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.
- Partition sums
- Quantum central limit theorem
- Quantum statistical mechanics
- Spectral densities
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics