IDENTICAL PARTICLES AND PERMUTATION GROUP

Abstract

Second quantization is revisited and creation and annihilation operators are shown to be related, on the same footing both to the algebra $h(1)$, $\underline{and}$ to the superalgebra $osp(1|2)$ 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 $osp(1|2)$, differ in the many-particle case. The possibility of a unorthodox quantum field theory is suggested.

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

Cited by in corpus (5)

• Lie bialgebra quantizations of the oscillator algebra and their universal $R$--matrices
• Wigner Oscillators, Twisted Hopf Algebras and Second Quantization
• Many-Body Diffusion and Path Integrals for Identical Particles
• A Jordanian quantum two-photon/Schrodinger algebra
• Phase state and related nonlinear coherents states