Marmo, Giuseppe ; Morandi, Giuseppe ; Mukunda, Narasimhaiengar (2009) The Hamilton-Jacobi theory and the analogy between classical and quantum mechanics Journal of Geometric Mechanics, 1 (3). pp. 317-355. ISSN 1941-4889
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Official URL: http://aimsciences.org/journals/displayArticles.js...
Related URL: http://dx.doi.org/10.3934/jgm.2009.1.317
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Mathematical Sciences. |
| Keywords: | Hamilton-Jacobi Equation; Lagrangian System; Hamiltonian System; Semiclassical Approximation |
| ID Code: | 78460 |
| Deposited On: | 20 Jan 2012 04:16 |
| Last Modified: | 18 May 2016 21:16 |
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