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Quantum Hamilton-Jacobi Equation [PDF]
Physical Review Letters, 1998 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 function of a canonical transformation that maps any quantum system to a system with a vanishing ...
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Hamilton-Jacobi Equations with State Constraints [PDF]
Transactions of the American Mathematical Society, 1990 In the present paper we consider Hamilton-Jacobi equations of the form H ( x , u
CAPUZZO DOLCETTA, Italo, P. L. Lions
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W-Shaped Bright Soliton of the (2 + 1)-Dimension Nonlinear Electrical Transmission Line
Mathematics, 2023 In this paper, we investigate solitary wave solutions of the nonlinear electrical transmission line by using the Jacobi elliptic function and the auxiliary equation methods.
Mustafa Inc +2 more
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Extended Jacobi Functions via Riemann-Liouville Fractional Derivative
Abstract and Applied Analysis, 2013 By means of the Riemann-Liouville fractional calculus, extended Jacobi functions are de fined and some of their properties are obtained. Then, we compare some properties of the extended Jacobi functions extended Jacobi polynomials.
Bayram Çekim, Esra Erkuş-Duman
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A Nonlinear Differential Equation Related to the Jacobi Elliptic Functions
International Journal of Differential Equations, 2012 A nonlinear differential equation for the polar angle of a point of an ellipse is derived. The solution of this differential equation can be expressed in terms of the Jacobi elliptic function dn(u,k).
Kim Johannessen
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Jacobi–Maupertuis metric and Kepler equation [PDF]
International Journal of Geometric Methods in Modern Physics, 2017 This paper studies the application of the Jacobi–Eisenhart lift, Jacobi metric and Maupertuis transformation to the Kepler system. We start by reviewing fundamentals and the Jacobi metric. Then we study various ways to apply the lift to Kepler-related systems: first as conformal description and Bohlin transformation of Hooke’s oscillator, second in ...
Chanda, Sumanto +2 more
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Existence of solutions to contact mean-field games of first order
Advanced Nonlinear Studies, 2022 This paper deals with the existence of solutions of a class of contact mean-field game systems of first order consisting of a contact Hamilton-Jacobi equation and a continuity equation.
Hu Xiaotian, Wang Kaizhi
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Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics
Journal of Applied Mathematics, 2012 We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method.
Khaled A. Gepreel, A. R. Shehata
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Symmetries of the Hamilton-Jacobi equation [PDF]
Компьютерные исследования и моделирование, 2012 The notion of symmetry transformations of the Hamilton-Jacobi equation. For the group of symmetries is shown how to be associated with the Hamiltonian function coefficients of the infinitesimal operator of the group.
Gennadii Nikolaevich Yakovenko
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A Discrete Hamilton–Jacobi Theory for Contact Hamiltonian Dynamics
MathematicsIn this paper, we propose a discrete Hamilton–Jacobi theory for (discrete) Hamiltonian dynamics defined on a (discrete) contact manifold. To this end, we first provide a novel geometric Hamilton–Jacobi theory for continuous contact Hamiltonian dynamics ...
Oğul Esen +2 more
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