Quantum statistics of ideal parafermi gases: The Slater quasi-determinant

Eigenvalue Statistics in Quantum Ideal Gases

The eigenvalue statistics of quantum ideal gases with single particle energies en = n α are studied. A recursion relation for the partition function allows to calculate the mean density of states from the asymptotic expansion for the single particle density. For integer α > 1 one expects and finds number theoretic degeneracies and deviations from the Poissonian spacing distribution. By semiclas...

Ideal Quantum Gases

The indistinguishability of identical particles has profound effects at low temperatures and/or high density where quantum mechanical wave packets overlap appreciably. The occupation representation is used to study the statistical mechanics and thermodynamics of ideal quantum gases satisfying FermiDirac or Bose-Einstein statistics. This notebook concentrates on formal and conceptual development...

Quantum Gases - Collisions and Statistics

A Scaling Approach to Ideal Quantum Gases

In this article we present a derivation of the thermal equations of state of ideal quantum gases by using solely dimensional analysis, thermodynamic considerations and simple physical arguments. The thermodynamic relations of gases depend strongly on the energymomentum relation of the gas particles and on their spin, i.e., whether the particles are fermions or bosons. The energy-momentum relati...

Investigations on finite ideal quantum gases

Recursion formulae of the N-particle partition function, the occupation numbers and its fluctuations are given using the single-particle partition function. Exact results are presented for fermions and bosons in a common one-dimensional harmonic oscillator potential, for the three-dimensional harmonic oscillator approximations are tested. Applications to excited nuclei and Bose-Einstein condens...