Sep 21, 2020Open AccessArticle
A very simple (therefore strong) argument, grounded in the action reaction principle, predicts the existence of isolated quantum, de Broglie waves. In this article I propose an experimental set up able to detect these quantum waves. As far as quantum waves are associated to any kind of elementary particles, massive or massless, charged or neutral, etc., its character is probably gravitational, i.e., they are micro-gravitational waves. The quantum wave is isolated when a particle can follow two (...
Jun 11, 2020Open AccessArticle
The Dirac equation of relativistic quantum mechanics is critically examined to see that it gives self-consistent results. Our findings are in the negative.
Nov 08, 2019Open AccessArticle
We can not only bring time operator in quantum mechanics (non-relativistic) but also determine its Eigen value, commutation relation of its square with energy and some of the properties of time operator like either it is Hermitian or not, either its expectation value is real or complex for a wave packet etc. Exactly these are what I have done.
Oct 14, 2019Open AccessArticle
Properties of a quantum field that represents an elementary particle and a quantum field that mediates an interaction between particles are analyzed. This analysis relies on fundamental physical principles. The mathematical structure of these fields proves that they are completely different physical objects. A further analysis proves that a quantum field that represents an elementary massive particle and a quantum field that repre
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
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
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