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

Published 19 Mar 2014 in physics.class-ph | (1403.4963v1)

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

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