390/sym14112259.

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In this paper, we present new Hamiltonian operators for the integrable couplings of the Ablowitz–Kaup–Newell–Segur hierarchy and the Kaup–Newell hierarchy. The corresponding Hamiltonians allow nontrivial degeneration. Multi-Hamiltonian structures are investigated. The involutive property is proven for the new and known Hamiltonians with respect to the two Poisson brackets defined by the new and known Hamiltonian operators.

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Orlov, Yu N., V. Zh Sakbaev, and O. G. Smolyanov. "Randomizes hamiltonian mechanics." Доклады Академии наук 486, no. 6 (June 28, 2019): 653–58. http://dx.doi.org/10.31857/s0869-56524866653-658.

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Randomized Hamiltonian mechanics is the Hamiltonian mechanics which is determined by a time-dependent random Hamiltonian function. Corresponding Hamiltonian system is called random Hamiltonian system. The Feynman formulas for the random Hamiltonian systems are obtained. This Feynman formulas describe the solutions of Hamilton equation whose Hamiltonian is the mean value of random Hamiltonian function. The analogs of the above results is obtained for a random quantum system (which is a random infinite dimensional Hamiltonian system). This random quantum Hamiltonians are the part of Hamiltonians of open quantum system.

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Wu, Xin, Ying Wang, Wei Sun, Fu-Yao Liu, and Wen-Biao Han. "Explicit Symplectic Methods in Black Hole Spacetimes." Astrophysical Journal 940, no. 2 (December 1, 2022): 166. http://dx.doi.org/10.3847/1538-4357/ac9c5d.

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Abstract Many Hamiltonian problems in the solar system are separable into two analytically solvable parts, and thus serve as a great chance to develop and apply explicit symplectic integrators based on operator splitting and composing. However, such constructions are not in general available for curved spacetimes in general relativity and modified theories of gravity because these curved spacetimes correspond to nonseparable Hamiltonians without the two-part splits. Recently, several black hole spacetimes such as the Schwarzschild black hole were found to allow for the construction of explicit symplectic integrators, since their corresponding Hamiltonians are separable into more than two explicitly integrable pieces. Although some other curved spacetimes including the Kerr black hole do not have such multipart splits, their corresponding appropriate time-transformation Hamiltonians do. In fact, the key problem in obtaining symplectic analytically integrable decomposition algorithms is how to split these Hamiltonians or time-transformation Hamiltonians. Considering this idea, we develop explicit symplectic schemes in curved spacetimes. We introduce a class of spacetimes whose Hamiltonians are directly split into several explicitly integrable terms. For example, the Hamiltonian of a rotating black ring has a 13-part split. We also present two sets of spacetimes whose appropriate time-transformation Hamiltonians have the desirable splits. For instance, an eight-part split exists in a time-transformed Hamiltonian of a Kerr–Newman solution with a disformal parameter. In this way, the proposed symplectic splitting methods can be used widely for long-term integrations of orbits in most curved spacetimes we know of.

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Liu, Yingkai, and Emil Prodan. "A computer code for topological quantum spin systems over triangulated surfaces." International Journal of Modern Physics C 31, no. 07 (June 26, 2020): 2050091. http://dx.doi.org/10.1142/s0129183120500916.

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We derive explicit closed-form matrix representations of Hamiltonians drawn from tensored algebras, such as quantum spin Hamiltonians. These formulas enable us to soft-code generic Hamiltonian systems and to systematize the input data for uniformly structured as well as for un-structured Hamiltonians. The result is an optimal computer code that can be used as a black box that takes in certain input files and returns spectral information about the Hamiltonian. The code is tested on Kitaev’s toric model deployed on triangulated surfaces of genus 0 and 1. The efficiency of our code enables these simulations to be performed on an ordinary laptop. The input file corresponding to the minimal triangulation of genus 2 is also supplied.

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Konig, R. "Simplifying quantum double Hamiltonians using perturbative gadgets." Quantum Information and Computation 10, no. 3&4 (March 2010): 292–334. http://dx.doi.org/10.26421/qic10.3-4-9.

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Perturbative gadgets were originally introduced to generate effective $k$-local interactions in the low-energy sector of a $2$-local Hamiltonian. Extending this idea, we present gadgets which are specifically suited for realizing Hamiltonians exhibiting non-abelian anyonic excitations. At the core of our construction is a perturbative analysis of a widely used hopping-term Hamiltonian. We show that in the low-energy limit, this Hamiltonian can be approximated by a certain ordered product of operators. In particular, this provides a simplified realization of Kitaev's quantum double Hamiltonians.

