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Variational principle and quantum operators ordering

  • Physics of Elementary Particles and Atomic Nuclei. Theory
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Abstract

The parameter responsible for the choice of quantum operator representation is discussed, and, with the help of the variational principle, its optimal value is established. Interpreting the deviations from the equilibrium value as a dynamic variable leads to the idea of a scalar field of exceptional nature which is responsible for the ordering of the operators.

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Authors and Affiliations

  1. Bogolyubov Institute of Theoretical Physics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    G. M. Zinovjev

  2. Joint Institute for Nuclear Research, Dubna, Russia

    S. V. Molodtsov

  3. Institute of Theoretical and Experimental Physics, Moscow, Russia

    S. V. Molodtsov

Authors
  1. G. M. Zinovjev
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  2. S. V. Molodtsov
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Additional information

Original Russian Text © G.M. Zinovjev, S.V. Molodtsov, 2010, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2010, No. 1(157), pp. 14–22.

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Zinovjev, G.M., Molodtsov, S.V. Variational principle and quantum operators ordering. Phys. Part. Nuclei Lett. 7, 5–9 (2010). https://doi.org/10.1134/S1547477110010024

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  • DOI: https://doi.org/10.1134/S1547477110010024

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