Shape Invariance in Supersymmetric Quantum Mechanics and its Application to Selected Special Functions of Modern Physics
Journal of Young Investigators
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.
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.
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© The Authors, 2005.
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/