English

Expressions of the Green function in terms of reflection coefficients

Mathematical Physics 2011-12-30 v1 Statistical Mechanics math.MP Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.1112.5829,
  title  = {Expressions of the Green function in terms of reflection coefficients},
  author = {Toru Miyazawa},
  journal= {arXiv preprint arXiv:1112.5829},
  year   = {2011}
}