Wigner distribution for a class of isospectral position-dependent mass systems

Abstract

In this paper, we show how to construct a general class of non-relativistic quantum systems with position-dependent masses, which are isospectral to a given system with constant mass. Then, we use this approach in order to construct the Wigner functions in three examples which are isospectral to the harmonic oscillator. Finally, we discuss possible general behavior of these systems.