A solution to the Schrödinger equation completely mapped to the microlevel of the matter is obtained. The solution allows mathematically to ground the phenomenon of formation of the elementary antiparticles, emergence of the elementary particles from the vacuum at a high electric field intensity, to create a model of wave-particle duality and obtain a model of a gravitational wave. To obtain a model of antiparticles, a model of the emergence of elementary particles from a physical vacuum at a high electric field strength, a model of wave-particle duality, as well as a model of a gravitational wave, and a solution of the non-stationary Schrödinger equation is given. In order to obtain a solution to the non-stationary Schrödinger equation, the values that are in the real area are transferred to the imaginary area. This is achieved by jointly solving the equations of stochastic mechanics and the ARG function introduced by the author. A steady-state solution of the Rikkati-type equation written for imaginary dispersion is obtained. The steady-state solution of this equation at a constant value of the potential field makes it possible to obtain the models listed above.

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