Something about spin-fermion connection
Abstract
Description
Jordan-Wigner-type transformations connecting the spin-3/2 operators and two kinds of fermions are derived. A general condition of fermionizability of spins is obtained and a theorem establishing connection between half integer spins and fermions is proved. The fallibility of a previous attempt to generalize the Jordan-Wigner transformation for all spins (C.D. Batista and G. Ortiz, Phys. Rev. Lett. 86, 1082 (2001)) is pointed out.
12 pages, LaTeX 2.09. See also J. Phys. A: Math. Gen. 36 (2003) L503-L508 (FREE for downloading). Except these comments, nothing has been changed here. Excuse me for a number of mispellings encountered here
12 pages, LaTeX 2.09. See also J. Phys. A: Math. Gen. 36 (2003) L503-L508 (FREE for downloading). Except these comments, nothing has been changed here. Excuse me for a number of mispellings encountered here