Year: 2001
Type: preprint
Abstract: We review the principal steps leading to drive the wave function $ψ_{\{k_1,k_2,...,k_N \}}(1,2,...,N)$ of a gaz of $N$ identical particle states with exotic statistics. For spins $s=1/M$ $mod(1)$, we show that the quasideterminant conjectured in [19], by using $2d$ conformal field theoretical methods, is indeed related to the quantum determinant of noncommutative geometry. The q-number $[N]!=\prod_{n=1}^N(\sum_{j=0}^{N-1} q^j)$ carrying the effect of the generalized Pauli exclusion principle, according to which no more than $(M-1)$ identical particles of spin $s=1/M$ $mod(1)$ can live altogether on the same quantum state, is rederived in rigourous from the q-antisymmetry. Other features are also given.
Source: arXiv (Cornell University)
Authors: Rachidi, M., Saidi, E. H., Zerouaoui, J.
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1670318970