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Childs, A. M., and R. Kothari. "Limitations on the simulation of non-sparse Hamiltonians." Quantum Information and Computation 10, no. 7&8 (July 2010): 669–84. http://dx.doi.org/10.26421/qic10.7-8-7.

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The problem of simulating sparse Hamiltonians on quantum computers is well studied. The evolution of a sparse $N \times N$ Hamiltonian $H$ for time $t$ can be simulated using $\O(\norm{Ht} \poly(\log N))$ operations, which is essentially optimal due to a no--fast-forwarding theorem. Here, we consider non-sparse Hamiltonians and show significant limitations on their simulation. We generalize the no--fast-forwarding theorem to dense Hamiltonians, ruling out generic simulations taking time $\o(\norm{Ht})$, even though $\norm{H}$ is not a unique measure of the size of a dense Hamiltonian $H$. We also present a stronger limitation ruling out the possibility of generic simulations taking time $\poly(\norm{Ht},\log N)$, showing that known simulations based on discrete-time quantum walk cannot be dramatically improved in general. On the positive side, we show that some non-sparse Hamiltonians can be simulated efficiently, such as those with graphs of small arboricity.

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SYLJUÅSEN, OLAV F. "RANDOM WALKS NEAR ROKHSAR–KIVELSON POINTS." International Journal of Modern Physics B 19, no. 12 (May 10, 2005): 1973–93. http://dx.doi.org/10.1142/s021797920502964x.

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There is a class of quantum Hamiltonians known as Rokhsar–Kivelson (RK)–Hamiltonians for which static ground state properties can be obtained by evaluating thermal expectation values for classical models. The ground state of an RK–Hamiltonian is known explicitly, and its dynamical properties can be obtained by performing a classical Monte Carlo simulation. We discuss the details of a Diffusion Monte Carlo method that is a good tool for studying statics and dynamics of perturbed RK–Hamiltonians without time discretization errors. As a general result we point out that the relation between the quantum dynamics and classical Monte Carlo simulations for RK–Hamiltonians follows from the known fact that the imaginary-time evolution operator describing optimal importance sampling, where the exact ground state is used as guiding function, is Markovian. Thus quantum dynamics can be studied by classical Monte Carlo for any Hamiltonian provided its ground state is known explicitly and that there is no sign problem.

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Dissertations / Theses on the topic "Hamiltonians"

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ABENDA, SIMONETTA. "Analysis of Singularity Structures for Quasi-Integrable Hamiltonian Systems." Doctoral thesis, SISSA, 1994. http://hdl.handle.net/20.500.11767/4499.

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Nagaj, Daniel. "Local Hamiltonians in quantum computation." Thesis, Massachusetts Institute of Technology, 2008. http://hdl.handle.net/1721.1/45162.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 2008.<br>This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>Includes bibliographical references (p. 169-176).<br>In this thesis, I investigate aspects of local Hamiltonians in quantum computing. First, I focus on the Adiabatic Quantum Computing model, based on evolution with a time- dependent Hamiltonian. I show that to succeed using AQC, the Hamiltonian involved must have local structure, which leads to a result about eigenvalue gaps from information theory. I also improve results about simulating quantum circuits with AQC. Second, I look at classically simulating time evolution with local Hamiltonians and finding their ground state properties. I give a numerical method for finding the ground state of translationally invariant Hamiltonians on an infinite tree. This method is based on imaginary time evolution within the Matrix Product State ansatz, and uses a new method for bringing the state back to the ansatz after each imaginary time step. I then use it to investigate the phase transition in the transverse field Ising model on the Bethe lattice. Third, I focus on locally constrained quantum problems Local Hamiltonian and Quantum Satisfiability and prove several new results about their complexity. Finally, I define a Hamiltonian Quantum Cellular Automaton, a continuous-time model of computation which doesn't require control during the computation process, only preparation of product initial states. I construct two of these, showing that time evolution with a simple, local, translationally invariant and time-independent Hamiltonian can be used to simulate quantum circuits.<br>by Daniel Nagaj.<br>Ph.D.

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Assis, Paulo. "Non-Hermitian Hamiltonians in field theory." Thesis, City University London, 2009. http://openaccess.city.ac.uk/2118/.

