G. Marmo, G. Morandi, N. Mukunda
Published 2009-07-06Version 1
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.
Comments: 42 pages, LaTeX with AIMS class
An overview of the Hamilton--Jacobi theory: the classical and geometrical approaches and some extensions and applications
Reduction of Hamilton--Jacobi theory
Geometrical Description of Quantum Mechanics - Transformations and Dynamics
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