1997/01/15 by D. Cabra, D. C. Cabra, A. Dobry +4 · 1 citation
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #Quantum many-body systems #cond-mat
paper · pdf · doi:10.1088/0305-4470/30/8/016
To be published in J.Phys. A: Math. and Gen. Latex file, 12 pages
arxiv created 1997/01/15 · openalex publication_date 1997/04/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
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.