Semiclassical approximation to the propagator of the Wigner function for particles in confined spaces

Abstract

Abstract: This work constructs the exact Wigner propagator for particles confined by one or two infinitely high potential walls. It takes advantage of the limit of polynomial potentials so as to obtain the semiclassical approximation for smooth potentials close to the box with two walls

Resumen: En este trabajo construimos el propagador de Wigner exacto para partículas confinadas por uno o dos muros de potencial infinitamente altos. Aprovechamos el límite de potenciales polinómicos para obtener la aproximación semiclásica para potenciales suaves cercanos a la caja con dos paredes