New Quantum Statistics and the Theory of Bose–Einstein Condensation

Abstract

A new form of Quantum Statistics is deduced from a general model of interactions between particles based on Probability Theory and by the minimization of energy of quantum states. As a result of the theory a new definition of entropy is obtained, together with a generalization of the Pauli’s exclusion principle valid for fermions and bosons. The new statistics obtained for these two kinds of matter, is expressed as function of the number of occupied quantum states ω(e) at energy level e, and it is an alternative and complementary form of the classical statistics of Bose–Einstein and Fermi–Dirac. New informations are deduced about the “condensation” of matter into single states of quantum coherence and a unified description of BEC phenomena is drawn for bosons and fermions.