Abstract
The present article discusses the problems of relativistic invariance and commutation relations at unitary quantum theory. The scalar analogue of the main (principal) equation of the unitary quantum theory together with the Poisson equation are solved numerically in this paper. The value of the fine-structure constant, are found, which are in good agreement with the experiment. The evaluation of the electrical form factor of such a particle is also carried out.
Highlights
In the standard quantum theory, a micro-particle is described with the help of a wave function with a probabilistic interpretation
The present article discusses the problems of relativistic invariance and commutation relations at unitary quantum theory
In Unitary Quantum Theory (UQT) the quantization of particles on masses appears as a subtle consequence of a balance between dispersion and nonlinearity, and the particle represents something like a very little water-ball, the contour of which is the density of energy (Sapogin et al, 2008a, 2008b, 2010a)
Summary
In the standard quantum theory, a micro-particle is described with the help of a wave function with a probabilistic interpretation. Modern quantum field theory can not even formulate the problem of finding a mass spectrum This dualism is absolutely not satisfactory as the two substances have been introduced, that is, both the points and the fields. In UQT the quantization of particles on masses appears as a subtle consequence of a balance between dispersion and nonlinearity, and the particle represents something like a very little water-ball, the contour of which is the density of energy (Sapogin et al, 2008a, 2008b, 2010a) Following, in essence, this general idea, the Unitary Quantum Theory (UQT) represents a particle as a bunched field (cluster) or a packet of partial waves with linear dispersion, and the particle is identified with some field. Dispersion is chosen in such a way that the wave packet would periodically disappear and appear in movement, and the envelope of the process would coincide with de Broglie wave (Sapogin, 1973, 1979, 1980)
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