Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-24T16:37:48.461Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

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)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