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Recursive Representation of Wronskians in Confluent Supersymmetric Quantum Mechanics

Published 2 Feb 2017 in math-ph, math.MP, and quant-ph | (1702.00843v1)

Abstract: A recursive form of arbitrary-order Wronskian associated with transformation functions in the confluent algorithm of supersymmetric quantum mechanics (SUSY) is constructed. With this recursive form regularity conditions for the generated potentials can be analyzed. Moreover, as byproducts we obtain new representations of solutions to Schr\"odinger equations that underwent a confluent SUSY-transformation.

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