IDENTICAL PARTICLES AND PERMUTATION GROUP

Citation
E. Celeghini et al., IDENTICAL PARTICLES AND PERMUTATION GROUP, Journal of physics. A, mathematical and general, 28(8), 1995, pp. 239-244
Citations number
12
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
28
Issue
8
Year of publication
1995
Pages
239 - 244
Database
ISI
SICI code
0305-4470(1995)28:8<239:IPAPG>2.0.ZU;2-E
Abstract
Second quantization is studied. Creation and annihilation operators ar e shown to be related on the same basis to both the algebra h(1) and t o the superalgebra osp(1/2) which are shown to be compatible with both Bose and Fermi statistics. The two algebras are completely equivalent in the one-mode sector but, because of the grading of osp(1/2), diffe r in the many-particle case. The possibility of an unorthodox quantum field theory is suggested.