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In this paper we analyze Schr?dinger's wave equation in comparison to the ordinary wave equation describing arbitrary periodic processes running in space and time. Schr?dinger's approach gave birth to abstract phenomenological constructions, which do not reflect the real picture of the micro-world; it has by now exhausted itself completely. So a comprehensive re-analysis of foundations of quantum mechanics is urgently needed; first of all, interpretation of Schr?dinger's equation and complex -functions. Here, we emphasize unknown (or un-discussed) features of Schr?dinger's equation.

This paper describes a physical model of elementary particles based on the wave features of their behavior. Elementary particles are regarded as dynamical structures of the micro-world, interrelated with all levels of the Universe; i.e., inseparable from the structure of the Universe as a whole. Between any elementary particles and the ambient field of matter-space-time, as well as between elementary particles themselves, there exists an interchange of matter-space-time occurring both in horizontal (within the same level) and vertical (between different levels) directions. This model reveals the nature of mass and charge of elementary particles, which in turn leads to the unified description of fundamental (electromagnetic, gravitational, and nuclear) interactions, and other important results considered concisely here.

The foundations of quantum mechanics are analyzed, and some problems that appeared during its creation and remain unsolved today are emphasized. It is shown that the introduction of variable wave number k, depending on electron coordinates, and the omission of the azimuth part of the wave function ?, were erroneous. Including the azimuth factor of the wave function and taking into consideration the constant value of k result in wave-equation solutions showing a discrete nodal structure of inter-atomic space, and arrives at a periodic-nonperiodic law for behavior of atomic structures. Viewing atoms as quasi-spherical neutron molecules makes it possible to understand characteristic features of the periodic table