The use of the Airy functions in a potential barrier problem-Reference-Cited by-同舟云学术

The use of the Airy functions in a potential barrier problem

Published:1956-04 Issue:2 Volume:52 Page:273-279
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Jeffreys Bertha

Abstract

ABSTRACTThe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to the Stokes phenomenon

2. On the use of asymptotic approximations of Green's type when the coefficient has zeros

3. Note on the transparency of a potential barrier

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