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arXiv · hep-th/9406106

Non-hermitian techniques of canonical transformations in quantum mechanics

Haewon Lee·W. S. l'Yi
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Abstract

The quantum mechanical version of the four kinds of classical canonical transformations is investigated by using non-hermitian operator techniques. To help understand the usefulness of this appoach the eigenvalue problem of a harmonic oscillator is solved in two different types of canonical transformations. The quantum form of the classical Hamiton-Jacobi theory is also employed to solve time dependent Schrödinger wave equations, showing that when one uses the classical action as a generating function of the quantum canonical transformation of time evolutions of state vectors, the corresponding propagator can easily be obtained.

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Haewon Lee, W. S. l'Yi. 1994-06-16. Non-hermitian techniques of canonical transformations in quantum mechanics. https://doi.org/10.1103/physreva.51.982

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