Expressions of the Green function in terms of reflection coefficients

Details Expressions of the Green function in terms of reflection coefficients Expressions of the Green function in terms of reflection coefficients

2011-12-26

arxiv.org/abs/1112.5829v1

J. Phys. A: Math. Gen. 39 (2006) 10871-10890

Physics

Mathematical Physics

Scientific paper

10.1088/0315-4470/39/34/018

We study the one-dimensional Schr\"odinger equation and derive exact
expressions for the Green function in terms of reflection coefficients which
are defined for semi-infinite intervals. We also discuss the relation between
our results and the WKB approximation.

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