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Sep 13, 2018Open AccessArticle
By the
large and small wavefunction components approach we achieved the nonrelativistic limit
of the Dirac equation in interaction with an electromagnetic potential in
noncommutative phasespace, and we tested the effect of the phasespace
noncommutativity on it, knowing that the nonrelativistic limit of the Dirac
equation gives the SchrodingerPauli equation.
Jul 26, 2018Open AccessArticle
The
Schrodinger equation (SE) for a certain class of symmetric hyperbolic
potentials is solved with the aid of the Frobenius method (FM). The bound state
energies are given as zeros of a calculable function. The calculated bound
state energies are successively substituted into the recurrence relations for
the expanding coefficients of the Frobenius series representing even and odd
solutions in order to obtain wave functions associ ...
Jul 19, 2018Open AccessArticle
This work analyzes quantum fields that describe
particles and quantum fields that mediate interaction between particles.
Criteria for the acceptability of a quantum theory are explained and used. The
main result states that no genuine particle mediates interaction between other
particles. It is proved that Maxwellian radiation fields, namely photons,
interact with electric charges but no genuine photon is involved ...
Apr 13, 2018Open AccessArticle
In 2017 we published a new theory under the title: physics of the relativistic giant atom [1], where we suggested an alternative solution for the theory of special relativity. Some points were ambigious. Here in this present article we rewrite the same paper with clarification of the ambigios points, and with adding new ideas. If the original relativity says: the relativistic mass m(v) of a particle increases and its relativistic ...
Jan 11, 2018Open AccessArticle
In this article, we
proposed a method for describing the evolution of quantum physical systems. We define
the action integral on the functional space and the entropy of distribution of
observable values on the set of quantum states. Dynamic of quantum system in
this article is described as dynamical system represented by one parametric semi
group which is extremal of this action integral. Evol ...
Sep 15, 2017Open AccessArticle
The nonlocalities in
quantum theory (QT) (the most famous example is expressed in the violation of
Bell’s inequality in experiments) impede the construction of a local causal
model of QT including quantum field theory (QFT). The laws of collective
behavior may be considered to be types of nonlocal laws: laws that apply to
the collection of system components as a whole. The article presents a proposal
for the treatment of the non ...
Jun 23, 2017Open AccessArticle
The Lorentz transformation properties of charge
current four vector for Dirac spinor particles are examined once more
especially for the zitterbewegung terms which are integral parts of this theory.
Feb 08, 2017Open AccessArticle
The enterprise to construct a local causal model of quantum theory (QT), including quantum field theory (QFT), resulted in the identification of “quantum objects” as the elementary units of causality and locality. Quantum objects are collections of particles (including single particles) whose collective dynamics and measurement results can only be described by the laws of QT/ QFT. Quantum objects run autonomously with system state update frequency based on their local proper time and with no or ...
May 17, 2016Open AccessArticle
The paper discusses two cases showing crucial effects of
error correction. It proves that contrary to the common belief, the electronic
state of atoms having more than one electron has a multiconfiguration structure
and that the central field approximation provides an inadequate description of
the wave function. Fundamental isospin properties prove that baryonic quarks
(like those of the ...
Oct 22, 2015Open AccessArticle
By starting from a quaternionic separable Hilbert space as a base model,
the paper uses the capabilities and the restrictions of this model in order to
investigate the origins of the electric charge and the electric fields. Also,
other discrete properties such as color charge and spin are considered. The
paper exploits all known aspects of the quaternionic number system and it uses
quaternionic differential calculus rather than Maxwell based differential
calculus. The paper presents fields as mo...
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