Fluctuations in the level density of a Fermi gas

Abstract

We present a theory that accurately describes the counting of excited states of a noninteracting fermionic gas. At high excitation energies the results reproduce Bethe's theory. At low energies oscillatory corrections to the many--body density of states, related to shell effects, are obtained. The fluctuations depend non-trivially on energy and particle number. Universality and connections with Poisson statistics and random matrix theory are established for regular and chaotic single--particle motion.

arXiv comment4 pages, 1 figure

References in corpus (4)

• Orbital Magnetism in the Ballistic Regime: Geometrical Effects
• Nuclear level statistics: extending the shell model theory to higher temperatures
• Thermodynamics of small Fermi systems: quantum statistical fluctuations
• Regularity and chaos in the nuclear masses

Cited by in corpus (7)

• Level Density of a Bose Gas and Extreme Value Statistics
• Semiclassical roots of universality in many-body quantum chaos
• Long-range level correlations in quantum systems with finite Hilbert space dimension
• Level density of a Fermi gas: average growth and fluctuations
• A geometrical approach to the mean density of states in many-body quantum systems
• Many-body density of states of bosonic and fermionic gases: a combinatorial approach
• Ensemble-averaged mean-field many-body level density: an indicator of integrable versus chaotic single-particle dynamics