Spinor Description of a General Spin-J System

V. R. Vieira; P. D. Sacramento

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arXiv · cond-mat/0012226

Spinor Description of a General Spin-J System

V. R. Vieira·P. D. Sacramento

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Abstract

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.

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V. R. Vieira, P. D. Sacramento. 2000-12-13. Spinor Description of a General Spin-J System. https://arxiv.org/abs/cond-mat/0012226

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