Partition function for general multi-level systems
S. Meljanac, M. Stojic, D. Svrtan

TL;DR
This paper introduces a unified method for calculating the partition functions of complex multi-level systems, including new results for parastatistical and anyonic-like systems using second quantization.
Contribution
It provides a novel, comprehensive approach to partition function calculation for diverse multi-level quantum systems, extending to parastatistics and anyonic-like particles.
Findings
Derived new formulas for parastatistical systems of any order
Extended the approach to systems with anyonic-like statistics
Unified framework applicable to various multi-level quantum systems
Abstract
We describe a unified approach to calculating the partition functions of a general multi-level system with a free Hamiltonian. Particularly, we present new results for parastatistical systems of any order in the second quantized approach. Anyonic- like systems are briefly discussed.
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