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Expressions of the Green function in terms of reflection coefficients

Toru Miyazawa 2006 J. Phys. A: Math. Gen. 39 10871-10890   doi: 10.1088/0305-4470/39/34/018  Help

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Toru Miyazawa
Department of Physics, Gakushuin University, Tokyo 171-8588, Japan
E-mail: toru.miyazawa@gakushuin.ac.jp

Abstract. We study the one-dimensional Schrödinger 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.

PACS numbers: 03.65.Nk, 02.30.Hq, 02.50.Ey

Print publication: Issue 34 (25 August 2006)
Received 9 June 2006
Published 9 August 2006

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