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Recursive representation of Wronskians in confluent supersymmetric quantum mechanics

Alonso Contreras-Astorga, Axel Schulze-Halberg
2017 Journal of Physics A: Mathematical and Theoretical  

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2017 pre-print arXiv:1702.00843v1 fatcat:2k6xvmakjzh3voapwqtbw6z5de
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.
doi:10.1088/1751-8121/aa59b9 fatcat:bla45rsxy5bzxblk5w5moxe3ru
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Alonso Contreras-Astorga, Axel Schulze-Halberg. "Recursive representation of Wronskians in confluent supersymmetric quantum mechanics." Journal of Physics A: Mathematical and Theoretical 50.10 (2017) 105301