On the Quantum Statistical Distributions
Describing Finite Fermions and
Bosons Systems
A century old methodology for
deriving statistical distribution using approximate Stirling’s
formulation of the factorial becomes questionable. By avoiding the use
of exaggerated approximations, a new picture of the energy distribution
of fermions and bosons are presented. Energy distribution among fermions
(or bosons) in systems with finite degeneracy are found to be
degeneracy dependent. The presented point of view explains,
successfully, presence of degeneracy pressure in ultra-cooled Fermi gas
and predicts the minimum accessible temperature for finite degeneracy
fermions system
..
