nLab Alfred Rieckers

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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]

• Reinhard Honegger, Alfred Rieckers, Heisenberg Group Algebra and Strict Weyl Quantization, Chapter 23 in: Photons in Fock Space and Beyond, Volume I: From Classical to Quantized Radiation Systems, World Scientific (2015) [chapter:doi;10.1142/9789814696586_0023, book:doi:10.1142/9251-vol1]

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