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

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

1996-05-20

arxiv.org/abs/quant-ph/9605028v1

Phys.Lett. A226 (1997) 327-331

Physics

Quantum Physics

10 pages in REVTeX

Scientific paper

10.1016/S0375-9601(97)00006-6

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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