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On the solution of an equation occurring in quantum mechanics

Published online by Cambridge University Press:  24 October 2008

M. Anthea Grubb
M. Anthea Grubb
Affiliation:
University of Hull
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Extract

The following equation arose in a study of the evolution of a one-dimensional quantum system:

where α and κ are positive constants, and

It will be shown that this system provides an example of exactly exponential decay. This is of interest in view of recent papers discussing the validity of the exponential decay law (see, for example, Khalfin (1)and Martin (2)).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 2 , April 1965 , pp. 535 - 536
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

REFERENCES

(1)Khalfin, L. A.Soviet Physics JETP, 6 (1958), 1053–1063.Google Scholar
(2)Martin, J. L.Proc. Cambridge Philos. Soc. 60 (1964), 587–593.CrossRefGoogle Scholar