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Relevant bibliographies by topics / Hamiltonian equivalence

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Journal articles

Academic literature on the topic 'Hamiltonian equivalence'

Author: Grafiati

Published: 10 March 2023

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Journal articles on the topic "Hamiltonian equivalence"

1

Qian, Jing, Yun Zeng, Li Xiang Zhang, and Tian Mao Xu. "Analysis on Equivalence between Transfer Function and Equivalent Circuit Simulation in General Hamiltonian Modeling." Applied Mechanics and Materials 204-208 (October 2012): 4896–99. http://dx.doi.org/10.4028/www.scientific.net/amm.204-208.4896.

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Take generator system included AVR (automatic voltage regulator) and PSS (power system stabilizer) as an example, Using the time simulation method, Study the equivalence between the transfer function model and the equivalent circuit simulation, and establish the corresponding relations between the circuit structures, internal parameters and transfer function parameters, based on the energy of equivalent circuit, the Hamiltonian function of transfer function is derived indirectly, and the Hamiltonian model is established. The study in this paper provides a new way to establish generalized Hamiltonian model for linear system based on transfer function.

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2

Nikitin, A. G., and V. V. Tretynyk. "Parasupersymmetries and Non-Lie Constants of Motion for Two-Particle Equations." International Journal of Modern Physics A 12, no. 24 (1997): 4369–86. http://dx.doi.org/10.1142/s0217751x97002371.

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We search for hidden symmetries of two-particle equations with oscillator-equivalent potential, proposed by Moshinsky with collaborators. We proved that these equations admit hidden symmetries and parasupersymmetries which enable one to easily find the Hamiltonian spectra using algebraic methods and to construct exact Foldy–Wouthuysen transformations. Moreover, we demonstrate that these equations are reducible and generate Hamiltonians for pararelativistic or Kemmer oscillators. We also establish equivalence relations between different approaches to Kemmer oscillator and propose new one- and two-particle equations with oscillator-equivalent potentials.

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3

DERIGLAZOV, A. A., W. OLIVEIRA, and G. OLIVEIRA-NETO. "EQUIVALENCE BETWEEN DIFFERENT CLASSICAL TREATMENTS OF THE O(N) NONLINEAR SIGMA MODEL AND THEIR FUNCTIONAL SCHRÖDINGER EQUATIONS." International Journal of Modern Physics A 18, no. 05 (2003): 755–66. http://dx.doi.org/10.1142/s0217751x03013867.

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In this work we derive the Hamiltonian formalism of the O(N) nonlinear sigma model in its original version as a second-class constrained field theory and then as a first-class constrained field theory. We treat the model as a second-class constrained field theory by two different methods: the unconstrained and the Dirac second-class formalisms. We show that the Hamiltonians for all these versions of the model are equivalent. Then, for a particular factor-ordering choice, we write the functional Schrödinger equation for each derived Hamiltonian. We show that they are all identical which justifies our factor-ordering choice and opens the way for a future quantization of the model via the functional Schrödinger representation.

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4

Balajany, Hamideh, and Mohammad Mehrafarin. "Geometric phase of cosmological scalar and tensor perturbations in f(R) gravity." Modern Physics Letters A 33, no. 14 (2018): 1850077. http://dx.doi.org/10.1142/s0217732318500773.

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By using the conformal equivalence of f(R) gravity in vacuum and the usual Einstein theory with scalar-field matter, we derive the Hamiltonian of the linear cosmological scalar and tensor perturbations in f(R) gravity in the form of time-dependent harmonic oscillator Hamiltonians. We find the invariant operators of the resulting Hamiltonians and use their eigenstates to calculate the adiabatic Berry phase for sub-horizon modes as a Lewis–Riesenfeld phase.

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5

M, Nandakumar, and K. S. Subrahamanian Moosath. "Rough Liouville Equivalence of Integrable Hamiltonian Systems." Advances in Dynamical Systems and Applications 15, no. 2 (2020): 153–69. http://dx.doi.org/10.37622/adsa/15.2.2020.153-169.

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6

Nirov, Kh S., and A. V. Razumov. "Equivalence between Lagrangian and Hamiltonian BRST formalisms." Journal of Mathematical Physics 34, no. 9 (1993): 3933–53. http://dx.doi.org/10.1063/1.530410.

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7

Martynchuk, N. N. "Semi-local Liouville equivalence of complex Hamiltonian systems defined by rational Hamiltonian." Topology and its Applications 191 (August 2015): 119–30. http://dx.doi.org/10.1016/j.topol.2015.05.090.

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8

AMICO, LUIGI. "ALGEBRAIC EQUIVALENCE BETWEEN CERTAIN MODELS FOR SUPERFLUID–INSULATOR TRANSITION." Modern Physics Letters B 14, no. 21 (2000): 759–66. http://dx.doi.org/10.1142/s0217984900000963.

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Algebraic contraction is proposed to realize mappings between Hamiltonian models. This transformation contracts the algebra of the degrees of freedom underlying the Hamiltonian. The rigorous mapping between the anisotropic XXZ Heisenberg model, the quantum phase model and the Bose Hubbard model is established as the contractions of the algebra u(2) underlying the dynamics of the XXZ Heisenberg model.

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9

Cheng, Daizhan, Alessandro Astolfi, and Romeo Ortega. "On feedback equivalence to port controlled Hamiltonian systems." Systems & Control Letters 54, no. 9 (2005): 911–17. http://dx.doi.org/10.1016/j.sysconle.2005.02.005.

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10

Salat, A. "Hamiltonian Approach to Magnetic Fields with Toroidal Surfaces." Zeitschrift für Naturforschung A 40, no. 10 (1985): 959–67. http://dx.doi.org/10.1515/zna-1985-1001.

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The equivalence of magnetic field line equations to a one-dimensional time-dependent Hamiltonian system is used to construct magnetic fields with arbitrary toroidal magnetic surfaces I = const. For this purpose Hamiltonians H which together with their invariants satisfy periodicity constraints have to be known. The choice of H fixes the rotational transform η(I). Arbitrary axisymmetric fields, and nonaxisymmetric fields with constant η(I) are considered in detail.Configurations with coinciding magnetic and current density surfaces are obtained. The approach used is not well suited, however, to satisfying the additional MHD equilibrium condition of constant pressure on magnetic surfaces.

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