Daniel C Cabra et al 1997 J. Phys. A: Math. Gen. 30 2699 doi:10.1088/0305-4470/30/8/016
On the path integral representation for spin systems
Daniel C Cabra
, Ariel Dobry
, Andrés Greco and Gerardo L Rossini
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 that obtained using coherent states. We also evaluate this partition function for the case of a single spin in a magnetic field.
- PACS
- MSC
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70H45 Constrained dynamics, Dirac's theory of constraints (See also 70F20, 70F25, 70Gxx)
81S05 Commutation relations and statistics
81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)
- Subjects
- Dates
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Issue 8 (21 April 1997)
Received 26 September 1996, in final form 10 December 1996
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On the path integral representation for spin systems
Daniel C Cabra et al 1997 J. Phys. A: Math. Gen. 30 2699
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