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

Foundations of Physics 27 (6):801-824 (1997)
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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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References found in this work

Selected papers of Léon Rosenfeld.Leon Rosenfeld - 1979 - Boston: D. Reidel Pub. Co.. Edited by R. S. Cohen & John J. Stachel.
A tomographic approach to Wigner's function.J. Bertrand & P. Bertrand - 1987 - Foundations of Physics 17 (4):397-405.
Measurement of quantum states and the Wigner function.Antoine Royer - 1989 - Foundations of Physics 19 (1):3-32.

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