Field-theoretic Weyl Quantization as a Strict and Continuous Deformation Quantization

Keywords

Quantization (signal processing), Symplectic geometry, Geometric quantization, Pure mathematics, Mathematics

References

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• Some Continuous Field Quantizations, Equivalent to the C*-Weyl QuantizationReinhard Honegger, Alfred Rieckers — 2005
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• Strict quantization of coadjoint orbitsN.P. Landsman — 1998
• Deformation Quantization for Actions of R ]DMarc A. Rieffel — 1993
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Cited by

• Partially Classical States of a Boson FieldReinhard Honegger, Alfred Rieckers — 2003
• The Geometry of Heisenberg GroupsErnst Binz, Sonja Pods — 2008
• Interpretation of Stationary States in Prequantum Classical Statistical Field TheoryAndrei Khrennikov — 2006
• Prequantum Classical Statistical Field Theory: Complex Representation, Hamilton-Schrödinger Equation, and Interpretation of Stationary StatesAndrei Khrennikov — 2006
• A Nuclear Weyl AlgebraStefan Waldmann — 2012
• Some Continuous Field Quantizations, Equivalent to the C*-Weyl QuantizationReinhard Honegger, Alfred Rieckers — 2005
• Deformation Quantization for Actions of Kahlerian Lie Groups Part I: Fr\'echet AlgebrasPierre Bieliavsky, Victor Gayral — 2011
• A deformation quantization theory for noncommutative quantum mechanicsNuno Costa Dias, Maurice A. de Gosson, Franz Luef — 2009
• Construction and uniqueness of the C*-Weyl algebra over a general pre-symplectic spaceErnst Binz, Reinhard Honegger, Alfred Rieckers — 2004
• THERMAL EQUILIBRIUM STATES OF A LINEAR SCALAR QUANTUM FIELD IN STATIONARY SPACE–TIMESKO SANDERS — 2012
• Symplectic geometry of Maxwell theory and the photon conceptErnst Binz, Alfred Rieckers — 2010
• Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras ?Reinhard Honegger — 2008
• Quantization of the Proca field in curved spacetimes - A study of mass dependence and the zero mass limitMaximilian Schambach — 2017
• The classical limit of a state on the Weyl algebraBenjamin H. Feintzeig — 2017
• Why Be regular?, part IBenjamin H. Feintzeig, JB Manchak, Sarita Rosenstock — 2018
• The Status of Scaling Limits as Approximations in Quantum TheoriesBenjamin H. Feintzeig — 2018
• Quantization and the resolvent algebraTeun D. H. van Nuland — 2019
• Convergent star products for projective limits of Hilbert spacesMatthias Schötz, Stefan Waldmann — 2017
• The Classical Limit as an ApproximationBenjamin H. Feintzeig — 2020
• Reductive Explanation and the Construction of Quantum TheoriesBenjamin H. Feintzeig — 2020

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