Quasiboson representations of sl(n+1) and generalized quantum statistics
Palev, T. D. ; Van der Jeugt, J.
arXiv, 0009108 / Harvested from arXiv
Text on arXiv
Generalized quantum statistics will be presented in the context of representation theory of Lie (super)algebras. This approach provides a natural mathematical framework, as is illustrated by the relation between para-Bose and para-Fermi operators and Lie (super)algebras of type B. Inspired by this relation, A-statistics is introduced, arising from representation theory of the Lie algebra A_n. The Fock representations for A_n=sl(n+1) provide microscopic descriptions of particular kinds of exclusion statistics, which may be called quasi-Bose statistics. It is indicated that A-statistics appears to be the natural statistics for certain lattice models in condensed matter physics.
Publié le : 2000-09-14
Classification:  High Energy Physics - Theory,  Condensed Matter,  Mathematical Physics,  Mathematics - Quantum Algebra,  Nuclear Theory,  Quantum Physics 
@article{0009108,
     author = {Palev, T. D. and Van der Jeugt, J.},
     title = {Quasiboson representations of sl(n+1) and generalized quantum statistics},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0009108}
}

Palev, T. D.; Van der Jeugt, J. Quasiboson representations of sl(n+1) and generalized quantum statistics. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0009108/