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

Authors:  Chad Husko and Brenton Knuffman
Institution:  Loyola University Chicago
Date:  February 2005


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.