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The use of the Airy functions in a potential barrier problem

Published online by Cambridge University Press:  24 October 2008

Bertha Jeffreys
Bertha Jeffreys
Affiliation:
Girton CollegeCambridge
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Abstract

The exact solution for a trapezoidal potential barrier is given in terms of Airy functions and trigonometrical functions. Numerical values are found for the ratio of the amplitudes of the transmitted and reflected waves. These are compared with those given by the WKBJ approximation.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 52 , Issue 2 , April 1956 , pp. 273 - 279
Copyright
Copyright © Cambridge Philosophical Society 1956

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References

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