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Quantization of Alternative Hamiltonians

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Czechoslovak Journal of Physics Aims and scope

Abstract

We investigate quantum mechanical implications of canonically inequivalent Hamilton formulations of the Newtonian dynamics. Generated alternative quantizations, being noncanonical, are consistent with the same equations of motion, i.e., they satisfy E.Wigner's principle of quantization. As illustration we consider a noncanonical one-dimensional harmonic oscillator.

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Authors and Affiliations

  1. Polish Acad. Sci, H. Niewodniczański Institute of Nuclear Physics, ul. Eliasza-Radzikowskiego 152, 31 342, Krakow, Poland

    Paweł Błasiak & Andrzej Horzela

  2. Laboratoire de Physique Théorique des Liquides, Université Pierre & Marie Curie, Tour 16 - 5e ét., 4 Pl. Jussieu, 75 252, Paris Cedex 05, France

    Paweł Błasiak

Authors
  1. Paweł Błasiak
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  2. Andrzej Horzela
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Błasiak, P., Horzela, A. Quantization of Alternative Hamiltonians. Czechoslovak Journal of Physics 53, 985–991 (2003). https://doi.org/10.1023/B:CJOP.0000010522.08642.ce

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  • DOI: https://doi.org/10.1023/B:CJOP.0000010522.08642.ce

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