Identical Particles and Permutation Group
High Energy Physics - Theory
2010-11-01 v1
Abstract
Second quantization is revisited and creation and annihilation operators areshown to be related, on the same footing both to the algebra h(1), and to the superalgebra osp(1|2) that are shown to be both compatible with Bose and Fermi statistics. The two algebras are completely equivalent in the one-mode sector but, because of grading of osp(1|2), differ in the many-particle case. The same scheme is straightforwardly extended to the quantum case h_q(1) and osp_q(1|2).
Cite
@article{arxiv.hep-th/9405139,
title = {Identical Particles and Permutation Group},
author = {E. Celeghini and M. Rasetti and G. Vitiello},
journal= {arXiv preprint arXiv:hep-th/9405139},
year = {2010}
}
Comments
8 pages, standard TEX, DFF 205/5/94 Firenze