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.
Original language | English |
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Pages (from-to) | 1139-1151 |
Number of pages | 13 |
Journal | Journal of Statistical Physics |
Volume | 119 |
Issue number | 5-6 |
DOIs | |
Publication status | Published - Jun 2005 |
Keywords
- Partition sums
- Quantum central limit theorem
- Quantum statistical mechanics
- Spectral densities
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics