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Relevant bibliographies by topics / Matriz hamiltoniana

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Academic literature on the topic 'Matriz hamiltoniana'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Matriz hamiltoniana"

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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 (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

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Bravyi, S., D. P. DiVincenzo, R. Oliveira, and B. M. Terhal. "The complexity of stoquastic local Hamiltonian problems." Quantum Information and Computation 8, no. 5 (2008): 361–85. http://dx.doi.org/10.26421/qic8.5-1.

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We study the complexity of the Local Hamiltonian Problem (denoted as LH-MIN) in the special case when a Hamiltonian obeys the condition that all off-diagonal matrix elements in the standard basis are real and non-positive. We will call such Hamiltonians, which are common in the natural world, stoquastic. An equivalent characterization of stoquastic Hamiltonians is that they have an entry-wise non-negative Gibbs density matrix for any temperature. We prove that LH-MIN for stoquastic Hamiltonians belongs to the complexity class \AM{}--- a probabilistic version of \NP{} with two rounds of communi

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Crosson, Elizabeth, Tameem Albash, Itay Hen, and A. P. Young. "De-Signing Hamiltonians for Quantum Adiabatic Optimization." Quantum 4 (September 24, 2020): 334. http://dx.doi.org/10.22331/q-2020-09-24-334.

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Quantum fluctuations driven by non-stoquastic Hamiltonians have been conjectured to be an important and perhaps essential missing ingredient for achieving a quantum advantage with adiabatic optimization. We introduce a transformation that maps every non-stoquastic adiabatic path ending in a classical Hamiltonian to a corresponding stoquastic adiabatic path by appropriately adjusting the phase of each matrix entry in the computational basis. We compare the spectral gaps of these adiabatic paths and find both theoretically and numerically that the paths based on non-stoquastic Hamiltonians have

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H. Sierra, V., C. A. Aguirre, and José José Barba-Ortega. "Interpretación didáctica de la teoría de grupos aplicada en cristales." Respuestas 23, no. 1 (2018): 68. http://dx.doi.org/10.22463/0122820x.1337.

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ResumenLa determinación del Hamiltoniano de una molécula o un cristal puede llegar a ser un problema muy complicado; sin embargo, las consideraciones de simetría sobre el problema pueden llegar a simplificarlo de manera sustancial. Razón por la cual, es pertinente buscar el mayor número de simetrías de un cristal. En este punto, se realza la importancia de la teoría de grupos como herramienta de cálculo, pues a través de ésta, se sintetizan todas las propiedades del cristal: las rotaciones, las inversiones y las reflexiones. Empero, el estudio realizado por muchos libros acerca de esta temátic

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Low, Guang Hao, and Isaac L. Chuang. "Hamiltonian Simulation by Qubitization." Quantum 3 (July 12, 2019): 163. http://dx.doi.org/10.22331/q-2019-07-12-163.

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We present the problem of approximating the time-evolution operatore−iH^tto errorϵ, where the HamiltonianH^=(⟨G|⊗I^)U^(|G⟩⊗I^)is the projection of a unitary oracleU^onto the state|G⟩created by another unitary oracle. Our algorithm solves this with a query complexityO(t+log⁡(1/ϵ))to both oracles that is optimal with respect to all parameters in both the asymptotic and non-asymptotic regime, and also with low overhead, using at most two additional ancilla qubits. This approach to Hamiltonian simulation subsumes important prior art considering Hamiltonians which ared-sparse or a linear combinatio

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MARTÍNEZ, D., R. D. MOTA, and V. D. GRANADOS. "SYMMETRY AND SUPERSYMMETRY OF A NEUTRON IN THE MAGNETIC FIELD OF A LINEAR CURRENT." International Journal of Modern Physics A 21, no. 32 (2006): 6621–28. http://dx.doi.org/10.1142/s0217751x06034446.

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We study a neutron in an external magnetic field in coordinate space and show that the 2 × 2 radial matrix operators that factorize the Hamiltonian are contained within the constants of motion of the problem. Also we show that the 2 × 2 partners Hamiltonians satisfy the shape invariance condition.

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Bracken, P. "Article." Canadian Journal of Physics 76, no. 9 (1998): 707–17. http://dx.doi.org/10.1139/p98-048.

