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arXiv · 1503.04640

Towards a tomographic representation of quantum mechanics on the plane

Grigori G. Amosov·Andrey I. Dnestryan
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Abstract

On the base of symplectic quantum tomogram we define a probability distribution on the plane. The dual map transfers all observables which are polynomials of the position and momentum operators to the set of polynomials of two variables. In this representation the average values of observables can be calculated by means of integration over all the plane.

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Grigori G. Amosov, Andrey I. Dnestryan. 2015-03-16. Towards a tomographic representation of quantum mechanics on the plane. https://arxiv.org/abs/1503.04640

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