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Classical-like description of quantum dynamics by means of symplectic tomography

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Abstract

The dynamical equations of quantum mechanics are rewritten in the form of dynamical equations for the measurable, positive marginal distribution of the shifted, rotated, and squeezed quadrature introduced in the so-called “symplectic tomography”. Then the possibility of a purely classical description of a quantum system as well as a reinterpretation of the quantum measurement theory is discussed and a comparison with the well-known quasi-probabilities approach is given. Furthermore, an analysis of the properties of this marginal distribution, which contains all the quantum information, is performed in the framework of classical probability theory. Finally, examples of the harmonic oscillator's states dynamics are treated.

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Author notes

  1. Vladimir I. Man'ko

    Present address: Lebedev Physical Institute, Moscow, Russia

Authors and Affiliations

  1. Dipartimento di Matematica e Fisica, Università di Camerino, I-62032, Camerino, Italy

    Stefano Mancini, Vladimir I. Man'ko & Paolo Tombest

Authors
  1. Stefano Mancini
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  2. Vladimir I. Man'ko
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  3. Paolo Tombest
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Mancini, S., Man'ko, V.I. & Tombest, P. Classical-like description of quantum dynamics by means of symplectic tomography. Found Phys 27, 801–824 (1997). https://doi.org/10.1007/BF02550342

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  • DOI: https://doi.org/10.1007/BF02550342

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