Identical Particles and Permutation Group

Details Identical Particles and Permutation Group Identical Particles and Permutation Group

1994-05-21

arxiv.org/abs/hep-th/9405139v1

J.Phys.A28:L239-L244,1995

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, standard TEX, DFF 205/5/94 Firenze

Scientific paper

10.1088/0305-4470/28/8/003

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).

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