Quantum-statistics-induced flow patterns in driven ideal Fermi gases

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

Thermodynamic equivalence of certain ideal Bose and Fermi gases

It has been established recently that there is an interesting thermodynamic ‘‘equivalence’’ between noninteracting Bose and spinless Fermi gases in two dimensions, and between onedimensional Bose and Fermi systems with linear dispersion, both in the grand-canonical ensemble. These are known to be special cases of a larger class of equivalences of noninteracting systems having an energy-independ...

Suppression of molecular decay in ultracold gases without Fermi statistics.

We study inelastic processes for ultracold three-body systems in which only one interaction is resonant. We show that at ultracold temperatures three-body recombination in such systems leads mainly to the formation of weakly bound molecules. In addition, and perhaps more importantly, we have found that the decay rates for weakly bound molecules due to collisions with other atoms can be suppress...