Pramana

, Volume 4, Issue 1, pp 1–18 | Cite as

The Hamilton-Jacobi equation revisited

  • K Babu Joseph
  • N Mukunda
Mechanics
  • 36 Downloads

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, classical Hamilton-Jacobi theory 

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References

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Copyright information

© the Indian Academy of Sciences 1975

Authors and Affiliations

  • K Babu Joseph
    • 1
  • N Mukunda
    • 1
  1. 1.Centre for Theoretical StudiesIndian Institute of ScienceBangalore

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