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A method for calculating complete secular polynomials is discussedthat is based on the evaluation of matrix elementsof a specific Hamiltonian.Several Hamiltonians are presented and described in detail as well astheir physical significance. It is shown that theycan be transformed into an equivalent form in termsof raising and lowering operators, and the third componentof the spin operator. A basis set is definedand the action of a specific Hamiltonian on thebasis set is described in detail. Several Hamiltoniansare given explicitly and in matrix form. Results in terms of secularpolynomials for a

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CLARK, T. E., S. T. LOVE, and S. R. NOWLING. "NONRELATIVISTIC SPIN-½ PARTICLE IN AN ARBITRARY NON-ABELIAN MAGNETIC FIELD IN TWO SPATIAL DIMENSIONS." Modern Physics Letters A 17, no. 02 (2002): 95–101. http://dx.doi.org/10.1142/s0217732302006187.

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The (group and spin space) matrix Hamiltonian describing the dynamics of a non-relativistic spin-½ particle moving in a static, but spatially dependent, non-Abelian magnetic field in two spatial dimensions is shown to take the form of an anticommutator of a nilpotent operator and its Hermitian conjugate. Consequently, the (group space) matrix Hamiltonians for the two different spin projections form partners of a supersymmetric quantum mechanical system. The resulting supersymmetry algebra is exploited to explicitly construct the exact zero energy ground state wave function(s) for the system. T

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BALLESTEROS, ANGEL. "SYMMETRY, INTEGRABILITY AND DEFORMATIONS OF LONG-RANGE INTERACTING HAMILTONIANS." International Journal of Modern Physics B 13, no. 24n25 (1999): 2903–8. http://dx.doi.org/10.1142/s0217979299002721.

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The notion of coalgebra symmetry in Hamiltonian systems is analysed. It is shown how the complete integrability of some long-range interacting Hamiltonians can be extracted from their associated coalgebra structure with no use of a quantum R-matrix. Within this framework, integrable deformations can be considered as direct consequences of the introduction of coalgebra deformations (quantum algebras). As an example, the Gaudin magnet is derived from a sl(2) coalgebra, and a completely integrable deformation of this Hamiltonian is obtained through a twisted gl(2) quantum algebra.

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CIAMPINI, DONATELLA, OLIVER MORSCH, and ENNIO ARIMONDO. "QUANTUM CONTROL IN STRONGLY DRIVEN OPTICAL LATTICES." International Journal of Quantum Information 09, supp01 (2011): 139–44. http://dx.doi.org/10.1142/s0219749911007150.

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Matter waves can be coherently and adiabatically loaded and controlled in strongly driven optical lattices. This coherent control is used in order to modify the modulus and the sign of the tunneling matrix element in the tunneling Hamiltonian. Our findings pave the way for studies of driven quantum systems and new methods for engineering Hamiltonians that are impossible to realize with static techniques.

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Dissertations / Theses on the topic "Matriz hamiltoniana"

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Palhares, Reinaldo Martinez. "Controle 'H ANTPOT. INFINITO' no espaço de variaveis de estado." [s.n.], 1995. http://repositorio.unicamp.br/jspui/handle/REPOSIP/259731.

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Orientador: Pedro Luis Dias Peres<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Eletrica<br>Made available in DSpace on 2018-07-20T03:14:53Z (GMT). No. of bitstreams: 1 Palhares_ReinaldoMartinez_M.pdf: 5369572 bytes, checksum: a004dacfae4d8af8aa6b279538ff11a3 (MD5) Previous issue date: 1995<br>Resumo: Resumo: Este trabalho trata de três abordagens para o problema de controle 'H ANTPOT. INFINITO¿ por realimentação de estado. A primeira baseia-se na solvabilidade de equações algébricas de Riccati, a segunda explora a convexidade das expressões matriciai

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Gigola, Silvia Viviana. "Optimización del problema de valor propio inverso para matrices estructuradas." Doctoral thesis, Universitat Politècnica de València, 2018. http://hdl.handle.net/10251/106367.

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Un área importante de la Matemática Aplicada es el Análisis Matricial dado que muchos problemas pueden reformularse en términos de matrices y de así facilitar su resolución. El problema de valor propio inverso consiste en la reconstrucción de una matriz a partir de datos espectrales dados. Este tipo de problemas se presenta en diferentes áreas de la ingeniería y surge en numerosas aplicaciones. En esta tesis se resuelve el problema de valor propio inverso para tres tipos específicos de matrices. Los problemas de valores propios inversos han sido estudiados tanto desde los puntos de vista teóri

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Mehrmann, Volker, and Hongguo Xu. "Lagrangian invariant subspaces of Hamiltonian matrices." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501133.

