Fractal Motion of Electrons with Variable Weak Memory and Nonlocality

Equations of fractal motion of electrons with variable weak memory and nonlocality are investigated. It is demonstrated that the fractal dimension of time changes by a harmonic law for stationary electron motion. The fractal nonlocality has been established for the free electron; it also changes by a harmonic law. The fractal nonlocality of the electron bound with the hydrogen atom nucleus differs radically. In this case, the fractal dimension of radial electron motion is everywhere less than unity. It can be greater than unity in regions well away from the nucleus. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 52–57, September, 2005.