One-dimensional inverse power reflectionless potentials

Sergei P. Maydanyuk

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One-dimensional inverse power reflectionless potentials

Sergei P. Maydanyuk

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Abstract

A condition, at which the one-dimensional inverse power potential becomes reflectionless during propagation through it of a plane wave, is obtained on the basis of SUSY QM methods. A scattering of a particle on spherically symmetric inverse power potential is analysed with taking into account of the reflectionless possibility.

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Sergei P. Maydanyuk. 2004-12-20. One-dimensional inverse power reflectionless potentials. https://arxiv.org/abs/quant-ph/0404021

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