Fluctuations in the level density of a Fermi gas

Details Fluctuations in the level density of a Fermi gas Fluctuations in the level density of a Fermi gas

2004-11-17

arxiv.org/abs/nucl-th/0411068v1

Phys.Rev.Lett. 94 (2005) 102502

Physics

Nuclear Physics

Nuclear Theory

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.94.102502

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.

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