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Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics

Jung-Hoon Kim·Hai-Woong Lee
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Abstract

Canonical transformations using the idea of quantum generating functions are applied to construct a quantum Hamilton-Jacobi theory, based on the analogy with the classical case. An operator and a c-number forms of the time-dependent quantum Hamilton-Jacobi equation are derived and used to find dynamical solutions of quantum problems. The phase-space picture of quantum mechanics is discussed in connection with the present theory.

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Jung-Hoon Kim, Hai-Woong Lee. 2000-05-14. Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics. https://doi.org/10.1139/cjp-77-6-411

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