Ground state Euclidean measures for quantum lattice systems on compact manifolds.

DOI10.1016/S0034-4877(00)80008-7zbMath1067.82501OpenAlexW2049062810MaRDI QIDQ1580734

G. V. Shchepan'uk, Robert Adol'fovich Minlos, Yuri G. Kondratiev, Sergio A. Albeverio

Publication date: 2000

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(00)80008-7

zbMATH Keywords

Uniqueness ProblemCluster ExpansionsGround State Euclidean MeasuresQuantum Lattice Systems

Mathematics Subject Classification ID

Brownian motion (60J65) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (4)

PHASE TRANSITIONS AND QUANTUM EFFECTS IN ANHARMONIC CRYSTALS ⋮ Sergio's work in statistical mechanics: from quantum particles to geometric stochastic analysis ⋮ A consistent measure for lattice Yang–Mills ⋮ Uniqueness of Gibbs states of a quantum system on graphs

Cites Work

• Stochastic processes associated with KMS states
• Homogeneous random fields and statistical mechanics
• Suppression of critical fluctuations by strong quantum effects in quantum lattice systems
• The quasiclassical limit for the Schrödinger operator and phase transitions in quantum statistical physics
• No-go theorem for quantum structural phase transitions
• A QUANTUM CRYSTAL MODEL IN THE LIGHT-MASS LIMIT: GIBBS STATES
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