Hostname: page-component-848d4c4894-wg55d Total loading time: 0 Render date: 2024-06-07T12:41:39.670Z Has data issue: false hasContentIssue false

A Correspondence Principle for Momentum Operators

Published online by Cambridge University Press:  20 November 2018

J. E. Marsden*
Affiliation:
Princeton University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The purpose of this note is to give a precise formulation of the correspondence principle between classical and quantum mechanics, for the case of momentum operators. (See e. g. I. Segal, Journ. Math. Phys. (1960), 475).

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1967

References

1. Abraham - Marsden, , Foundations of Classical Mechanics, Benjamin, New York (1966).Google Scholar
2. Mackey, , Mathematical Foundations of Quantum Mechanics. Benjamin, New York (1966).Google Scholar
3. Marsden, , Mathematical Foundations on Continuum and Distributional Mechanics (to appear).Google Scholar
4. Sternberg, , Lectures on Differential Geometry. Prentice- Hall, N. J. (1966).Google Scholar