A Note on the Statistics of Hardcore Fermions
T.D. Palev
TL;DR
This paper demonstrates that hardcore fermions follow A-superstatistics of order one, formulates their Pauli principle, and expresses Hubbard operators in terms of their creation and annihilation operators.
Contribution
It establishes the connection between hardcore fermions and A-superstatistics, providing a mathematical framework and expressing Hubbard operators via these fermionic operators.
Findings
Hardcore fermions are shown to follow A-superstatistics of order one.
The Pauli principle for hardcore fermions is formulated.
Hubbard operators are expressed through hardcore fermion creation and annihilation operators.
Abstract
It is shown that the statistics of the hardcore fermions is A-superstatistics of order one [see T.D.P. J. Math. Phys. 21, 1293 (1980)]. The Pauli principle for these particles is formulated. The Hubbard operators, which constitute a basis in the Lie superalgebra gl(1|n), are expressed via the creation and the annihilation operators of the hardcore fermions.
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Taxonomy
TopicsRandom Matrices and Applications · Stochastic processes and statistical mechanics · Statistical Mechanics and Entropy