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Central limit theorems for the large-spin asymptotics of quantum spins
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  • Published: 25 May 2004

Central limit theorems for the large-spin asymptotics of quantum spins

  • Tom Michoel1 &
  • Bruno Nachtergaele2 

Probability Theory and Related Fields volume 130, pages 493–517 (2004)Cite this article

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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Author information

Authors and Affiliations

  1. Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200 D, B-3001, Leuven, Belgium

    Tom Michoel

  2. Department of Mathematics, University of California, One Shields Avenue, Davis, CA, 95616-8366, USA

    Bruno Nachtergaele

Authors
  1. Tom Michoel
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  2. Bruno Nachtergaele
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Corresponding author

Correspondence to Bruno Nachtergaele.

Additional information

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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  • Received: 06 November 2003

  • Revised: 15 March 2004

  • Published: 25 May 2004

  • Issue Date: December 2004

  • DOI: https://doi.org/10.1007/s00440-004-0364-9

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Keywords

  • Quantum central limit theorem
  • Heisenberg model
  • Large-spin limit
  • Bosonization
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