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Electromagnetic Field, Spin, and Gravitation as Characteristics of a Charged Quantum Particle Wave Function

Eliade Stefanescu

In this paper, a quantum particle is conceived as a packet of waves with invariant time-dependent phases for any change of coordinates. In this framework, we obtain the relativistic kinematics and dynamics, and the spin as a characteristic of the particle dynamics. When a field is considered in interaction with a quantum particle, the Lorentz force, and the Maxwell equations are obtained. For a quantum particle in a central gravitational field, we obtain the Newtonian acceleration with a correction specific to the Schwarzschild solution, which describes an increase of the gravitational field in the proximity of the gravitational center. We essentially show that a quantum particle is described by a distribution of conservative matter, moving according to the general theory of relativity.