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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Bibliographische Detailangaben
Hauptverfasser: del Castillo, G. F. Torres, Domínguez, H. H. Cruz, Hernández, A. de Yta, Flores, J. E. Herrera, Martínez, A. Sierra
Format: Artikel
Sprache:eng
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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
DOI:10.48550/arxiv.1403.4963