Articulo
On the Path Integral Representation for Spin Systems
Registro en:
issn:0305-4470
issn:1361-6447
Autor
Cabra, Daniel Carlos
Dobry, Ariel
Greco, Andrés
Rossini, Gerardo Luis
Institución
Resumen
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. Facultad de Ciencias Exactas