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On the Gibbs states for one-dimensional lattice boson systems with a long-range interaction

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Publication:1279217
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DOI10.1007/BF01053604zbMath0935.82504MaRDI QIDQ1279217

Yu. M. Sukhov, Enzo Olivieri, Pierre Picco

Publication date: 22 May 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)


zbMATH Keywords

Gibbs statesquantum systems


Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Quantum equilibrium statistical mechanics (general) (82B10)


Related Items (2)

EUCLIDEAN GIBBS STATES OF QUANTUM LATTICE SYSTEMS ⋮ Uniqueness and clustering properties of Gibbs states for classical and quantum unbounded spin systems.



Cites Work

  • Unnamed Item
  • Unnamed Item
  • The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
  • Bounds on exponentials of local number operators in quantum statistical mechanics
  • Analyticity for one-dimensional systems with long-range superstable interactions
  • Quantum statistical mechanics for superstable interactions: Bose-Einstein statistics
  • Random point processes and DLR equations
  • Superstable interactions in classical statistical mechanics


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