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Article
Shape Invariance in Supersymmetric Quantum Mechanics and its Application to Selected Special Functions of Modern Physics
Journal of Young Investigators
  • Chad Husko, Loyola University Chicago
  • Brenton Knuffman, University of Chicago
  • Asim Gangopadhyaya, Loyola University Chicago
  • Jeffrey Mallow, Loyola University Chicago
Document Type
Article
Publication Date
2-1-2005
Disciplines
Abstract

We applied the methods of supersymmetric quantum mechanics to differential equations that generate well-known special functions of modern physics. This application provides new insight into these functions and generates recursion relations among them. Some of these recursion relations are apparently new (or forgotten), as they are not available in commonly used texts and handbooks. This method can be easily extended to explore other special functions of modern physics.

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Author Posting © The Authors, 2005. This article is posted here by permission of the Journal of Young Investigators for personal use, not for redistribution. The article was published in the Journal of Young Investigators, 2005. http://www.jyi.org/issue/shape-invariance-in-supersymmetric-quantum-mechanics-and-its-application-to-selected-special-functions-of-modern-physics/

Creative Commons License
Creative Commons Attribution-Noncommercial-No Derivative Works 3.0
Citation Information
Husko, C and B Knuffman. "Shape invariance in supersymmetric quantum mechanics and its application to selected special functions of modern physics" in Journal of Young Investigators, 2005.