Pramana

, Volume 4, Issue 1, pp 1–18

The Hamilton-Jacobi equation revisited

Authors

  • K Babu Joseph
    • Centre for Theoretical StudiesIndian Institute of Science
  • N Mukunda
    • Centre for Theoretical StudiesIndian Institute of Science
Mechanics

DOI: 10.1007/BF02852260

Cite this article as:
Joseph, K.B. & Mukunda, N. Pramana - J. Phys (1975) 4: 1. doi:10.1007/BF02852260
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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.

Keywords

Mechanics, classicalHamilton-Jacobi theory
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© the Indian Academy of Sciences 1975