American Journal of Physics

Canonical transformation to the free particle

Edward N. Glass, Joseph J. G. Scanio

Published Apr 1, 1977• 13 citations

Abstract

It is shown how to find some canonical transformations without solving the Hamilton–Jacobi equation. The canonical transformation from the harmonic oscillator to the free particle is constructed and used as an example of transformations which cannot be maintained when going from classical to quantum systems. The group of canonical transformations which can be carried over to quantum mechanics is discussed.

DOI: 10.1119/1.10618

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