Strict deformation quantization and local spin interactions

DOI10.1007/s00220-023-04887-3arXiv2210.10697OpenAlexW4391215949WikidataQ129319564 ScholiaQ129319564MaRDI QIDQ6188097

Nicolò Drago, Christiaan J. F. van de Ven

Publication date: 1 February 2024

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

Full work available at URL: https://arxiv.org/abs/2210.10697

Mathematics Subject Classification ID

Quantizations, deformations for selfadjoint operator algebras (46L65) Symplectic geometry, contact geometry (53Dxx) Equilibrium statistical mechanics (82Bxx)

Cites Work

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• General concept of quantization
• Foundations of quantum theory. From classical concepts to operator algebras
• Primitive ideals in enveloping algebras
• Deformation theory and quantization. I: Deformations of symplectic structures
• Deformation theory and quantization. II: Physical applications
• Generalized inductive limits of finite-dimensional \(C^*\)-algebras
• Injective tensor products in strict deformation quantization
• Bulk-boundary asymptotic equivalence of two strict deformation quantizations
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• The classical limit and spontaneous symmetry breaking in algebraic quantum theory
• The classical limit of mean-field quantum spin systems
• Strict deformation quantization of the state space of Mk(ℂ) with applications to the Curie–Weiss model
• Statistical Mechanics of Lattice Systems
• DLR-KMS correspondence on lattice spin systems
• The classical limit of Schrödinger operators in the framework of Berezin quantization and spontaneous symmetry breaking as an emergent phenomenon

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