Probability Theory and Related Fields

, Volume 130, Issue 4, pp 493–517 | Cite as

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

  • Tom Michoel
  • Bruno Nachtergaele


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.


Quantum central limit theorem Heisenberg model Large-spin limit Bosonization 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Instituut voor Theoretische FysicaKatholieke Universiteit LeuvenLeuvenBelgium
  2. 2.Department of MathematicsUniversity of CaliforniaDavisUSA

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