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This thesis is centred around the role of non-Hermitian Hamiltonians in Physics both at the quantum and classical levels. In our investigations of two-level models we demonstrate [1] the phenomenon of fast transitions developed in the PT -symmetric quantum brachistochrone problem may in fact be attributed to the non-Hermiticity of evolution operator used, rather than to its invariance under PT operation. Transition probabilities are calculated for Hamiltonians which explicitly violate PT -symmetry. When it comes to Hilbert spaces of infinite dimension, starting with non-Hermitian Hamiltonians expressed as linear and quadratic combinations of the generators of the su(1; 1) Lie algebra, we construct [2] Hermitian partners in the same similarity class. Alongside, metrics with respect to which the original Hamiltonians are Hermitian are also constructed, allowing to assign meaning to a large class of non-Hermitian Hamiltonians possessing real spectra. The finding of exact results to establish the physical acceptability of other non-Hermitian models may be pursued by other means, especially if the system of interest cannot be expressed in terms of Lie algebraic elements. We also employ [3] a representation of the canonical commutation relations for position and momentum operators in terms of real-valued functions and a noncommutative product rule of differential form. Besides exact solutions, we also compute in a perturbative fashion metrics and isospectral partners for systems of physical interest. Classically, our efforts were concentrated on integrable models presenting PT - symmetry. Because the latter can also establish the reality of energies in classical systems described by Hamiltonian functions, we search for new families of nonlinear differential equations for which the presence of hidden symmetries allows one to assemble exact solutions. We use [4] the Painleve test to check whether deformations of integrable systems preserve integrability. Moreover we compare [5] integrable deformed models, which are thus likely to possess soliton solutions, to a broader class of systems presenting compacton solutions. Finally we study [6] the pole structure of certain real valued nonlinear integrable systems and establish that they behave as interacting particles whose motion can be extended to the complex plane in a PT -symmetric way.

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Ramaswami, Geetha Pillaiyarkulam. "Numerical solution of special separable Hamiltonians." Thesis, University of Cambridge, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.627541.

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Moore, David Jeffrey. "Non-adiabatic Berry phases for periodic Hamiltonians." Thesis, University of Canterbury. Physics, 1991. http://hdl.handle.net/10092/8072.

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A method for the calculation of Berry phases for periodic, but not necessarily adiabatic, Hamiltonians is reported. This method is based on a novel factorisation of the evolution operator and is in the spirit of the theory of systems of linear differential equations with periodic coefficients. The use of this approach in practical situations is greatly facilitated by exploiting the Fourier decomposition of the Hamiltonian. This converts the problem into an equivalent time-independent form. The solution to the problem is then expressible in terms of the eigenvectors and eigenvalues of a certain self-adjoint operator called the Floquet Hamiltonian. This operator can be calculated from the Fourier decomposition of the original Hamiltonian. Our formalism has several calculational advantages over the other methods used in the literature. These advantages are best seen by considering standard quantum optical systems such as the semi-classical model of a two-level atom strongly irradiated by a near resonant laser beam. The utility of our formalism is not confined to systems of this type however. For example it can be used to great advantage in the study of systems with time-odd electron-phonon coupling. Apart from its calculational utility, our formalism also has important theoretical applications. Here it is used to clarify the relationship between Berry phases and the time dependence of the Hamiltonian.

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Yildirim, Yolcu Selma. "Eigenvalue inequalities for relativistic Hamiltonians and fractional Laplacian." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/31649.

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Thesis (Ph.D)--Mathematics, Georgia Institute of Technology, 2010.<br>Committee Chair: Harrell, Evans; Committee Member: Chow, Shui-Nee; Committee Member: Geronimo, Jeffrey; Committee Member: Kennedy, Brian; Committee Member: Loss, Michael. Part of the SMARTech Electronic Thesis and Dissertation Collection.

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Bartlett, Bruce. "Flow equations for hamiltonians from continuous unitary transformations." Thesis, Stellenbosch : Stellenbosch University, 2003. http://hdl.handle.net/10019.1/53428.

