Abstract
The Green's function and linear integrals of motion for a charged particle moving in an electric field are discussed. The Wigner functions and tomograms of the stationary states of the charged particle are obtained. The relationship between the quantum propagators for the Schrödinger evolution equation, the Moyal evolution equation, and the evolution equation in the tomographic-probability representation for a charged particle moving in an electric field is discussed.
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Man'ko, V.I., Shchukin, E.V. A Charged Particle in an Electric Field in the Probability Representation of Quantum Mechanics. Journal of Russian Laser Research 22, 545–560 (2001). https://doi.org/10.1023/A:1012914300177
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DOI: https://doi.org/10.1023/A:1012914300177