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arXiv · 0907.0964

The Hamilton--Jacobi Theory and the Analogy between Classical and Quantum Mechanics

G. Marmo·G. Morandi·N. Mukunda
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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.

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G. Marmo, G. Morandi, N. Mukunda. 2009-07-06. The Hamilton--Jacobi Theory and the Analogy between Classical and Quantum Mechanics. https://arxiv.org/abs/0907.0964

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