Abstract.
We use a generalized form of Dyson’s spin wave formalism to prove several central limit theorems for the large-spin asymptotics of quantum spins in a coherent state.
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T. Michoel is a Postdoctoral Fellow of the Fund for Scientific Research – Flanders (Belgium) (F.W.O.–Vlaanderen)
This material is based on work supported by the National Science Foundation under Grant No. DMS0303316.
This article may be reproduced in its entirety for non-commercial purposes.
Mathematics Subject Classification (2000): 60F05, 82B10, 82B24, 82D40
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Michoel, T., Nachtergaele, B. Central limit theorems for the large-spin asymptotics of quantum spins. Probab. Theory Relat. Fields 130, 493–517 (2004). https://doi.org/10.1007/s00440-004-0364-9
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DOI: https://doi.org/10.1007/s00440-004-0364-9
Keywords
- Quantum central limit theorem
- Heisenberg model
- Large-spin limit
- Bosonization