Towards a quantum-mechanical model for multispecies exclusion statistics
Stefan Mashkevich (Kiev, Oslo)
TL;DR
This paper develops a quantum-mechanical framework for modeling multispecies exclusion statistics in one and two dimensions, aligning spectra with thermodynamic predictions from Haldane's formula.
Contribution
It introduces a method to construct many-particle spectra for multispecies exclusion statistics based on the generalized exclusion principle, bridging quantum spectra and thermodynamics.
Findings
Spectra derived match thermodynamic quantities from Haldane's formula.
Applicable in both one- and two-dimensional systems.
Provides a quantum-mechanical basis for multispecies exclusion statistics.
Abstract
It is shown how to construct many-particle quantum-mechanical spectra of particles obeying multispecies exclusion statistics, both in one and in two dimensions. These spectra are derived from the generalized exclusion principle and yield the same thermodynamic quantities as deduced from Haldane's multiplicity formula.
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