IDENTICAL PARTICLES AND PERMUTATION GROUP

E. Celeghini; M. Rasetti; G. Vitiello

doi:10.1088/0305-4470/28/8/003

IDENTICAL PARTICLES AND PERMUTATION GROUP

High Energy Physics - Theory 2010-11-01 v1

Authors: E. Celeghini , M. Rasetti , G. Vitiello

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Abstract

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.

Keywords

quantum algebra operator theory and quantum mechanics quantum field theory

Cite

@article{arxiv.hep-th/9503183,
  title  = {IDENTICAL PARTICLES AND PERMUTATION GROUP},
  author = {E. Celeghini and M. Rasetti and G. Vitiello},
  journal= {arXiv preprint arXiv:hep-th/9503183},
  year   = {2010}
}

Comments

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

IDENTICAL PARTICLES AND PERMUTATION GROUP

Abstract

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