Nonlinear dynamics of the infinite classical Heisenberg model: existence proof and classical limit of the corresponding quantum time evolution

DOI10.1007/BF01197107zbMath0447.47025OpenAlexW2022246791MaRDI QIDQ1146368

Pierre-A. Vuillermot

Publication date: 1980

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01197107

zbMATH Keywords

nonlinear dynamicsstatistical mechanicsspin systemsclassical and quantum mechanics

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) Groups and semigroups of linear operators (47D03) Many-body theory; quantum Hall effect (81V70) General models, approaches, and methods in mechanics of particles and systems (70G99)

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Cites Work

• The classical limit of quantum partition functions
• The scattering of classical waves from inhomogeneous media
• Non-equilibrium dynamcis of one-dimensional infinite particle systems with a hard-core interaction
• The classical limit of quantum spin systems
• Statistical mechanics of quantum spin systems. II
• Extensions of Trotter's operator semigroup approximation theorems
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