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

A. de Yta Hern\'andez; A. Sierra Mart\'inez; G.F. Torres del Castillo; H.H. Cruz Dom\'inguez; J.E. Herrera Flores

arxiv: 1403.4963 · v1 · pith:AFQ6P3SInew · submitted 2014-03-19 · ⚛️ physics.class-ph

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

G.F. Torres del Castillo , H.H. Cruz Dom\'inguez , A. de Yta Hern\'andez , J.E. Herrera Flores , A. Sierra Mart\'inez This is my paper

classification ⚛️ physics.class-ph

keywords arbitraryequationcanonicalhamilton-jacobihamiltonianmappingsolutiontransformation

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

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