A Lie superalgebraic interpretation of the para-Bose statistics
- 1 April 1980
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 21 (4) , 797-799
- https://doi.org/10.1063/1.524502
Abstract
We show that n pairs of para‐Bose operators generate the classical simple orthosymplectic Lie superalgebra osp(1,2n) ≡B (0,n). The creation and annihilation operators are negative and positive root vectors, respectively, and they span a basis in the odd part of B (o,n).Keywords
This publication has 6 references indexed in Scilit:
- Lie superalgebrasAdvances in Mathematics, 1977
- Parastatistics and the quark modelJournal of Mathematical Physics, 1973
- Irreducible representations of a parafield and the connection of the parafield with usual fieldsInternational Journal of Theoretical Physics, 1973
- Representations of parafermi ringsNuclear Physics, 1963
- A generalization of field quantization and statisticsNuclear Physics, 1962
- A Generalized Method of Field QuantizationPhysical Review B, 1953