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The existence and uniqueness of Lagrangian invariant subspaces of Hamiltonian matrices is studied. Necessary and sufficient conditions are given in terms of the Jordan structure and certain sign characteristics that give uniqueness of these subspaces even in the presence of purely imaginary eigenvalues. These results are applied to obtain in special cases existence and uniqueness results for Hermitian solutions of continuous time algebraic Riccati equations.

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Benner, Peter, and Cedric Effenberger. "A rational SHIRA method for the Hamiltonian eigenvalue problem." Universitätsbibliothek Chemnitz, 2009. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200900026.

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The SHIRA method of Mehrmann and Watkins belongs among the structure preserving Krylov subspace methods for solving skew-Hamiltonian eigenvalue problems. It can also be applied to Hamiltonian eigenproblems by considering a suitable transformation. Structure induced shift-and-invert techniques are employed to steer the algorithm towards the interesting region of the spectrum. However, the shift cannot be altered in the middle of the computation without discarding the information that has been accumulated so far. This paper shows how SHIRA can be combined with ideas from Ruhe's Rational Krylov a

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Benner, P., V. Mehrmann, and H. Xu. "A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800915.

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A new method is presented for the numerical computation of the generalized eigen- values of real Hamiltonian or symplectic pencils and matrices. The method is strongly backward stable, i.e., it is numerically backward stable and preserves the structure (i.e., Hamiltonian or symplectic). In the case of a Hamiltonian matrix the method is closely related to the square reduced method of Van Loan, but in contrast to that method which may suffer from a loss of accuracy of order sqrt(epsilon), where epsilon is the machine precision, the new method computes the eigenvalues to full possible accuracy.

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Mehrmann, Volker, and Hongguo Xu. "Canonical forms for Hamiltonian and symplectic matrices and pencils." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501069.

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We study canonical forms for Hamiltonian and symplectic matrices or pencils under equivalence transformations which keep the class invariant. In contrast to other canonical forms our forms are as close as possible to a triangular structure in the same class. We give necessary and sufficient conditions for the existence of Hamiltonian and symplectic triangular Jordan, Kronecker and Schur forms. The presented results generalize results of Lin and Ho [17] and simplify the proofs presented there.

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Gu, Xiang. "Hamiltonian structures and Riemann-Hilbert problems of integrable systems." Scholar Commons, 2018. https://scholarcommons.usf.edu/etd/7677.

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We begin this dissertation by presenting a brief introduction to the theory of solitons and integrability (plus some classical methods applied in this field) in Chapter 1, mainly using the Korteweg-de Vries equation as a typical model. At the end of this Chapter a mathematical framework of notations and terminologies is established for the whole dissertation. In Chapter 2, we first introduce two specific matrix spectral problems (with 3 potentials) associated with matrix Lie algebras $\mbox{sl}(2;\mathbb{R})$ and $\mbox{so}(3;\mathbb{R})$, respectively; and then we engender two soliton hierarc

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Meng, Jinghan. "Bi-Integrable and Tri-Integrable Couplings and Their Hamiltonian Structures." Scholar Commons, 2012. http://scholarcommons.usf.edu/etd/4371.

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An investigation into structures of bi-integrable and tri-integrable couplings is undertaken. Our study is based on semi-direct sums of matrix Lie algebras. By introducing new classes of matrix loop Lie algebras, we form new Lax pairs and generate several new bi-integrable and tri-integrable couplings of soliton hierarchies through zero curvature equations. Moreover, we discuss properties of the resulting bi-integrable couplings, including infinitely many commuting symmetries and conserved densities. Their Hamiltonian structures are furnished by applying the variational identities associated w

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Benner, P., R. Byers, and E. Barth. "HAMEV and SQRED: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices Using Van Loanss Square Reduced Method." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800926.

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This paper describes LAPACK-based Fortran 77 subroutines for the reduction of a Hamiltonian matrix to square-reduced form and the approximation of all its eigenvalues using the implicit version of Van Loan's method. The transformation of the Hamilto- nian matrix to a square-reduced Hamiltonian uses only orthogonal symplectic similarity transformations. The eigenvalues can then be determined by applying the Hessenberg QR iteration to a matrix of half the order of the Hamiltonian matrix and taking the square roots of the computed values. Using scaling strategies similar to those suggested for al

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Simoes, Acirete Souza da Rosa. "Solução diagramática de um hamiltoniano de valência intermediária e da rede Kondo." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 1986. http://hdl.handle.net/10183/150167.

