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The Hamilton-Jacobi equation revisited

Joseph, K Babu and Mukunda, N (1975) The Hamilton-Jacobi equation revisited. In: Pramana, 4 (1). pp. 1-18.

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Abstract

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.

Item Type: Journal Article
Publication: Pramana
Publisher: Indian Academy of Sciences
Additional Information: Copyright of this article belongs to Indian Academy of Sciences.
Keywords: Mechanics;classical;Hamilton-Jacobi theory.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited: 23 Jan 2010 04:37
Last Modified: 19 Sep 2010 05:48
URI: http://eprints.iisc.ac.in/id/eprint/23926

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