Hostname: page-component-8448b6f56d-c47g7 Total loading time: 0 Render date: 2024-04-19T21:22:55.742Z Has data issue: false hasContentIssue false
  • English
  • Français

The constrained quantum mechanical harmonic oscillator

Published online by Cambridge University Press:  24 October 2008

P. Dean
P. Dean
Affiliation:
Mathematics Division, National Physical Laboratory, Teddington, Middlesex
Get access Rights & Permissions [Opens in a new window]

Abstract

The effect of restricting the displacements of a quantum mechanical harmonic oscillator to semi-infinite and finite regions is studied. It is shown how the eigenvalue problem may be solved, both graphically, and from certain series expansions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 2 , April 1966 , pp. 277 - 286
Copyright
Copyright © Cambridge Philosophical Society 1966

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Miller, J. C. P. (Editor). Tables of Weber parabolic cylinder functions (H.M. Stationery Office, 1955).Google Scholar
(2)Messiah, A.Quantum mechanics, vol. i, Chapter III (North-Holland Publ. Co., 1961).Google Scholar
(3)Abramowitz, M. and Stegun, I. A. (Editors). Handbook of mathematical functions (National Bureau of Standards, U.S.A., 1964).Google Scholar