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Thesis (MSc)--Stellenbosch University, 2003.<br>ENGLISH ABSTRACT: This thesis presents an overview of the flow equations recently introduced by Wegner. The little known mathematical framework is established in the initial chapter and used as a background for the entire presentation. The application of flow equations to the Foldy-Wouthuysen transformation and to the elimination of the electron-phonon coupling in a solid is reviewed. Recent flow equations approaches to the Lipkin model are examined thoroughly, paying special attention to their utility near the phase change boundary. We present more robust schemes by requiring that expectation values be flow dependent; either through a variational or self-consistent calculation. The similarity renormalization group equations recently developed by Glazek and Wilson are also reviewed. Their relationship to Wegner's flow equations is investigated through the aid of an instructive model.<br>AFRIKAANSE OPSOMMING: Hierdie tesis bied 'n oorsig van die vloeivergelykings soos dit onlangs deur Wegner voorgestel is. Die betreklik onbekende wiskundige raamwerk word in die eerste hoofstuk geskets en deurgans as agtergrond gebruik. 'n Oorsig word gegee van die aanwending van die vloeivergelyking vir die Foldy-Wouthuysen transformasie en die eliminering van die elektron-fonon wisselwerking in 'n vastestof. Onlangse benaderings tot die Lipkin model, deur middel van vloeivergelykings, word ook deeglik ondersoek. Besondere aandag word gegee aan hul aanwending naby fasegrense. 'n Meer stewige skema word voorgestel deur te vereis dat verwagtingswaardes vloei-afhanklik is; óf deur gevarieerde óf self-konsistente berekenings. 'n Inleiding tot die gelyksoortigheids renormerings groep vergelykings, soos onlangs ontwikkel deur Glazek en Wilson, word ook aangebied. Hulle verwantskap met die Wegner vloeivergelykings word bespreek aan die hand van 'n instruktiewe voorbeeld.

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Duffus, Stephen N. A. "Open quantum systems, effective Hamiltonians and device characterisation." Thesis, Loughborough University, 2018. https://dspace.lboro.ac.uk/2134/33672.

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We investigate the some of the many subtleties in taking a microscopic approach to modelling the decoherence of an Open Quantum System. We use the RF-SQUID, which will be referred to as a simply a SQUID throughout this paper, as a non-linear example and consider different levels of approximation, with varied coupling, to show the potential consequences that may arise when characterising devices such as superconducting qubits in this manner. We first consider a SQUID inductively coupled to an Ohmic bath and derive a Lindblad master equation, to first and second order in the Baker-Campbell-Hausdorff expansion of the correlation-time-dependent flux operator. We then consider a SQUID both inductively and capacitively coupled to an Ohmic bath and derive a Lindblad master equation to better understand the effect of parasitic capacitance whilst shedding more light on the additions, cancellations and renormalisations that are attributed to a microscopic approach.

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Hyder, Asif M. "Green's operator for Hamiltonians with Coulomb plus polynomial potentials." California State University, Long Beach, 2013.

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Engeler, Marco Bruno Raphael. "New model Hamiltonians for improved orbital basis set convergence." Thesis, Cardiff University, 2006. http://orca.cf.ac.uk/54563/.

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The standard approach in quantum chemistry is to expand the eigenfunctions of the non relativistic Born Oppenheimer Hamiltonian in terms of Slater determinants. The quality improvements of such wavefunctions in terms of the underlying one electron basis is frustratingly slow. The error in the correlation energy decreases only with L 3 where L is the maximum angular momentum present in the basis. The integral evaluation effort that grows with 0(N4) prevents the use of ever larger bases for obtaining more accurate results. Most of the developments are therefore focused on wavefunction models with explicit correlation to get faster convergence. Although highly successful these approaches are computationally very demanding. A different solution might be provided by constructing new operators which take care of the information loss introduced by truncating the basis. In this thesis different routes towards such new operators are investigated.

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Books on the topic "Hamiltonians"

1

Greiter, Martin. Mapping of Parent Hamiltonians. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-24384-4.

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Margaret, Houghton, ed. The Hamiltonians: [100 fascinating lives]. Toronto: J. Lorimer, 2003.

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Benguria, Rafael, Eduardo Friedman, and Marius Mantoiu, eds. Spectral Analysis of Quantum Hamiltonians. Basel: Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0414-1.

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Hafner, Jürgen. From Hamiltonians to Phase Diagrams. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-83058-7.

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Wachsmuth, Jakob. Effective Hamiltonians for constrained quantum systems. Providence, Rhode Island: American Mathematical Society, 2013.

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Minlos, R., ed. Many-Particle Hamiltonians: Spectra and Scattering. Providence, Rhode Island: American Mathematical Society, 1991. http://dx.doi.org/10.1090/advsov/005.

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Bagarello, Fabio, Roberto Passante, and Camillo Trapani, eds. Non-Hermitian Hamiltonians in Quantum Physics. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31356-6.

