Generalized quantal distribution functions within factorization approach: Some general results for bosons and fermions

TL;DR

This paper explores generalized quantal distribution functions for non-interacting bosons and fermions, deriving formulas for particle number and energy, with applications to white dwarf stars and Bose-Einstein condensation.

Contribution

It introduces generalized distribution functions and provides formulas applicable to astrophysical and condensed matter systems, extending previous models.

Findings

Formulas for particle number and energy derived

Applications to white dwarf stars analyzed

Insights into Bose-Einstein condensation provided

Abstract

The generalized quantal distribution functions are investigated concerning systems of non-interacting bosons and fermions. The formulae for the number of particles and energy are presented and applications to the Chandrasekhar limit of white dwarfs stars and to the Bose-Einstein condensation are commented.