scholarly journals Numerical task for orbital electron in transition subatomic structure

2021 ◽  
Author(s):  
Mikhail Ivantsov
Keyword(s):  
Fine Structure ◽  
Hydrogen Atom ◽  
Ground State ◽  
Lamb Shift ◽  
Electroweak Interaction ◽  
Structure Constant ◽  
Fine Structure Constant ◽  
Multiply Charged ◽  
Electric Interaction ◽  
Orbital Electron

Abstract The present work as part of a known task of single-electron atom has been carried out, wherein one mathematical theorem is proved. Herewith an orbital electron was modeled, for which a certain parallelism exists between the highlighted ground state of the atom and special transition states in subatomic structure. Moreover, the ground state in unambiguous solution of fine-structure constant is obtained, where first transition state at the exceptional accordance with proton nucleus can be founded. For here, it is possible to relate the hyper-fine nuclear structure like the Lamb shift of hydrogen atom. In this substantiation of the task, multiply charged states were predicted for a hypothetical nucleus, as in the higher order of meson-boson transitions. The specified approach, in the terms of electric interaction, may be beyond a scope of the existing boson classification, supposedly for the carriers of electroweak interaction.

scholarly journals Fine Structure Constant, Domain Walls, and Generalized Uncertainty Principle in the Universe

2011 ◽  
Vol 2011 ◽  
pp. 1-12
Author(s):  
Luigi Tedesco
Keyword(s):  
Fine Structure ◽  
Hydrogen Atom ◽  
Domain Wall ◽  
Uncertainty Principle ◽  
Ground State ◽  
Domain Walls ◽  
Generalized Uncertainty Principle ◽  
Structure Constant ◽  
Fine Structure Constant ◽  
The Universe

We study the corrections to the fine structure constant from the generalized uncertainty principle in the spacetime of a domain wall. We also calculate the corrections to the standard formula to the energy of the electron in the hydrogen atom to the ground state, in the case of spacetime of a domain wall and generalized uncertainty principle. The results generalize the cases known in literature.

scholarly journals Elucidating the Nature of the Fine Structure Constant and Indicating the Existence of an Unknown Angular Momentum

2017 ◽  
Vol 9 (4) ◽  
pp. 17
Author(s):  
Koshun Suto
Keyword(s):  
Angular Momentum ◽  
Fine Structure ◽  
Hydrogen Atom ◽  
Structure Constant ◽  
Physical Constant ◽  
Natural World ◽  
Fine Structure Constant ◽  
Relativistic Energy ◽  
Planck Constant ◽  
Virtual Particle

In this paper, the author searches for a formula different from the existing formula in order to elucidate the nature of the fine structure constant a. The relativistic energy of the electron in a hydrogen atom is expressed as E_re,n and the momentum corresponding to that energy is taken to be P_re,n. Also, P_p,n is assumed to be the momentum of a photon emitted when an electron that has been stationary in free space transitions to the inside of a hydrogen atom. When n=1, the ratio of P_re,1 and P_p,1 matches with a. That is, P_p,1/Pre,1=a Also, the formula for the energy of a photon is E=hv. However, this formula has no constant of proportionality. If one wishes to claim that the energy of a photon varies in proportion to the photon's frequency, then a formula containing a constant of proportionality is necessary. Thus, this paper predicts that, in the natural world, there is a minimum unit of angular momentum h_vp smaller than the Planck constant. (The vp in h_vp stands for “virtual particle.”)If this physical constant is introduced, then the formula for the energy of the photon can be written as E=h_vp v/a. If h_vp exists, a formula can also be obtained which helps to elucidate the nature of the fine structure constant.

scholarly journals Fine-Structure Constant from Golden Ratio Geometry

2018 ◽  
Author(s):  
Michael A. Sherbon
Keyword(s):  
Fine Structure ◽  
Hydrogen Atom ◽  
Exponential Function ◽  
Golden Ratio ◽  
Structure Constant ◽  
Fine Structure Constant ◽  
Electron Mass ◽  
Mass Ratio ◽  
Mathematical Constants

After a brief review of the golden ratio in history and our previous exposition of the fine-structure constant and equations with the exponential function, the fine-structure constant is studied in the context of other research calculating the fine-structure constant from the golden ratio geometry of the hydrogen atom. This research is extended and the fine-structure constant is then calculated in powers of the golden ratio to an accuracy consistent with the most recent publications. The mathematical constants associated with the golden ratio are also involved in both the calculation of the fine-structure constant and the proton-electron mass ratio. These constants are included in symbolic geometry of historical relevance in the science of the ancients.

