Spectral densities and partition functions of modular quantum systems as derived from a central limit theorem

Details Spectral densities and partition functions of modular quantum systems as derived from a central limit theorem Spectral densities and partition functions of modular quantum systems as derived from a central limit theorem

2004-06-04

arxiv.org/abs/cond-mat/0406100v2

J. Stat. Phys. 119, p. 1139-1151 (2005)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 figures, some steps added to derivation, accepted for publication in J. Stat. Phys

Scientific paper

10.1007/s10955-004-4298-5

Using a central limit theorem for arrays of interacting quantum systems, we
give analytical expressions for the density of states and the partition
function at finite temperature of such a system, which are valid in the limit
of infinite number of subsystems. Even for only small numbers of subsystems we
find good accordance with some known, exact results.

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