On the Path Integral Representation for Spin Systems
凝聚态物理
2009-10-30 v1
摘要
We propose a classical constrained Hamiltonian theory for the spin. After the Dirac treatment we show that due to the existence of second class constraints the Dirac brackets of the proposed theory represent the commutation relations for the spin. We show that the corresponding partition function, obtained via the Fadeev-Senjanovic procedure, coincides with the one obtained using coherent states. We also evaluate this partition function for the case of a single spin in a magnetic field.
引用
@article{arxiv.cond-mat/9701103,
title = {On the Path Integral Representation for Spin Systems},
author = {D. Cabra and A. Dobry and A. Greco and G. Rossini},
journal= {arXiv preprint arXiv:cond-mat/9701103},
year = {2009}
}
备注
To be published in J.Phys. A: Math. and Gen. Latex file, 12 pages