Quantum mechanics in discrete space and angular momentum. [Commutation relation]
Journal Article
·
· Found. Phys.; (United States)
Recently one studied quantum mechanics of bounded operators with a discrete spectrum. In particular, one derived an expression for the commutator (Q, P) of two bounded operators whose spectrum is discrete, and showed that in the limit of a continuous spectrum the commutator becomes the standard one of Heisenberg. It is shown that the angular momentum operator and the phase operator satisfy the new commutation relation. Also one briefly discusses the problem of the canonical phase operator conjugate to the number operator.
- Research Organization:
- Physikalisches Institut der Universitat, Wurzburg, Ger.
- OSTI ID:
- 7307847
- Journal Information:
- Found. Phys.; (United States), Journal Name: Found. Phys.; (United States) Vol. 7:1/2; ISSN FNDPA
- Country of Publication:
- United States
- Language:
- English
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