Quantum Mechanics of the Hydrogen Atom

2000 ◽  
pp. 153-170
Author(s):  
Hermann Haken ◽  
Hans Christoph Wolf
Keyword(s):  
Quantum Mechanics ◽  
Hydrogen Atom

Twinkle, Twinkle Little Star

2019 ◽  
pp. 46-53
Author(s):  
Nicholas Mee
Keyword(s):  
Nineteenth Century ◽  
Quantum Mechanics ◽  
Chemical Composition ◽  
Hydrogen Atom ◽  
Periodic Table ◽  
Chemical Properties ◽  
Spectral Lines ◽  
Exclusion Principle ◽  
Middle Years ◽  
Absorption Of Light

The emission and absorption of light by atoms produces discrete sets of spectral lines that were a vital clue to unravelling the structure of atoms and their elucidation was an important step towards the development of quantum mechanics. In the middle years of the nineteenth century Bunsen and Kirchhoff discovered that spectral lines can be used to determine the chemical composition of stars. Following Rutherford’s discovery of the nucleus, Bohr devised a model of the hydrogen atom that explained the spectral lines that it produces. His work was developed further by Pauli, who postulated the exclusion principle in order to explain the structure of other types of atom. This enabled him to explain the layout of the Periodic Table and the chemical properties of the elements.

Quantum Mechanics of the Hydrogen Atom

1987 ◽  
pp. 145-162
Author(s):  
Hermann Haken ◽  
Hans Christoph Wolf
Keyword(s):  
Quantum Mechanics ◽  
Hydrogen Atom

scholarly journals Previously Unknown Physical Formulas which Hold in a Hydrogen Atom and are Derived without Using Quantum Mechanics

2017 ◽  
Vol 9 (4) ◽  
pp. 7
Author(s):  
Koshun Suto
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Hydrogen Atom ◽  
Physical Science ◽  
Classical Quantum ◽  
Physical Quantities

It is thought that quantum mechanics is the physical science describing the behavior of the electron in the micro world, e.g., inside a hydrogen atom. However, the author has previously derived the energy-momentum relationship which holds inside a hydrogen atom. This paper uses that relationship to investigate the relationships between physical quantities which hold in a hydrogen atom. In this paper, formulas are derived which hold in the micro world and make more accurate predictions than the classical quantum theory. This paper concludes that quantum mechanics is not the only theory enabling investigation of the micro world.

scholarly journals LAMB SHIFT AND STARK EFFECT IN SIMULTANEOUS SPACE–SPACE AND MOMENTUM–MOMENTUM NONCOMMUTATIVE QUANTUM MECHANICS AND θ-DEFORMED su(2) ALGEBRA

2007 ◽  
Vol 22 (05) ◽  
pp. 377-383 ◽  
Author(s):  
S. A. ALAVI
Keyword(s):  
Quantum Mechanics ◽  
Hydrogen Atom ◽  
Lamb Shift ◽  
Stark Effect ◽  
Identical Particles ◽  
Noncommutative Quantum Mechanics ◽  
The One ◽  
Noncommutative Quantum

We study the spectrum of hydrogen atom, Lamb shift and Stark effect in the framework of simultaneous space–space and momentum–momentum (s-s, p-p) noncommutative quantum mechanics. The results show that the widths of Lamb shift due to noncommutativity is bigger than the one presented in Ref. 1. We also study the algebras of observables of systems of identical particles in s-s, p-p noncommutative quantum mechanics. We introduce θ-deformed su(2) algebra.

scholarly journals Non-Hermitian Hamiltonian Treatment of Stark Effect in Quantum Mechanics

2020 ◽  
Vol 4 (6) ◽  
pp. 427-435
Author(s):  
Randal Hallford ◽  
Preet Sharma
Keyword(s):  
Perturbation Theory ◽  
Quantum Mechanics ◽  
Hydrogen Atom ◽  
Spherical Harmonics ◽  
Full Text ◽  
Stark Effect ◽  
Fundamental Level ◽  
Natural Processes

The Non-Hermitian aspect of Quantum Mechanics has been of great interest recently. There have been numerous studies on non-Hermitian Hamiltonians written for natural processes. Some studies have even expressed the hydrogen atom in a non-Hermitian basis. In this paper the principles of non-Hermitian quantum mechanics is applied to both the time independent perturbation theory and to the time dependant theory to calculate the Stark effect. The principles of spherical harmonics has also been used to describe the development in the non-Hermitian case. Finally, the non-Hermitian aspect has been introduced to the well known Stark effect in quantum mechanics to find a condition in which the Stark effect will still be true even if a non-Hermitian Hamiltonian is used. This study completes the understanding at a fundamental level to understand the well known Stark effect. Doi: 10.28991/esj-2020-01242 Full Text: PDF

scholarly journals The Magnetism from the Movement of Electron in Hydrogen Atom

2021 ◽  
pp. 34-40
Author(s):  
Wei-Xing Xu
Keyword(s):  
Quantum Mechanics ◽  
Hydrogen Atom ◽  
Electron Spin ◽  
Intrinsic Property ◽  
Relativity Effect

In this work we calculated the magnetism from the movement of electron in hydrogen atom and found that the contributions from the electron in the same main quantum levels to the magnetism of the hydrogen atom are the same; but the contributions from the electron in different main quantum levels to the magnetism of the hydrogen atom are the eigenvalue dependent instead. These facts tell us that the concepts about “intrinsic property” and “relativity effect” of electron spin should be discarded, and accordingly, the quantum mechanics should be rebuilt.

On the missing anisotropic space inside atoms in quantum mechanics

2021 ◽  
Vol 34 (3) ◽  
pp. 351-365
Author(s):  
W. Guglinski
Keyword(s):  
Quantum Mechanics ◽  
Hydrogen Atom ◽  
Energy Level ◽  
Electron Motion ◽  
Anisotropic Space ◽  
Successful Result ◽  
The Real ◽  
Experimental Values ◽  
Schrödinger's Equation ◽  
Fundamentals Of Quantum Mechanics

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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