Bohr-Sommerfeld Quantization of Spin Hamiltonians
Abstract
The Bohr-Sommerfeld rule for a spin system is obtained, including the first quantum corrections. The rule applies to both integer and half-integer spin. It is tested for various models, in particular, the Lipkin-Meshkov-Glick model, and found to agree very well with exact results.
- Publication:
-
Physical Review Letters
- Pub Date:
- January 2004
- DOI:
- 10.1103/PhysRevLett.92.010401
- arXiv:
- arXiv:cond-mat/0304125
- Bibcode:
- 2004PhRvL..92a0401G
- Keywords:
-
- 03.65.Sq;
- 02.30.Gp;
- 03.65.Db;
- 21.60.Ev;
- Semiclassical theories and applications;
- Special functions;
- Functional analytical methods;
- Collective models;
- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- Revtex 4, no figures, 1 table