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On structure preserving quantisations

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Abstract

Maps of functions on classical phase space to quantum operators do not preserve the algebraic structure. After locating the algebraic reasons for it, the problem of quantisation is redefined and the Moyal bracket is discussed for its structure preservation. This quantisation entails the inclusion of Schwartz distributions to the space of classical functions.

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Authors and Affiliations

  1. Mathematical Sciences Division, National Aeronautical Laboratory, Bangalore-17, India

    T. S. Shankara

  2. Physics Department, Central College, Bangalore University, Bangalore-1, India

    M. D. Srinivas

Authors
  1. T. S. Shankara
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  2. M. D. Srinivas
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Shankara, T.S., Srinivas, M.D. On structure preserving quantisations. Int J Theor Phys 4, 395–401 (1971). https://doi.org/10.1007/BF00815361

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  • DOI: https://doi.org/10.1007/BF00815361

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