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Wronskian differential formula for confluent supersymmetric quantum mechanics

2011/09/30 by David Bermudez, David J. Fernandez C., Nicolas Fernandez-Garcia · 1 citation
Physics and Astronomy · Mathematics · #quant-ph #math-ph #math.MP #nucl-th

paper · pdf · doi:10.1016/j.physleta.2011.12.020

published as Phys. Lett. A 376 (2012) 692-696 · 11 pages, 4 figures

arxiv created 2011/12/14 · arxiv updated 2012/07/30

Abstract

A Wronskian differential formula, useful for applying the confluent second-order SUSY transformations to arbitrary potentials, will be obtained. This expression involves a parametric derivative with respect to the factorization energy which, in many cases, is simpler for calculations than the previously found integral equation. This alternative mechanism shall be applied to the free particle and the single-gap Lame potential.

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