A Modified WKB Approximation for Phase Shifts
- 1 November 1964
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 5 (11) , 1505-1515
- https://doi.org/10.1063/1.1931183
Abstract
Extending an idea of Good, a modified WKB approximation using radial wavefunctions having the form of free-particle solutions to the radial wave equation rather than an exponential form is developed. The lowest-order phase shifts are the same as those of the usual WKB approximation, but are improved by the contribution of the next order. The method is applied to two examples: the radial Dirac equation in the high-energy limit and the radial Schrödinger equation.Keywords
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