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This paper investigates parafermions by demonstrating how specific interpolations between bosonic and fermionic partition functions yield ground state energies consistent with genuine parastatistics. The research contributes to the theoretical understanding of quantum statistics in systems with discrete energy spectra, offering new insights into the behavior of particles occupying single quantum states.
Parafermions in plain sight
arXiv:2609.00545v1 Announce Type: cross Abstract: We show that for any potential with a discrete energy spectrum, the well-known interpolation between ideal boson and fermion partition functions at discrete values of $\xi=-1/m$ yielded zero temperature ground state energies corresponding to $m$ fermions occupying a single quantum state. The grand canonical partition function in this case can be a result from genuine parastatistics.
Abstract:We show that for any potential with a discrete energy spectrum, the well-known interpolation between ideal boson and fermion partition functions at discrete values of $\xi=-1/m$ yielded zero temperature ground state energies corresponding to $m$ fermions occupying a single quantum state. The grand canonical partition function in this case can be a result from genuine parastatistics.
Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph)
arXiv:2609.00545 [cond-mat.stat-mech]
(or arXiv:2609.00545v1 [cond-mat.stat-mech] for this version)
https://doi.org/10.48550/arXiv.2609.00545 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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