Canonical Transformations and the Hamilton-Jacobi Theory in Quantum Mechanics
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🪐 quant-ph
keywords
quantumhamilton-jacobitheorycanonicalmechanicstransformationsanalogyapplied
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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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Cited by 1 Pith paper
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