Classical limits of unbounded quantities by strict quantization
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Publication:5141134
DOI10.1063/1.5142182zbMath1454.81081arXiv2010.07264OpenAlexW3103605203MaRDI QIDQ5141134
Jonah Librande, Thomas Browning, Robin Gates-Redburg, Rory Soiffer, Benjamin H. Feintzeig
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.07264
Quantization in field theory; cohomological methods (81T70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Bergman spaces and Fock spaces (30H20) Bosonic systems in quantum theory (81V73)
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- On a tensor-analogue of the Schur product
- Foundations of quantum theory. From classical concepts to operator algebras
- Coherent states and applications in mathematical physics.
- Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon
- Strict deformation quantization of a particle in external gravitational and Yang-Mills fields
- Perturbative algebraic quantum field theory. An introduction for mathematicians
- Structure of locally convex quasi \(C^*\)-algebras
- Field-theoretic Weyl deformation quantization of enlarged Poisson algebras
- Locally convex quasi \(C^{*}\)-normed algebras
- Axiomatic quantum field theory in curved spacetime
- The double-wedge algebra for quantum fields on Schwarzschild and Minkowski spacetimes
- Tomita-Takesaki theory in algebras of unbounded operators
- Twisted Lie group \(C^*\)-algebras as strict quantizations
- On the continuous extension of states on the CCR algebra
- Cylindrical Wigner measures
- Quantum mean-field asymptotics and multiscale analysis
- Deformation quantization of Heisenberg manifolds
- The smallest C\(^*\)-algebra for canonical commutation relations
- Field-theoretic Weyl quantization as a strict and continuous deformation quantization
- Some continuous field quantizations, equivalent to the \(C^*\)-Weyl quantization
- Spontaneous symmetry breaking in quantum systems: emergence or reduction?
- Perturbative Construction of Models of Algebraic Quantum Field Theory
- Recent Developments in Deformation Quantization
- Positivity in Rieffel's strict deformation quantization
- Old and new results on Allan's GB*-algebras
- Deformation quantization for actions of 𝑅^{𝑑}
- DEFORMATIONS OF ALGEBRAS OF OBSERVABLES AND THE CLASSICAL LIMIT OF QUANTUM MECHANICS
- The classical limit of a state on the Weyl algebra
- Construction and uniqueness of the C*-Weyl algebra over a general pre-symplectic space
- STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION
- Toeplitz operators and quantum mechanics
- Local Wick polynomials and time ordered products of quantum fields in curved spacetime