Quantum mass of an electron in the hydrogen atom derived from the relativistically modified Schrödinger equation

2020 ◽  
Vol 33 (3) ◽  
pp. 355-357
Author(s):  
Noboru Kohiyama
Keyword(s):  
Electromagnetic Wave ◽  
Hydrogen Atom ◽  
Schrödinger Equation ◽  
Free Electron ◽  
Schrodinger Equation ◽  
Photon Emission ◽  
X Rays ◽  
Frequency Condition

In Bohr's theory, the photon emission or absorption by the hydrogen atom is expressed by the frequency condition. In the hydrogen atom, the eigenvalue of energy derived from the relativistically modified Schrödinger equation contains the quantum mass of an electron. The frequency condition is explained using this mass. The electromagnetic wave (e.g., X rays) emission from the highly accelerated free electron was thus predicted from this mass.

Theory of electromagnetic wave (≥1 mm) emission and absorption by the hydrogen atom derived from the relativistically modified Schrödinger equation

2020 ◽  
Vol 33 (2) ◽  
pp. 114-117
Author(s):  
Noboru Kohiyama
Keyword(s):  
Electromagnetic Wave ◽  
Hydrogen Atom ◽  
Dirac Equation ◽  
Schrödinger Equation ◽  
Schrodinger Equation

The relativistically modified Schrödinger equation is solved for the hydrogen atom for consistency with the eigenvalues of electron’s energy derived from the Dirac equation. Based on the consistency of their eigenvalues, the theory of electromagnetic wave (≥1 mm) emission and absorption by the hydrogen atom is expressed. Another particle in addition to an electron is predicted from this theory.

scholarly journals Hénon–Heiles interaction for hydrogen atom in phase space

2016 ◽  
Vol 31 (10) ◽  
pp. 1650046 ◽  
Author(s):  
J. S. da Cruz Filho ◽  
R. G. G. Amorim ◽  
S. C. Ulhoa ◽  
F. C. Khanna ◽  
A. E. Santana ◽  
...  
Keyword(s):  
Phase Space ◽  
Hydrogen Atom ◽  
Schrödinger Equation ◽  
Gauge Invariance ◽  
Schrodinger Equation ◽  
Physical Basis

Using elements of symmetry, as gauge invariance, several aspects of a Schrödinger equation represented in phase space are introduced and analyzed under physical basis. The hydrogen atom is explored in the same context. Then we add a Hénon–Heiles potential to the hydrogen atom in order to explore chaotic features.

scholarly journals COMPUTING THE COMPLEX RADIUS DEPENDENCY AND THE TWO ANGLES VERSUS TIME IN THE HYDROGEN ATOM

2021 ◽  
Vol 7 (2(38)) ◽  
pp. 21-24
Author(s):  
Evgeny Georgievich Yakubovsky
Keyword(s):  
Hydrogen Atom ◽  
Kinetic Energy ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Electrical Energy ◽  
Total Kinetic Energy ◽  
Definition Of

Using the definition of the velocity of vacuum particles or streamlines from the Schrödinger equation, it was possible to determine the dependence of the radius and two angles on time. In the general case, several complex values of the radius and two angles were obtained as a function of time. But using continuous coordinates, it was possible to determine the change in the complex radius and two angles for the hydrogen atom. The resulting total kinetic energy of the atom differs from its own electrical energy, which provides the radiation of the atom.

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