Crystallization of a “Boltzmann” System of Quantum Hard Spheres

Abstract

The crystallization of a quantum system of hard spheres has been considered for the case where the effects of Bose and Fermi statistics can be neglected. It has been found that the quantum crystal–liquid equilibrium line almost completely coincides with the classical line except for the range of very low temperatures. Because of this nontrivial conclusion, the efficiency of quantum fluctuations at the melting of matter is questionable.