nLab Ernst Binz

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Selected writings

On continuous fields of Weyl algebras as continuous deformation quantizations of symplectic vector spaces:

• Ernst Binz, Reinhard Honegger, Alfred Rieckers, Field-theoretic Weyl Quantization as a Strict and Continuous Deformation Quantization, Annales Henri Poincaré 5 (2004) 327–346 [doi:10.1007/s00023-004-0171-y]

On group algebras of (underlying discrete) Heisenberg groups as strict deformation quantizations of pre-symplectic topological vector spaces by continuous fields of Weyl algebras:

• Ernst Binz, Reinhard Honegger, Alfred Rieckers, Infinite dimensional Heisenberg group algebra and field-theoretic strict deformation quantization, International Journal of Pure and Applied Mathematics 38 1 (2007) [ijpam:2007-38-1/6, pdf]

On Heisenberg groups, Heisenberg Lie algebras and strict deformation quantization:

• Ernst Binz, Sonja Pods, Ch 1 in: The geometry of Heisenberg groups — With Applications in Signal Theory, Optics, Quantization, and Field Quantization, Mathematical Surveys and Monographs 151, American Mathematical Society (2008) [ams:surv-151]

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