Quantum statistics of ideal parafermi gases III: The Slater quasi-determinant

摘要

The wave function (psi) (1,2,...,N) of a gas of N identical two-dimensional exotic particles of spin 1/M (mod 1), M = 2,3,4,... is constructed. It is shown that (psi) (1,2,...,N) obeys a generalized Pauli exclusion principle according to which no more than (M - 1) identical particles of spin 1/M (mod 1) can live in the same quantum state. The Fermi nilpotency and the Bose condensation are recovered as special cases. Examples are given. (author). 9 refs. (Atomindex citation 27:046272)