Energy level splitting of a 2D hydrogen atom with Rashba coupling in non-commutative space

2020 ◽  
Vol 72 (12) ◽  
pp. 125101
Author(s):  
S Aghababaei ◽  
G Rezaei
1979 ◽  
Vol 16 (1) ◽  
pp. 17-25
Author(s):  
S. Middelhoek ◽  
W. S. M. Beke

A description is given of a lecture demonstration of energy level splitting in the hydrogen molecule. The demonstration is based on the electrical analogue of two coupled resonant circuits. Coupling occurs by mutual inductance. The relevant differential equations describing the hydrogen atom and the tuned circuits are also presented.


2015 ◽  
Vol 5 (01) ◽  
pp. 39 ◽  
Author(s):  
H. Torres-Silva ◽  
J. López-Bonilla ◽  
R. López-Vázquez ◽  
J. Rivera-Rebolledo

<p>The original Weber action at a distance theory is valid for slowly varying effects, and it in addition to predicting all of the usual electrodynamical results, leads to crucial effects where the Maxwell theory fails. The Weber’s approach is an alternative to <a title="Maxwell's Equations" href="http://en.wikipedia.org/wiki/Maxwell%27s_Equations">Maxwell electrodynamics</a>, where the <a title="Coulomb's Law" href="http://en.wikipedia.org/wiki/Coulomb%27s_Law">Coulomb's law</a> becomes velocity dependent [1-6]. Here we prove that the Weber’s theory gives the fine structure energy level splitting for the hydrogen atom without the assumption of mass change with velocity.</p>


2018 ◽  
Vol 58 (2) ◽  
pp. 1058-1066 ◽  
Author(s):  
Meng Ju ◽  
MingMin Zhong ◽  
Cheng Lu ◽  
Yau-yuen Yeung

1985 ◽  
Vol 151 (2-3) ◽  
pp. L145-L152 ◽  
Author(s):  
M. Chiesa ◽  
L. Mattera ◽  
R. Musenich ◽  
C. Salvo

1992 ◽  
Vol 81 (4) ◽  
pp. 367-369 ◽  
Author(s):  
Thomas Baby ◽  
V.P.N. Nampoori
Keyword(s):  

2021 ◽  
Vol 34 (3) ◽  
pp. 351-365
Author(s):  
W. Guglinski

Schrödinger developed his famous equation from the standard wavelength. However, as demonstrated here, inside the atom, the electron does not move according to de Broglie-Einstein’s postulate λ = h/p, because the wavelength of the electron’s motion varies with the distance to the nucleus. Therefore, Schrödinger’s equation does not quantify the real electron’s motion in atoms. Here, the equation of a variable wavelength for electron motion inside atoms is introduced. The calculation, applied to the hydrogen atom, achieves energy level values very close to the experimental values. This successful result can provide a deeper understanding of the behavior of electrons in atoms and improve the fundamentals of quantum mechanics (QM). However, beyond the question concerning the postulate λ = h/p, two other fundamental principles may be missing in modern QM, and they are: an anisotropic space inside atoms and a motion of the electron through a helical trajectory.


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