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.

中文翻译：

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自身场中具有半整数轨道动量的状态的动力学

摘要

研究了与其自身场强烈相互作用的非平稳自洽量子系统。在非零时刻，psi 函数不能独立于球坐标系的角度。定义条件，在矩\((l = \pm \frac{1}{2})\)半整数值的情况下，电荷密度分布结果是球对称的。在这种情况下，自洽系统可以用常微分方程组来描述。