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Quantization as mapping and as deformation

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Czechoslovak Journal of Physics B Aims and scope

Abstract

Quantizations are considered as mappings from the algebra of classical polynomial observables into the algebra of quantum polynomial observables satisfying a minimal set of natural requirements. Physically important subclasses of quantizations are specified by further symmetry assumptions.

In the second part quantizations are defined as deformations of the classical algebra of polynomial observables. The relation of these deformations to the quantization mappings is clarified.

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Authors and Affiliations

  1. Institute of Physics, Czechosl. Acad. Sci., Prague, Na Slovance 2, 180 40, Praha 8, Czechoslovakia

    J. Niederle

  2. Faculty of Nuclear Science and Physical Engineering, Technical University of Prague, Břehová 7, 115 19, Praha 1, Czechoslovakia

    J. Tolar

Authors
  1. J. Niederle
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  2. J. Tolar
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Additional information

Dedicated to Academician Václav Votruba on the occasion of his seventieth birthday.

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Niederle, J., Tolar, J. Quantization as mapping and as deformation. Czech J Phys 29, 1358–1368 (1979). https://doi.org/10.1007/BF01590203

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  • DOI: https://doi.org/10.1007/BF01590203

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