A LINEAR-MODEL OF INTERMEDIATE STATISTICS

Authors
DEVEIGY AD
Citation
Ad. Deveigy, A LINEAR-MODEL OF INTERMEDIATE STATISTICS, Journal of physics. A, mathematical and general, 30(8), 1997, pp. 2725-2734
Citations number
19
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
8
Year of publication
1997
Pages
2725 - 2734
Database
ISI
SICI code
0305-4470(1997)30:8<2725:ALOIS>2.0.ZU;2-W
Abstract
Approximate Hamiltonians for the one-dimensional, (1D) Calogero and tw o-dimensional (2D) anyon models in a harmonic well are constructed. Th ese Hamiltonians are exactly diagonalizable, and their spectra interpo late linearly between the Bose statistics and the Fermi statistics. In particular, in 2D, the thermodynamics is similar to that of a system obeying a generalized exclusion principle and may be viewed as a start ing approximation for the thermodynamics of anyons.