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Phys. Rev. Lett. 92, 010401 (2004) [4 pages]

Bohr-Sommerfeld Quantization of Spin Hamiltonians

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Anupam Garg *
Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA

Michael Stone
Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA

Received 4 April 2003; published 8 January 2004

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.


©2004 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.92.010401
DOI: 10.1103/PhysRevLett.92.010401
PACS: 03.65.Sq, 02.30.Gp, 03.65.Db, 21.60.Ev

* Email address: agarg@northwestern.edu

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