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Neste trabalho, é feito um estudo de sistemas de valência intermediária e sistemas Kondo, utilizando um método diagramático para calcular as funções de Green, necessárias ao cálculo das densidades de estado, para estes sistemas.<br>We studied intermediate valence and Kondo systems using a diagrammatic technique to calculate the Green functions.

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Books on the topic "Matriz hamiltoniana"

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Fyodorov, Yan, and Dmitry Savin. Condensed matter physics. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.35.

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This article discusses some applications of concepts from random matrix theory (RMT) to condensed matter physics, with emphasis on phenomena, predicted or explained by RMT, that have actually been observed in experiments on quantum wires and quantum dots. These observations range from universal conductance fluctuations (UCF) to weak localization, non-Gaussian thermopower distributions, and sub-Poissonian shot noise. The article first considers the UCF phenomenon, nonlogarithmic eigenvalue repulsion, and sub-Poissonian shot noise in quantum wires before analysing level and wave function statist

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Stafström, Sven, and Mikael Unge. Disorder-induced electron localization in molecular-based materials. Edited by A. V. Narlikar and Y. Y. Fu. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199533046.013.25.

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This article examines disorder-induced electron localization in molecular-based materials, using DNA and pentacene molecular crystals as examples. In DNA, the disorder is intrinsic and strong, resulting in very short localization lengths. The pentacene crystal, on the other hand, is intrinsically homogeneous and the disorder is extrinsic and weak, which makes a metal–insulator transition (MIT) possible. After providing an overview of carbon-based materials for electronic applications, the article explains the methodology for calculating the localization properties of a DNA double strand and a

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Horing, Norman J. Morgenstern. Q. M. Pictures; Heisenberg Equation; Linear Response; Superoperators and Non-Markovian Equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0003.

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Three fundamental and equivalent mathematical frameworks (“pictures”) in which quantum theory can be lodged are exhibited and their relations and relative advantages/disadvantages are discussed: (1) The Schrödinger picture considers the dynamical development of the overall system state vector as a function of time relative to a fixed complete set of time-independent basis eigenstates; (2) The Heisenberg picture (convenient for the use of Green’s functions) embeds the dynamical development of the system in a time-dependent counter-rotation of the complete set of basis eigenstates relative to th

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Horing, Norman J. Morgenstern. Schwinger Action Principle and Variational Calculus. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0004.

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Chapter 4 introduces the Schwinger Action Principle, along with associated particle and potential sources. While the methods described here originally arose in the relativistic quantum field theory of elementary particle physics, they have also profoundly advanced our understanding of non-relativistic many-particle physics. The Schwinger Action Principle is a quantum-mechanical variational principle that closely parallels the Hamilton Principle of Least Action of classical mechanics, generalizing it to include the role of quantum operators as generalized coordinates and momenta. As such, it un

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Horing, Norman J. Morgenstern. Retarded Green’s Functions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0005.

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Chapter 5 introduces single-particle retarded Green’s functions, which provide the probability amplitude that a particle created at (x, t) is later annihilated at (x′,t′). Partial Green’s functions, which represent the time development of one (or a few) state(s) that may be understood as localized but are in interaction with a continuum of states, are discussed and applied to chemisorption. Introductions are also made to the Dyson integral equation, T-matrix and the Dirac delta-function potential, with the latter applied to random impurity scattering. The retarded Green’s function in the prese

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Book chapters on the topic "Matriz hamiltoniana"

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Pauncz, Ruben. "Calculation of the Hamiltonian Matrix." In The Construction of Spin Eigenfunctions. Springer US, 2000. http://dx.doi.org/10.1007/978-1-4615-4291-9_9.

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Suris, Yuri B. "R-matrix Hierarchies." In The Problem of Integrable Discretization: Hamiltonian Approach. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8016-9_2.

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Haba, Zbigniew. "Hamiltonian time evolution of the density matrix." In Feynman Integral and Random Dynamics in Quantum Physics. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4716-3_13.

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Yafaev, Dima. "On the scattering matrix for N-particle Hamiltonians." In CRM Proceedings and Lecture Notes. American Mathematical Society, 1995. http://dx.doi.org/10.1090/crmp/008/16.

