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Perturbative Scattering Phase Shifts in One-Dimension: Closed-form Results

Quantum Physics 2009-10-30 v1

Abstract

A simple closed form expression is obtained for the scattering phase shift perturbatively to any given order in effective one-dimensional problems. The result is a hierarchical scheme, expressible in quadratures, requiring only knowledge of the zeroth order solution and the perturbation potential.

Keywords

Cite

@article{arxiv.quant-ph/9605028,
  title  = {Perturbative Scattering Phase Shifts in One-Dimension: Closed-form Results},
  author = {C. K. Au and Chi-Keung Chow and Chong-Sun Chu},
  journal= {arXiv preprint arXiv:quant-ph/9605028},
  year   = {2009}
}

Comments

10 pages in REVTeX

R2 v1 2026-07-22T20:01:11.172Z