Obtaining the relativistic formula for the refraction of light and the practice of its application

The aim of this scientific study was to obtain a new physical formula for determining the refractive indices of light as a function of wavelength, which can be applied to the widest range of transparent substances. This study was based on the hypothesis of the dependence of the speed of propagation of photons inside matter on the density of electron clouds of atoms of matter. In the course of research on the basis of Einstein's relativistic formula, this dispersion formula was obtained. The new physical formula was used to calculate 26 refractive indices of light in 5 transparent substances in three states of aggregation. Comparison of the obtained indicators with laboratory indicators showed the high accuracy of the new dispersion formula, which amounted to T10 -7h10 -5 in the calculated wavelength ranges of more than 100 nm. The successful application of the relativistic formula to processes occurring at the atomic level allows us to look at the nature of the interaction of light and matter from a new angle.

Obtaining the relativistic formula for the refraction of light and the practice of its application

The aim of this scientific study was to obtain a new physical formula for determining the refractive indices of light as a function of wavelength, which can be applied to the widest range of transparent substances. This study was based on the hypothesis of the dependence of the speed of propagation of photons inside matter on the density of electron clouds of atoms of matter. In the course of research on the basis of Einstein's relativistic formula, this dispersion formula was obtained. The new physical formula was used to calculate 26 refractive indices of light in 5 transparent substances in three states of aggregation. Comparison of the obtained indicators with laboratory indicators showed the high accuracy of the new dispersion formula, which amounted to T10 -7h10 -5 in the calculated wavelength ranges of more than 100 nm. The successful application of the relativistic formula to processes occurring at the atomic level allows us to look at the nature of the interaction of light and matter from a new angle.

New dispersion formula and results of its application

The aim of the study was to obtain a new physical formula for determining the refractive indices of light as a function of wavelength, which can be applied to a wide range of transparent substances. In the process of research on the basis of Einstein's relativistic formula, such a dispersion formula was obtained. Comparison of the obtained indicators with laboratory indicators showed the high accuracy of the new dispersion formula, which was ±10 -7 − 10 -5 in the calculated wavelength ranges of more than 100 nm.The new dispersion formula is obtained on the basis of the mathematical dependence of the speed of propagation of photons in a transparent substance on the energy density of electron clouds of atoms of the substance. Energy is a universal category, therefore, it is possible to apply the basic version of the new formula (where instead of the wavelength there is the energy density of electron clouds) when conducting research in all areas of light generation, manipulation and detection.And, finally, the very fact of applying the adapted relativistic Einstein's formula to physical processes occurring at the atomic level allows us to look at the nature of the interaction of light and matter from a new angle.

«New dispersion formula and results of its application»

The aim of the study was to obtain a new physical formula for determining the refractive indices of light as a function of wavelength, which can be applied to a wide range of transparent substances. In the process of research on the basis of Einstein's relativistic formula, such a dispersion formula was obtained. Comparison of the obtained indicators with laboratory indicators showed the high accuracy of the new dispersion formula, which was ±10 -7-10 -5 in the calculated wavelength ranges of more than 100 nm. The new dispersion formula is obtained on the basis of the mathematical dependence of the speed of propagation of photons in a transparent substance on the energy density of electron clouds of atoms of the substance. Energy is a universal category, therefore, it is possible to apply the basic version of the new formula (where instead of the wavelength there is the energy density of electron clouds) when conducting research in all areas of light generation, manipulation and detection. And, finally, the very fact of applying the adapted relativistic Einstein's formula to physical processes occurring at the atomic level allows us to look at the nature of the interaction of light and matter from a new angle.

The Symmetrical Parabolic Approximation in College Physics

Complicated functions appearing in physics are frequently simplified by a symmetrical parabolic approximation for obtaining useful results. The symmetrical parabolic approximation is employed in many different problems in a first year college physics course. Some examples of this approximation are explored in this article. With the aid of Hamilton’s equations it is shown that the classical formula for the kinetic energy of a particle is a symmetrical parabolic approximation for the more general relativistic formula.

Effects of tensor couplings of ω and ρ mesons on 1S0 nucleon superfluidity in neutron star matter

The [Formula: see text] nucleon superfluidity in neutron star matter was investigated in the framework of relativistic [Formula: see text] model with the tensor couplings of [Formula: see text] and [Formula: see text] mesons using the relativistic Hartree–Fock (RHF) approximation. It was found that the tensor couplings of [Formula: see text] and [Formula: see text] mesons lead to a clear growth of the [Formula: see text] neutron pairing gap in the density range where there exists [Formula: see text] neutron superfluidity. The [Formula: see text] pairing gap of proton with the tensor couplings of [Formula: see text] and [Formula: see text] mesons in the density range of [Formula: see text]–[Formula: see text][Formula: see text]fm[Formula: see text] is lower and then in the density range of [Formula: see text]–[Formula: see text][Formula: see text]fm[Formula: see text] higher than the corresponding value without the tensor couplings of [Formula: see text] and [Formula: see text] mesons. Our results provide a basic to understand the influence of the tensor couplings of [Formula: see text] and [Formula: see text] mesons on the cooling properties of neutron star.

MASSES OF LIGHT MESONS IN THE RELATIVISTIC QUARK MODEL

The masses of the S-wave mesons consisting of the light (u, d, s) quarks are calculated within the constituent quark model. The relativistic Schrödinger-like equation with a confining potential is numerically solved for the complete relativistic [Formula: see text] potential including both spin-independent and spin-dependent terms. The obtained masses of the ground state π, ρ, K, K* and ϕ mesons and their first radial excitations are in a reasonably good overall agreement with experimental data.