Injective tensor products in strict deformation quantization

DOI10.1007/S11040-021-09414-1OpenAlexW3110986700WikidataQ114224693 ScholiaQ114224693MaRDI QIDQ2070451

Simone Murro, Christiaan J. F. van de Ven

Publication date: 24 January 2022

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.03469

zbMATH Keywords

Ising modelHeisenberg modelinjective tensor productCurie-Weiss modelstrict deformation quantizationquantum spin systemminimal \(C^*\)-normresolvent algebras

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Tensor products of (C^*)-algebras (46L06) Operator algebra methods applied to problems in quantum theory (81R15) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (4)

The classical limit and spontaneous symmetry breaking in algebraic quantum theory ⋮ 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 ⋮ Strict deformation quantization and local spin interactions

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