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Eduardo, Friedman, Mantoiu Marius, and SpringerLink (Online service), eds. Spectral Analysis of Quantum Hamiltonians: Spectral Days 2010. Basel: Springer Basel, 2012.

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Neagu, Mircea, and Alexandru Oană. Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-08885-8.

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Michel, Herman, ed. Global and accurate vibration Hamiltonians from high resolution molecular spectroscopy. New York: Wiley, 1999.

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Book chapters on the topic "Hamiltonians"

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Agrachev, Andrei A., and Yuri L. Sachkov. "Hamiltonian Systems with Convex Hamiltonians." In Control Theory from the Geometric Viewpoint, 207–9. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-06404-7_14.

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Baaquie, Belal Ehsan. "Hamiltonians." In Mathematical Methods and Quantum Mathematics for Economics and Finance, 321–34. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-6611-0_14.

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Shell, Karl. "Hamiltonians." In The New Palgrave Dictionary of Economics, 1–4. London: Palgrave Macmillan UK, 1987. http://dx.doi.org/10.1057/978-1-349-95121-5_1166-1.

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Shell, Karl. "Hamiltonians." In The New Palgrave Dictionary of Economics, 1–4. London: Palgrave Macmillan UK, 2008. http://dx.doi.org/10.1057/978-1-349-95121-5_1166-2.

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Shell, Karl. "Hamiltonians." In The New Palgrave Dictionary of Economics, 5605–9. London: Palgrave Macmillan UK, 2018. http://dx.doi.org/10.1057/978-1-349-95189-5_1166.

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Exner, Pavel. "Pseudo-Hamiltonians." In Open Quantum Systems and Feynman Integrals, 146–212. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5207-2_4.

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Raduta, Apolodor Aristotel. "Boson Hamiltonians." In Nuclear Structure with Coherent States, 363–406. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-14642-3_13.

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Guelachvili, G. "Effective hamiltonians." In Linear Triatomic Molecules, 2–7. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/10837166_2.

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Kimmich, Rainer. "Spin Hamiltonians." In NMR, 418–26. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-60582-6_46.

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Müller, Peter, and Peter Stollmann. "Percolation Hamiltonians." In Random Walks, Boundaries and Spectra, 235–58. Basel: Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0346-0244-0_13.

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Conference papers on the topic "Hamiltonians"

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Butcher, Eric A., and S. C. Sinha. "On the Analysis of Time-Periodic Nonlinear Hamiltonian Dynamical Systems." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0277.

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Abstract In this paper, some analysis techniques for general time-periodic nonlinear Hamiltonian dynamical systems have been presented. Unlike the traditional perturbation or averaging methods, these techniques are applicable to systems whose Hamiltonians contain ‘strong’ parametric excitation terms. First, the well-known Liapunov-Floquet (L-F) transformation is utilized to convert the time-periodic dynamical system to a form in which the linear pan is time invariant. At this stage two viable alternatives are suggested. In the first approach, the resulting dynamical system is transformed to a Hamiltonian normal form through an application of permutation matrices. It is demonstrated that this approach is simple and straightforward as opposed to the traditional methods where a complicated set of algebraic manipulations are required. Since these operations yield Hamiltonians whose quadratic parts are integrable and time-invariant, further analysis can be carried out by the application of action-angle coordinate transformation and Hamiltonian perturbation theory. In the second approach, the resulting quasilinear time-periodic system (with a time-invariant linear part) is directly analyzed via time-dependent normal form theory. In many instances, the system can be analyzed via time-independent normal form theory or by the method of averaging. Examples of a nonlinear Mathieu’s equation and coupled nonlinear Mathieu’s equations are included and some preliminary results are presented.

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Saue, Trond. "Relativistic Hamiltonians for chemistry." In INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2009: (ICCMSE 2009). AIP, 2012. http://dx.doi.org/10.1063/1.4771717.

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Privman, Vladimir, Dima V. Mozyrsky, and Steven P. Hotaling. "Hamiltonians for quantum computing." In AeroSense '97, edited by Steven P. Hotaling and Andrew R. Pirich. SPIE, 1997. http://dx.doi.org/10.1117/12.277664.

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Lévai, G. "On solvable Bohr Hamiltonians." In NUCLEAR PHYSICS, LARGE AND SMALL: International Conference on Microscopic Studies of Collective Phenomena. AIP, 2004. http://dx.doi.org/10.1063/1.1805947.