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Avery, John. "Matrix Representations of Many-Particle Hamiltonians in Hyperspherical Coordinates." In Hyperspherical Harmonics. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-2323-2_8.

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Dyall, Kenneth G. "Matrix Approximations to the Dirac Hamiltonian for Molecular Calculations." In Theoretical Chemistry and Physics of Heavy and Superheavy Elements. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0105-1_8.

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’t Hooft, Gerard. "The Discretized Hamiltonian Formalism in PQ $\mathit{PQ}$ Theory." In Fundamental Theories of Physics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-41285-6_19.

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Del Buono, Nicoletta, Cinzia Elia, and L. Lopez. "Symplectic Methods Based on the Matrix Variational Equation for Hamiltonian System." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-47789-6_55.

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Curticapea, Radu, Nathan Lindzey, and Jesper Nederlof. "A Tight Lower Bound for Counting Hamiltonian Cycles via Matrix Rank." In Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms. Society for Industrial and Applied Mathematics, 2018. http://dx.doi.org/10.1137/1.9781611975031.70.

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Pike, E. R., Sarben Sarkar, and J. S. Satchell. "The Dynamics of the Pure State Density Matrix for Hamiltonian Systems." In NATO ASI Series. Springer US, 1987. http://dx.doi.org/10.1007/978-1-4899-5382-7_8.

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Conference papers on the topic "Matriz hamiltoniana"

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Vinayak and Thomas H. Seligman. "Time series, correlation matrices and random matrix models." In LATIN-AMERICAN SCHOOL OF PHYSICS MARCOS MOSHINSKY ELAF: Nonlinear Dynamics in Hamiltonian Systems. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4861704.

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Kothyari, Ashish, Chayan Bhawal, Madhu N. Belur, and Debasattam Pal. "Defective Hamiltonian matrix imaginary eigenvalues and losslessness." In 2019 Fifth Indian Control Conference (ICC). IEEE, 2019. http://dx.doi.org/10.1109/indiancc.2019.8715612.

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Gamel, Omar. "Time Averaged Density Matrix and the Effective Hamiltonian." In Frontiers in Optics. OSA, 2010. http://dx.doi.org/10.1364/fio.2010.ftug8.

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Gomez Rocha, María, and Enrique Ruiz Arriola. "$\pi\pi$ scattering in a renormalized Hamiltonian matrix." In Light Cone 2019 - QCD on the light cone: from hadrons to heavy ions. Sissa Medialab, 2020. http://dx.doi.org/10.22323/1.374.0043.

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Zhao, Lijiang. "A Matrix Solution to Hamiltonian Path of any Graph." In 2010 International Conference on Intelligent Computing and Cognitive Informatics (ICICCI 2010). IEEE, 2010. http://dx.doi.org/10.1109/icicci.2010.117.

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Elwasif, Wael, Ed D'Azevedo, Arghya Chatterjee, Gonzalo Alvarez, Oscar Hernandez, and Vivek Sarkar. "MiniApp for Density Matrix Renormalization Group Hamiltonian Application Kernel." In 2018 IEEE International Conference on Cluster Computing (CLUSTER). IEEE, 2018. http://dx.doi.org/10.1109/cluster.2018.00075.

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Kassis, Marco T., Muhammad Kabir, and Roni Khazaka. "Passive reduced order macromodeling using hamiltonian matrix pencil perturbation." In 2015 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO). IEEE, 2015. http://dx.doi.org/10.1109/nemo.2015.7415080.

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Xiao, Yi Qing, and Roni Khazaka. "Passivity enforcement using half Hamiltonian matrix and frequency hopping." In 2017 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2017. http://dx.doi.org/10.1109/iceaa.2017.8065587.

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Wong, N., and C. K. Chu. "A fast passivity test for descriptor systems via structure-preserving transformations of Skew-Hamiltonian/Hamiltonian matrix pencils." In the 43rd annual conference. ACM Press, 2006. http://dx.doi.org/10.1145/1146909.1146977.

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Wong, N., and C. K. Chu. "A fast passivity test for descriptor systems via structure-preserving transformations of skew-Hamiltonian/Hamiltonian matrix pencils." In 2006 Design Automation Conference. IEEE, 2006. http://dx.doi.org/10.1109/dac.2006.229221.

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