KMS states and star product quantization

DOI10.1016/S0034-4877(99)80144-XzbMath0964.81045MaRDI QIDQ1573843

Stefan Waldmann, Martin Bordemann, Hartmann Römer

Publication date: 9 August 2000

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

zbMATH Keywords

deformation quantizationexistence and uniquenessformal analogue of the Gibbs states

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Related Items (5)

Effective action for relativistic hydrodynamics: fluctuations, dissipation, and entropy inflow ⋮ Some continuous field quantizations, equivalent to the \(C^*\)-Weyl quantization ⋮ Schwinger-Keldysh formalism. II: Thermal equivariant cohomology ⋮ Algebraic Rieffel induction, formal Morita equivalence, and applications to deformation quantization. ⋮ A remark on the deformation of GNS representations of *-algebras

Cites Work

• Unnamed Item
• Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
• Conformal symplectic geometry, deformations, rigidity and geometrical (KMS) conditions
• A remark on formal KMS states in deformation quantization
• Deformation theory and quantization. II: Physical applications
• Homogeneous Fedosov star products on cotangent bundles. I: Weyl and standard ordering with differential operator representation
• Formal GNS construction and states in deformation quantization
• A simple geometrical construction of deformation quantization
• Algebraic index theorem for families
• Algebraic index theorem

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