, Volume 4, Issue 1, pp 1–18

The Hamilton-Jacobi equation revisited

  • K Babu Joseph
  • N Mukunda

DOI: 10.1007/BF02852260

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


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.


Mechanics, classicalHamilton-Jacobi theory

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
  2. 2.Department of PhysicsCochin UniversityCochin