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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
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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

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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