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Bohr-Sommerfeld quantization of spin Hamiltonians

Anupam Garg·Michael Stone
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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, and respects Kramers degeneracy for time-reversal invariant systems. It is tested for various models, in particular the Lipkin-Meshkov-Glick model, and found to agree very well with exact results.

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Anupam Garg, Michael Stone. 2003-04-05. Bohr-Sommerfeld quantization of spin Hamiltonians. https://doi.org/10.1103/physrevlett.92.010401

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