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The quantum mechanics of a bounded linear harmonic oscillator

Published online by Cambridge University Press:  24 October 2008

F. C. Auluck
F. C. Auluck
Affiliation:
University of DelhiIndia
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Extract

1. The present paper deals with an enclosed (linear) harmonic oscillator. The usual boundary condition that the wave function vanishes at infinity is here replaced by the condition that the wave function vanishes at the walls of the enclosure. The problem has been treated before (1, 2, 4). However, the present discussion goes much further than that given in the papers cited*.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 41 , Issue 2 , June 1945 , pp. 175 - 179
Copyright
Copyright © Cambridge Philosophical Society 1945

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References

REFERENCES

(1)Auluck, F. C.Proc. Nat. Inst. Sci. India, 7 (1941), 133, 383;Google Scholar
Auluck, F. C.Proc. Nat. Inst. Sci. India, 8 (1942), 147.Google Scholar
Kothari, D. S. and Auluck, F. C.Science and Culture, 6 (1940), 370.Google Scholar
(2)Chandrasekhar, S.Astrophys. J. 97 (1943), 268.Google Scholar
(3)Erdélyi, A.Math. Ann. 113 (1936), 357.CrossRefGoogle Scholar
(4)Sommerfeld, A. and Welker, H.Ann. Phys., Lpz., 32 (1938), 56.CrossRefGoogle Scholar
Sommerfeld, A. and Hartmann, H.Ann. Phys., Lpz., 37 (1940), 333.CrossRefGoogle Scholar
(5)Whittaker, F. T. and Watson, G. N.Modern analysis (Cambridge, 1927), p. 348.Google Scholar