LIMITATIONS OF QUANTUM MECHANICS BY RESTRICTIONS FORMALISM OF CLASSICAL MECHANICS

Abstract

Broadening the Schrödinger equation by removing the limitations imposed by the formalism of Hamilton, based on which this equation received is submitted. These limitations pre- clude the use of the Schrödinger equation to describe the dynamical symmetry violation. The expan- sion of the Schrödinger equation is realized based on the principle of duality symmetry. According to this principle the dynamic of the systems determined by the symmetry of the system and space. The extended Schrödinger equation was obtained from the dual expression of energy, represented in operator form. The independent micro and macro variables that determine respectively the dynamics of micro-particle quantum system relative to its center of mass and the movement of the center of mass in space are used. The problems of quantum mechanics, due to the structural change of micro particles and the internal energy of the strong interactions are discussed.

Keywords: Schrödinger equation, the principle of duality symmetries, dual coordinate system.