Dynamics of quantum fluctuations in an anharmonic crystal model
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Publication:2500031
DOI10.1007/BF02179394zbMath1106.82332MaRDI QIDQ2500031
Valentin A. Zagrebnov, André F. Verbeure
Publication date: 23 August 2006
Published in: Journal of Statistical Physics (Search for Journal in Brave)
dynamicsorder parametercritical linephonon spectrumsoft modescentral peak problemQuantum fluctuation operators
Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)
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A QUANTUM CRYSTAL MODEL IN THE LIGHT-MASS LIMIT: GIBBS STATES ⋮ Random-field quantum spherical ferroelectric model ⋮ Lie algebra of anomalously scaled fluctuations ⋮ Algebraic structure of quantum fluctations ⋮ CCR-algebra structure of normal \(k\)-mode fluctuations ⋮ Quantum critical fluctuations in a ferroelectric model: Quasi-average approach ⋮ Wilhelm von Waldenfels (2-3-1932–12-3-2021), a pioneer of quantum probability
Cites Work
- Non-commutative central limits
- Dynamics of fluctuations for quantum lattice systems
- Phase transitions and algebra of fluctuation operators in an exactly soluble model of a quantum anharmonic crystal
- On the Gaussian fluctuations of the critical Curie-Weiss model in statistical mechanics
- The smallest C\(^*\)-algebra for canonical commutation relations
- Gaussian, non-Gaussian critical fluctuations in the Curie-Weiss model
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