Position probability density function for a system of mutually exclusive particles in one dimension

Abstract

Position probability distribution of a set of massive mutually exclusive particles in one dimension has been defined. Examples with a given two mutually exclusive particles system are considered. It is emphasized that quantum particles at finite potentials can not be regarded as a mutually exclusive system or they are indistinguishable. Afterward, it is attempted to ascribe a mutually exclusive system to continuous mass densities of a rigid body to calculate average values. We do this by applying correspondence principle with regard to probability densities.