A Note on the Statistics of Hardcore Fermions

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.