Wigner function of the position-dependent effective Schrödinger equation
Zidong Chen, Gang Chen · Physica Scripta · 2006
In this paper, we calculate the Wigner distribution function to reveal the quantum–classical connection for the Schrödinger equation with position-dependent effective mass. On mapping this wave equation into an isospectral one with constant mass, the Wigner distribution function, which can be used to calculate matrix elements and expectation values of operators, can be obtained analytically for a given mass distribution and potential function.