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Dynamical Symmetries and Tomography

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Abstract

The notion of dynamical symmetry is discussed in the framework of the symplectic tomography scheme for the harmonic oscillator. The stationary states are shown to appear as solutions to eigenvalue equation for “classical” probabilities. All the probabilities describing the energy levels are constructed using dynamical-symmetry operators.

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  1. V. I. Man'ko
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Man'ko, V.I. Dynamical Symmetries and Tomography. Foundations of Physics 28, 429–438 (1998). https://doi.org/10.1023/A:1018764027901

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