scholarly journals The quantum theory of the neutron

1934 ◽  
Vol 145 (854) ◽  
pp. 344-358 ◽  
Keyword(s):  
Wave Equation ◽  
Fine Structure ◽  
Quantum Theory ◽  
Hydrogen Atom ◽  
Ad Hoc ◽  
Structure Constant ◽  
Wave Functions ◽  
Fine Structure Constant ◽  
Second Order Wave Equation ◽  
Plausible Theory

The object of this paper is to show that a plausible theory of the neutron can be developed from Dirac's wave equation without the use of any ad hoc assumptions. It is shown that the second order wave equation of the hydrogen atom, which exhibits the relativistic and spin corrections, possesses two sets of solutions "H" and "N" distinguished by their behaviour as r →0 ( r being the distance of the electron from the proton). The H-solutions are the accepted wave functions of the hydrogen atom. As r →0 these solutions tend to zero if the serial quantum number l differs from zero, and they become infinite of order r [(1 - a 2 ) 1/2 - 1] if l = 0 (α is the fine structure constant).

scholarly journals Golden Ratio Geometry and the Fine-Structure Constant

2019 ◽  
Vol 16 (1) ◽  
pp. 362-368
Author(s):  
Michael A. Sherbon
Keyword(s):  
Fine Structure ◽  
Hydrogen Atom ◽  
Electromagnetic Interaction ◽  
Golden Ratio ◽  
Structure Constant ◽  
Fine Structure Constant ◽  
Weak Force ◽  
Strong Force ◽  
Harmonic Proportions ◽  
Fundamental Forces

The golden ratio is found to be related to the fine-structure constant, which determines the strength of the electromagnetic interaction. The golden ratio and classical harmonic proportions with quartic equations give an approximate value for the inverse fine-structure constant the same as that discovered previously in the geometry of the hydrogen atom. With the former golden ratio results, relationships are also shown between the four fundamental forces of nature: electromagnetism, the weak force, the strong force, and the force of gravitation.

scholarly journals New Limit on Space-Time Variations in the Proton-to-Electron Mass Ratio from Analysis of Quasar J110325-264515 Spectra

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 344
Author(s):  
T. D. Le
Keyword(s):  
Fine Structure ◽  
Structure Constant ◽  
Space Time ◽  
Fine Structure Constant ◽  
Electron Mass ◽  
Mass Ratio ◽  
Quasar Spectra ◽  
Time Variations ◽  
Using Data ◽  
The Universe

Astrophysical tests of current values for dimensionless constants known on Earth, such as the fine-structure constant, α , and proton-to-electron mass ratio, μ = m p / m e , are communicated using data from high-resolution quasar spectra in different regions or epochs of the universe. The symmetry wavelengths of [Fe II] lines from redshifted quasar spectra of J110325-264515 and their corresponding values in the laboratory were combined to find a new limit on space-time variations in the proton-to-electron mass ratio, ∆ μ / μ = ( 0.096 ± 0.182 ) × 10 − 7 . The results show how the indicated astrophysical observations can further improve the accuracy and space-time variations of physics constants.

scholarly journals Measurement of the running of the fine structure constant below 1 GeV with the KLOE detector

2019 ◽  
Vol 218 ◽  
pp. 02012
Author(s):  
Graziano Venanzoni
Keyword(s):  
Fine Structure ◽  
Energy Region ◽  
Direct Evidence ◽  
Branching Ratio ◽  
Structure Constant ◽  
Fine Structure Constant ◽  
Recent Measurement ◽  
Single Measurement ◽  
Lepton Universality ◽  
Hadronic Contribution

I will report on the recent measurement of the fine structure constant below 1 GeV with the KLOE detector. It represents the first measurement of the running of α(s) in this energy region. Our results show a more than 5σ significance of the hadronic contribution to the running of α(s), which is the strongest direct evidence both in time-and space-like regions achieved in a single measurement. From a fit of the real part of Δα(s) and assuming the lepton universality the branching ratio BR(ω → µ+µ−) = (6.6 ± 1.4stat ± 1.7syst) · 10−5 has been determined

scholarly journals Fine structure constant and the CMB damping scale

2012 ◽  
Vol 85 (10) ◽  
Author(s):  
Eloisa Menegoni ◽  
Maria Archidiacono ◽  
Erminia Calabrese ◽  
Silvia Galli ◽  
C. J. A. P. Martins ◽  
...  
Keyword(s):  
Fine Structure ◽  
Structure Constant ◽  
Fine Structure Constant
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