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Jan 22, 2019Open AccessArticle
In this article we proposed derivation of the wave function of a quantum system from the functional representation of the state of this system. There is considered representation of creation and annihilation operators by boundary and co-boundary operators of chain and co-chain complexes on the physical space.
Nov 19, 2018Open AccessArticle
The Lienard-Wiechert 4-potential depends on local coordinates and on retarded coordinates of a charge at the source. Therefore, the 4-potential of incoming radiation fields (namely, a photon) cannot be written as a 4-vector which satisfies the locality requirement of fields of a Lagrangian density. This unsolvable problem is the underlying reason for the extremely unusual phenomenon where respectable textbooks make ...
Oct 31, 2018Open AccessArticle
The model of spacetime dynamics proposed here specifies how spacetime emerges, how changes of spacetime propagate, and how changes in spacetime arising from multiple sources accumulate. The overall goal of the model was to achieve maximum compatibility with general relativity and with Einstein’s equation; this goal appears to be achievable except at very small scales, where the discreteness of the units of space matters. The eleme ...
Oct 29, 2018Open AccessArticle
In this paper, an efficient technique for computing the bound state energies and wave functions of the Schrodinger Equation (SE) associated with a new class of spherically symmetric hyperbolic potentials is developed. This technique is based on a recent approximation scheme for the orbital centrifugal term and on the use of the Frobenius method (FM). The bound state eigenvalues are given as zeros of calculable ...
Sep 13, 2018Open AccessArticle
By the
large and small wave-function components approach we achieved the nonrelativistic limit
of the Dirac equation in interaction with an electromagnetic potential in
noncommutative phase-space, and we tested the effect of the phase-space
noncommutativity on it, knowing that the nonrelativistic limit of the Dirac
equation gives the Schrodinger-Pauli 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 non-localities 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 non-local laws: laws that apply to
the collection of system components as a whole. The article presents a proposal
for the treatment of the non ...
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