IDENTICAL PARTICLES AND PERMUTATION GROUP

Details IDENTICAL PARTICLES AND PERMUTATION GROUP IDENTICAL PARTICLES AND PERMUTATION GROUP

1995-03-27

arxiv.org/abs/hep-th/9503183v1

J.Phys.A28:L239-L244,1995

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, tex, J. of Phys. A:Math. and General, in print

Scientific paper

10.1088/0305-4470/28/8/003

Second quantization is revisited and creation and annihilation operators are shown to be related, on the same footing both to the algebra ${\it h}(1)$, ${\underline {and}}$ to the superalgebra ${\it osp}(1|2)$ that are shown to be both compatible with Bose ${\underline {and}}$ Fermi statistics. The two algebras are completely equivalent in the one-mode sector but, because of grading of ${\it osp}(1|2)$, differ in the many-particle case. The possibility of a unorthodox quantum field theory is suggested.

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