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arxiv: 1112.5829 · v1 · pith:7TSFIMA2new · submitted 2011-12-26 · 🧮 math-ph · cond-mat.stat-mech· math.MP· quant-ph

Expressions of the Green function in terms of reflection coefficients

classification 🧮 math-ph cond-mat.stat-mechmath.MPquant-ph
keywords coefficientsexpressionsfunctiongreenreflectiontermsapproximationdefined
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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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