Spectral densities and partition functions of modular quantum systems as derived from a central limit theorem
arXiv:cond-mat/0406100 · doi:10.1007/s10955-004-4298-5
Abstract
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.
6 pages, 4 figures, some steps added to derivation, accepted for publication in J. Stat. Phys