Development of the theory of momentum distribution of particles with regard to quantum phenomena

Abstract

A generalization of the theory of quantum asymptotics for the particle distribution function for large values of momentum is given that takes into account the energy exchange between a particle and an impurity. It is shown that, compared with the known power-law asymptotics, an additional exponential dependence on the kinetic energy arises with effective temperature higher than the temperature of the medium by a factor of the ratio of the impurity mass to the particle mass for a quantum correction to the Maxwell distribution function. New formulas are obtained for the rates of thermonuclear and threshold chemical reactions, that allow one to get rid of the inconsistencies of the previous theory when comparing with experiment.