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5

BENDER, CARL M. "COMPLEX HAMILTONIANS HAVING REAL SPECTRA." In Proceedings of the Second International Symposium. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777850_0002.

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Alexanian, G. "On the renormalization of Hamiltonians." In Montreal-Rochester-Syracuse-Toronto (MRST) conference on high energy physics. AIP, 2000. http://dx.doi.org/10.1063/1.1328913.

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Sheinfux, Hanan Herzig, Stella Schindler, Yaakov Lumer, and Mordechai Segev. "Recasting Hamiltonians with gauged-driving." In CLEO: QELS_Fundamental Science. Washington, D.C.: OSA, 2017. http://dx.doi.org/10.1364/cleo_qels.2017.fth1d.5.

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Hilbert, Astrid. "Degenerate Diffusions with regular Hamiltonians." In FOUNDATIONS OF PROBABILITY AND PHYSICS - 3. AIP, 2005. http://dx.doi.org/10.1063/1.1874570.

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Costello, J. B., S. D. O’Hara, Q. Wu, L. N. Pfeiffer, K. W. West, and M. S. Sherwin. "Experimental Hamiltonian Reconstruction via Polarimetry of High-order Sidebands in a Semiconductor." In CLEO: QELS_Fundamental Science. Washington, D.C.: Optica Publishing Group, 2022. http://dx.doi.org/10.1364/cleo_qels.2022.ftu5b.3.

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Abstract:

Accurate knowledge of the parameters of effective Hamiltonians of quasiparticles is critical for designing the next generation of quantum devices. We present a method to reconstruct quasiparticle Hamiltonians of semiconductors by polarimetry of high-order sidebands.

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Yoshida, Sota, Michio Kohno, Takashi Abe, Takaharu Otsuka, Naofumi Tsunoda, and Noritaka Shimizu. "Shell-Model Hamiltonians from Chiral Forces." In Proceedings of the Ito International Research Center Symposium "Perspectives of the Physics of Nuclear Structure". Journal of the Physical Society of Japan, 2018. http://dx.doi.org/10.7566/jpscp.23.013014.

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Reports on the topic "Hamiltonians"

1

Symon, K. R. Derivation of Hamiltonians for accelerators. Office of Scientific and Technical Information (OSTI), September 1997. http://dx.doi.org/10.2172/555549.

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2

. Trifonov, Dimitar A. Diagonalization of Hamiltonians, Uncertainty Matrices and Robertson Inequality. GIQ, 2012. http://dx.doi.org/10.7546/giq-2-2001-294-312.

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Boozer, A. H. Transformation of Hamiltonians to near action-angle form. Office of Scientific and Technical Information (OSTI), April 1985. http://dx.doi.org/10.2172/5760929.

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Nebgen, Benjamin, Justin Smith, Sergei Tretiak, and Nicholas Lubbers. Closeout Report: Machine Learned Effective Hamiltonians for Molecular Properties. Office of Scientific and Technical Information (OSTI), February 2021. http://dx.doi.org/10.2172/1768446.

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5

Isichenko, M. B., W. Horton, D. E. Kim, E. G. Heo, and D. I. Choi. Stochastic diffusion and Kolmogorov entropy in regular and random Hamiltonians. Office of Scientific and Technical Information (OSTI), May 1992. http://dx.doi.org/10.2172/7205669.

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Isichenko, M. B., W. Horton, D. E. Kim, E. G. Heo, and D. I. Choi. Stochastic diffusion and Kolmogorov entropy in regular and random Hamiltonians. Office of Scientific and Technical Information (OSTI), May 1992. http://dx.doi.org/10.2172/10156433.

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Somma, Rolando Diego. Hamiltonian Simulation. Office of Scientific and Technical Information (OSTI), May 2020. http://dx.doi.org/10.2172/1618318.

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Boozer, A. H. Magnetic field line Hamiltonian. Office of Scientific and Technical Information (OSTI), February 1985. http://dx.doi.org/10.2172/5915503.

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Ritchie, B. Electron-Vector Potential Interaction Hamiltonian. Office of Scientific and Technical Information (OSTI), March 2003. http://dx.doi.org/10.2172/15003914.

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Malitsky, N., G. Bourianoff, and Yu Severgin. Some remarks about pseudo-Hamiltonian. Office of Scientific and Technical Information (OSTI), November 1993. http://dx.doi.org/10.2172/10194905.

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