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

摘要

The wave function psi(1, 2, 3,..., N) of a gas of identical two-dimensional exotic particles of spin 1/M (mod 1), M = 2, 3,... is constructed. It is shown that psi(1, 2, 3,..., 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. (C) 1997 Published by Elsevier Science B.V.