The Hamilton-Jacobi equation revisited

A new analysis of the nature of the solutions of the Hamilton-Jacobi equation of classical dynamics is presented based on Caratheodory's theorem concerning canonical transformations. The special role of a principal set of solutions is stressed, and the existence of analogous results in quantum...

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Bibliographic Details
Published in:Pramāṇa 1975-01, Vol.4 (1), p.1-18
Main Authors: Joseph, K Babu, Mukunda, N
Format: Article
Language:English
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Summary:A new analysis of the nature of the solutions of the Hamilton-Jacobi equation of classical dynamics is presented based on Caratheodory's theorem concerning canonical transformations. The special role of a principal set of solutions is stressed, and the existence of analogous results in quantum mechanics is outlined.
ISSN:0304-4289
0973-7111
DOI:10.1007/BF02852260