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Jan 22, 2019Open    AccessArticle

Wave Functions, Creation and Annihilation Operators of Quantum Physical System

Malkhaz Mumladze
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 Rise and Fall of the Electromagnetic 4-Potential

Eliahu Comay
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

A Local Causal Model of Spacetime Dynamics

Hans Diel
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

Application of the Frobenius Method to the Schrodinger Equation for a Spherically Symmetric Hyperbolic Potential

Hippolyte Nyengeri, Rénovat Nizigiyima, Eugène Ndenzako, Félix Bigirimana, Dieudonné Niyonkuru, Audace Girukwishaka
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

The Phase-Space Noncommutativity Effect on the Large and Small Wave-Function Components Approach at Dirac Equation

Ilyas Haouam
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

Frobenius Series Solutions of the Schrodinger Equation with Various Types of Symmetric Hyperbolic Potentials in One Dimension

Hippolyte Nyengeri, René Simbizi, Audace Girukwishaka, Rénovat Nizigiyimana, Eugène Ndenzako
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

Physical Properties of Interaction Mediating Fields

Eliahu Comay
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

The Relativistic Giant Atom: Evidences and Recommendations

Emad Eldieb
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

Quantum Physical Systems and Their Evolution

Malkhaz Mumladze
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

Collective Behavior in a Local Causal Model of Quantum Theory

Hans H. Diel
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