Supersymmetric Quantum Mechanics and Solvable Feynman Path Integrals

Abstract

Using the methods of supersymmetric quantum mechanics, we derive superpartners of some solvable non-relativistic potentials in one dimension. We pay our special attention to the shape-invariance of the superpotentials. We also demonstrate the supersymmetric relationships between some class of solvable path integrals and the WKB-exact path in­ tegrals. We give a formalism to find new solvable path integrals from some other known supersymmetric partners on the basis of supersymmetric quantum mechanics.