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Mapping of solutions of the Hamilton-Jacobi equation by an arbitrary\n canonical transformation

2014/03/19 by G. F. Torres del Castillo, del Castillo, G. F. Torres, H.H. Cruz Domínguez +8
Computer Science · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Classical Physics (physics.class-ph) #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Nonlinear Dynamics and Pattern Formation #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1403.4963

openalex publication_date 2014/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that given an arbitrary canonical transformation and an arbitrary\nHamiltonian, there is a naturally defined mapping that sends any solution of\nthe Hamilton-Jacobi (HJ) equation into a solution of the HJ equation\ncorresponding to the new Hamiltonian\n

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