Results 11 to 20 of about 5,723 (211)
Discrete Dynamics in Nature and Society, 2016 We derive the Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson’s quantum calculus. Precisely, we give a theorem characterizing nondifferentiable equations, admitting a Hamiltonian formulation.
Frédéric Pierret, Delfim F. M. Torres
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xAct Implementation of the Theory of Cosmological Perturbation in Bianchi I Spacetimes
Mathematics, 2020 This paper presents a computational algorithm to derive the theory of linear gauge invariant perturbations on anisotropic cosmological spacetimes of the Bianchi I type.
Ivan Agullo +2 more
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Journal of High Energy Physics, 2022 In the Hamiltonian formulation of chiral 2k-form electrodynamics, the 2k-form potential on the (4k + 1)-space is defined up to the addition of either (i) a closed 2k-form or (ii) an exact 2k-form, depending on the choice of chirality constraint. Case (i)
Luca Mezincescu, Paul K. Townsend
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Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics
Physical Review Research, 2020 Quantum computers can be used to simulate nonlinear non-Hamiltonian classical dynamics on phase space by using the generalized Koopman–von Neumann formulation of classical mechanics.
Ilon Joseph
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Mathematics, 2021 This work is devoted to review the modern geometric description of the Lagrangian and Hamiltonian formalisms of the Hamilton–Jacobi theory. The relation with the “classical” Hamiltonian approach using canonical transformations is also analyzed ...
Narciso Román-Roy
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Hamiltonian formulation of higher rank symmetric gauge theories
European Physical Journal C: Particles and Fields, 2022 Recent discussions of fractons have evolved around higher rank symmetric gauge theories with emphasis on the role of Gauss constraints. This has prompted the present study where a detailed hamiltonian analysis of such theories is presented.
Rabin Banerjee
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A port-Hamiltonian formulation of coupled heat transfer
Mathematical and Computer Modelling of Dynamical Systems, 2022 Heat transfer and cooling solutions play an important role in the design of gas turbine blades. However, the underlying mathematical coupling structures have not been thoroughly investigated. In this work, the port-Hamiltonian formalism is applied to the
Jens Jäschke +3 more
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Hamiltonian systems with constraints
Revista de Investigación de FísicaWe study the classical Hamiltonian of constraints systems. We will start by defining a Lagrangian function that defines a dynamical system with constraints and then we will derive the corresponding Hamiltonian formulation through a Legendre ...
Mississippi Valenzuela
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Quantum-Walk-Inspired Dynamic Adiabatic Local Search
Entropy, 2023 We investigate the irreconcilability issue that arises when translating the search algorithm from the Continuous Time Quantum Walk (CTQW) framework to the Adiabatic Quantum Computing (AQC) framework.
Chen-Fu Chiang, Paul M. Alsing
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AxiomsThis paper presents an analysis of the Hamiltonian formulation for continuous systems with second-order derivatives derived from Dirac’s theory. This approach offers a unique perspective on the equations of motion compared to the traditional Euler ...
Yazen M. Alawaideh +5 more
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