Results 11 to 20 of about 42,732 (137)
Dirac equation of spin particles and tunneling radiation from a Kinnersly black hole
European Physical Journal C: Particles and Fields, 2017 In curved space-time, the Hamilton–Jacobi equation is a semi-classical particle equation of motion, which plays an important role in the research of black hole physics.
Guo-Ping Li +3 more
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A junction condition by specified homogenization and application to traffic lights [PDF]
, 2015 Given a coercive Hamiltonian which is quasi-convex with respect to the gradient variable and periodic with respect to time and space at least "far away from the origin", we consider the solution of the Cauchy problem of the corresponding Hamilton-Jacobi ...
Galise, Giulio +2 more
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A kinetic eikonal equation [PDF]
, 2012 We analyse the linear kinetic transport equation with a BGK relaxation operator. We study the large scale hyperbolic limit $(t,x)\to (t/\eps,x/\eps)$. We derive a new type of limiting Hamilton-Jacobi equation, which is analogous to the classical eikonal ...
Bouin, Emeric, Calvez, Vincent
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Quantum Hamilton-Jacobi equation [PDF]
, 1997 The nontrivial transformation of the phase space path integral measure under certain discretized analogues of canonical transformations is computed. This Jacobian is used to derive a quantum analogue of the Hamilton-Jacobi equation for the generating ...
A. Anderson +24 more
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Advances in High Energy Physics, 2016 Based on semiclassical tunneling method, we focus on charged fermions tunneling from higher-dimensional Reissner-Nordström black hole. We first simplify the Dirac equation by semiclassical approximation, and then a semiclassical Hamilton-Jacobi equation ...
ShuZheng Yang, Dan Wen, Kai Lin
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Quantization of Hamiltonian and non-Hamiltonian systems
Communications in Analysis and Mechanics, 2023 The quantization process was always tightly connected to the Hamiltonian formulation of classical mechanics. For non-Hamiltonian systems, traditional quantization algorithms turn out to be unsuitable. Numerous attempts to quantize non-Hamiltonian systems
Sergey A. Rashkovskiy
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Hamilton-Jacobi approach to Berezinian singular systems [PDF]
, 1997 In this work we present a formal generalization of the Hamilton-Jacobi formalism, recently developed for singular systems, to include the case of Lagrangians containing variables which are elements of Berezin algebra.
B.M. Pimentel +17 more
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Hamilton-Jacobi Method for Mechanical Systems on Time Scales
Complexity, 2018 This paper presents the Hamilton-Jacobi method for integrating the equations of motion of mechanical systems on time scales. We give the criterion and four basic forms of canonical transformation on time scales.
Xiang-Hua Zhai, Yi Zhang
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SICE Journal of Control, Measurement, and System Integration, 2020 This paper presents a numerical approach to solve the Hamilton-Jacobi-Bellman (HJB) equation, which arises in nonlinear optimal control. In this approach, we first use the successive approximation to reduce the HJB equation, a nonlinear partial ...
Ichiro Maruta +2 more
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Frontiers in Physics, 2023 In this work, we present two finite-dimensional Lie–Poisson Hamiltonian systems associated with the Hirota–Satsuma modified Boussinesq equation by using the nonlinearization method. Moreover, the separation of variables on the common level set of Casimir
Xue Geng, Dianlou Du, Xianguo Geng
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