Abstract
A nonstationary self-consistent quantum system that intensively interacts with its own field is studied. At a nonzero moment, the psi function cannot be independent of the angles of the spherical coordinate system. Conditions are defined under which, in the case of half-integer values of the moment \((l = \pm \frac{1}{2})\), the charge density distribution turns out to be spherically symmetric. In this case, a self-consistent system can be described by a system of ordinary differential equations.
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Chikhachev, A.S. Dynamics of States with Half-Integer Orbital Momentum in Their Own Field. Phys. Part. Nuclei Lett. 20, 976–980 (2023). https://doi.org/10.1134/S1547477123050205
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DOI: https://doi.org/10.1134/S1547477123050205