Mechanics

Pramana

, Volume 4, Issue 1, pp 1-18

The Hamilton-Jacobi equation revisited

  • K Babu JosephAffiliated withCentre for Theoretical Studies, Indian Institute of Science
  • , N MukundaAffiliated withCentre for Theoretical Studies, Indian Institute of Science

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

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