Mapping of solutions of the Hamilton-Jacobi equation by an arbitrary canonical transformation
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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Zusammenfassung: | 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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DOI: | 10.48550/arxiv.1403.4963 |