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Phase-integral treatment of transmission through an inverted Morse potential

Published online by Cambridge University Press:  24 October 2008

Bengt Lundborg
Bengt Lundborg
Affiliation:
Institute of Theoretical Physics, University of Uppsala
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Abstract

The transmission of a quantal particle through a barrier obtained by inverting a Morse potential is studied by means of the ‘symmetric’ phase-integral approximations introduced by N. Fröman and further developed by N. Fröman and P. O. Fröman. The calculations are performed up to the fifth-order approximation. Approximate expressions for important quantities such as transmission and reflexion coefficients, phases of the wave function and also for quantities related to the phenomenon of resonances, which may occur when the wave function is given as a standing wave, are compared to the corresponding exact quantities, and this comparison shows the great accuracy of these phase-integral approximations.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 81 , Issue 3 , May 1977 , pp. 463 - 483
Copyright
Copyright © Cambridge Philosophical Society 1977

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References

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