C_{\lambda}-extended oscillator algebra and parasupersymmetric quantum mechanics
量子代数
2007-05-23 v1
摘要
The C_{\lambda}-extended oscillator algebra is generated by {1,a,a^{\dagger},N,T}, where T is the generator of the cyclic group C_{\lambda} of order \lambda. It can be realized as a generalized deformed oscillator algebra (GDOA). Its unirreps can thus be exhibited using the representation theory of GDOAs and their carrier space show a Z_{\lambda} grading structure. Within its infinite-dimensional Fock space representation, this algebra provides a bosonization of parasupersymmetric quantum mechanics of order p= \lambda - 1.
引用
@article{arxiv.math/9808092,
title = {C_{\lambda}-extended oscillator algebra and parasupersymmetric quantum mechanics},
author = {C. Quesne and N. Vansteenkiste},
journal= {arXiv preprint arXiv:math/9808092},
year = {2007}
}
备注
7 pages, LaTeX, no figures, submitted to 7th Int. Coll. ``Quantum Groups and Integrable Systems'', Prague, 18-20 June 1998 (to be published in Czech. J. Phys.)