Investigations on finite ideal quantum gases
arXiv:cond-mat/9803151 · doi:10.1016/S0378-4371(98)00288-X
Abstract
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 condensation are discussed.
13 pages, 7 postscript figures, uses 'epsfig.sty'. Submitted to Physica A. More information available at http://obelix.physik.uni-osnabrueck.de/~schnack/
References in corpus (1)
Cited by in corpus (16)
- Molecular Dynamics for Fermions
- Quantum statistics and the performance of engine cycles
- Partition functions and symmetric polynomials
- Thermodynamic instability and first-order phase transition in an ideal Bose gas
- Thermodynamic fermion-boson symmetry in harmonic oscillator potentials
- Microcanonical fluctuations of the condensate in weakly interacting Bose gases
- Fluctuations of a weakly interacting Bose-Einstein condensate
- Partition Functions in Statistical Mechanics, Symmetric Functions, and Group Representations
- Spectral Equivalence of Bosons and Fermions in One-Dimensional Harmonic Potentials
- Lee-Yang theory of Bose-Einstein condensation
- Multilevel quantum Otto heat engines with identical particles
- Two characteristic temperatures for a Bose-Einstein condensate of a finite number of particles
- Exact ground state number fluctuations of trapped ideal and interacting fermions
- Thermodynamic Equivalence of Certain Ideal Bose and Fermi Gases
- A solvable model of a one-dimensional quantum gas with pair interaction
- Nucleons as modified Ising models