The Jost function treated by the F-matrix phase integral method
- 1 February 1979
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 12 (2) , 171-186
- https://doi.org/10.1088/0305-4470/12/2/004
Abstract
Exact as well as approximate expressions for the Jost function of a radial barrier transmission problem are derived by the phase-integral method developed by Froman and Froman (1974). The resulting formulae are used for calculating the positions and the widths of the quasi-stationary states. To demonstrate the essential features as simply as possible, an s-state in a potential, regular at the origin, is considered, and only the first-order phase-integral formulae are given explicitly, but the generalisation to l not=0 and arbitrary-order phase-integral approximations is indicated.Keywords
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