The Hamilton--Jacobi Theory and the Analogy between Classical and Quantum Mechanics
Mathematical Physics
2009-07-07 v1 math.MP
Quantum Physics
Abstract
We review here some conventional as well as less conventional aspects of the time-independent and time-dependent Hamilton-Jacobi (HJ) theory and of its connections with Quantum Mechanics. Less conventional aspects involve the HJ theory on the tangent bundle of a configuration manifold, the quantum HJ theory, HJ problems for general differential operators and the HJ problem for Lie groups.
Keywords
Cite
@article{arxiv.0907.0964,
title = {The Hamilton--Jacobi Theory and the Analogy between Classical and Quantum Mechanics},
author = {G. Marmo and G. Morandi and N. Mukunda},
journal= {arXiv preprint arXiv:0907.0964},
year = {2009}
}
Comments
42 pages, LaTeX with AIMS class