paper

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

arXiv:quant-ph/9605028 · doi:10.1016/S0375-9601(97)00006-6

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.

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