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arXiv · hep-th/9405139

Identical Particles and Permutation Group

E. Celeghini·M. Rasetti·G. Vitiello
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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).

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E. Celeghini, M. Rasetti, G. Vitiello. 1994-05-21. Identical Particles and Permutation Group. https://doi.org/10.1088/0305-4470%2F28%2F8%2F003

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