Shape Invariance in Supersymmetric Quantum Mechanics and its Application to Selected Special Functions of Modern Physics

Chad Husko, Brenton Knuffman, Asim Gangopadhyaya, Jeffrey Mallow

Research output: Contribution to journalArticlepeer-review

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.

Original languageAmerican English
JournalPhysics: Faculty Publications and Other Works
StatePublished - Feb 1 2005

Keywords

  • supersymmetry
  • quantum physics

Disciplines

  • Physics
  • Quantum Physics

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