This article solves the problem of variation of fundamental physical-mathematical constant (the fine-structure constant) in dependence of the age of the Universe. This problem has been named by as one of the MILLENNIUM PROBLEMS. The mathematical model of the evolution of the Univ...
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Research Article10.9734/PSIJ/2016/21966
The First and Second Zagreb indices were first introduced by I. Gutman and N. Trinajstić in 1972. It is reported that these indices are useful in the study of anti-inflammatory activities of certain chemical instances, and in elsewhere. Recently, the First and Second Multiple Zag...
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Research Article10.9734/PSIJ/2016/21420
By using a Coulomb potential, modified by the interaction between the magnetic moments of the electron and proton, we have calculated the energy levels of the hydrogen atom. We have obtained fine and hyperfine structure as well as the Lamb shift. All these effects are obtained fr...
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Research Article10.9734/PSIJ/2015/21711
We verify some assertions in the prequel to this paper, in which certain functions which are referred to as proximity functions were introduced in order to study Dirichlet-type approximations in normed divisible groups and similar groups that enjoy a form of divisibility, for ins...
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Research Article10.9734/PSIJ/2015/18487
The mass in Einstein’s energy-mass equivalence equation has two possible interpretations, whether it is limited to the invariant mass, or it applies to all energy. This paper argues that all of the energy (kg m2 s−2) has a mass (kg: a degree of weight and inertial resistance). Th...
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Research Article10.9734/PSIJ/2015/21776
The formula for the gravitational force inside a spherical body is derived, as well as for the Newtonian force of attraction between bodies from the standpoint of the gravitons’ model. The parameters of the graviton field are estimated, including its energy density, energy flux a...
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Research Article10.9734/PSIJ/2015/22197
The light amplification by finite active media is used extensively in modern optics applications. In this paper, the light amplification and scattering by the cluster of small active particles is studied analytically and numerically with the help of the local perturbation method...
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Research Article10.9734/PSIJ/2015/21553
We studied the microwave absorption of multi-walled carbon nanotubes (MWCNTs)-epoxy composites over a continuous frequency range in R-band (26.5 – 40 GHz). The outer diameters (OD) of the MWCNTs were in the 10 – 20 nm range. We measured and analyzed the microstructures, dielectri...
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Research Article10.9734/PSIJ/2015/19439
In the work obtained new matrix composite materials of high density polyethylene (HDPE) with a semiconductor additive. With a measuring instrument bridge E8-7 and E7-20 studied temperature and frequency dependence of the permittivity (ε) and the dielectric loss tangent (tgδ) comp...
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Research Article10.9734/PSIJ/2015/18839
The clear definitions of symmetry operations (or elements) of the crystallographic point group T (tetrahedral group) were clearly pictured. For each element of the group, the permutation (P4) counterparts and the matrix representations were obtained. The orbits and stabilizers fo...
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Research Article10.9734/PSIJ/2015/20331