The classical limit and spontaneous symmetry breaking in algebraic quantum theory
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Publication:2674681
DOI10.1016/j.exmath.2022.02.002OpenAlexW3200748809MaRDI QIDQ2674681
Publication date: 14 September 2022
Published in: Expositiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.05653
deformation quantizationoperator algebrasspontaneous symmetry breakingclassical limitemergencealgebraic quantum theory
Symmetry breaking in quantum theory (81R40) Applications of selfadjoint operator algebras to physics (46L60) Geometry and quantization, symplectic methods (81S10)
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Cites Work
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- General concept of quantization
- Foundations of quantum theory. From classical concepts to operator algebras
- Less is different: emergence and reduction reconciled
- Understanding quantum measurement from the solution of dynamical models
- The phase diagram of the quantum Curie-Weiss model
- Semiclassical analysis of low lying eigenvalues. IV. The flea on the elephant
- A remark on formal KMS states in deformation quantization
- New approach to the semiclassical limit of quantum mechanics. I: Multiple tunnelings in one dimension
- Semi-classical analysis for the Schrödinger operator and applications
- Primitive ideals in enveloping algebras
- Deformation theory and quantization. II: Physical applications
- Symmetry breaking in Heisenberg antiferromagnets
- Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
- Long-range order, ``tower of states, and symmetry breaking in lattice quantum systems
- Deformation quantization of Heisenberg manifolds
- Symmetry breaking and finite-size effects in quantum many-body systems
- Operations on continuous bundles of \(C^*\)-algebras
- Natural nonequilibrium states in quantum statistical mechanics
- Injective tensor products in strict deformation quantization
- Bulk-boundary asymptotic equivalence of two strict deformation quantizations
- Spontaneous symmetry breaking in quantum systems: emergence or reduction?
- The classical limit of quantum spin systems
- Coherent states for arbitrary Lie group
- Multiple wells in the semi-classical limit I
- The classical limit of mean-field quantum spin systems
- The dynamics of a class of quantum mean-field theories
- Coherent states of SU(N) groups
- Strict deformation quantization of the state space of Mk(ℂ) with applications to the Curie–Weiss model
- An Approximate Quantum Theory of the Antiferromagnetic Ground State
