2000/12/13 by V. R. Vieira, P. D. Sacramento
Physics and Astronomy · #cond-mat.stat-mech
published as Mathematical Physics And Stochastic Analysis, Essays in Honour of Ludwig Streit, edited by S Albeverio et al, World Scientific, 2000
arxiv created 2000/12/13 · arxiv updated 2009/11/30
We consider a spin coherent states description of a general quantum spin system. It is shown that it is possible to use the spin-1/2 representation to study the general spin-J case. We identify the 1/2 spinor components as the homogeneous coordinates of the projective space associated to the complex variable that labels the coherent states and establish a relation between the two-component spinor and the bosonic Schwinger representation of a spin operator. We rewrite the equations of motion, obtained from the path integral for the evolution operator or partition function, in terms of the 1/2 spinor and define the effective Hamiltonian of its evolution.