On the Path Integral Representation for Spin Systems

Details On the Path Integral Representation for Spin Systems On the Path Integral Representation for Spin Systems

1997-01-15

arxiv.org/abs/cond-mat/9701103v1

Physics

Condensed Matter

To be published in J.Phys. A: Math. and Gen. Latex file, 12 pages

Scientific paper

10.1088/0305-4470/30/8/016

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.

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