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Relevant bibliographies by topics / Explanation of the spectrum of hydrogen atom on the basis of quantum mechanics

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Academic literature on the topic 'Explanation of the spectrum of hydrogen atom on the basis of quantum mechanics'

Author: Grafiati

Published: 5 June 2025

Last updated: 2 August 2025

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Journal articles on the topic "Explanation of the spectrum of hydrogen atom on the basis of quantum mechanics"

1

Oks, Eugene. "Two Flavors of Hydrogen Atoms: A Possible Explanation of Dark Matter." Atoms 8, no. 3 (2020): 33. http://dx.doi.org/10.3390/atoms8030033.

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In one of our previous papers, it was shown that for the ground state of hydrogenic atoms/ions, it is possible to match the interior (inside the nucleus) solution of the Dirac equation with the singular exterior solution of the Dirac equation, so that the singular solution should not be rejected for the ground state of hydrogenic atoms/ions. In that paper, there was presented also the first experimental proof of the existence of this Alternative Kind of Hydrogen Atoms (AKHA)—by showing that the presence of the AKHA solves a long-standing mystery of the huge discrepancy between the experimental

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2

Zeng, Jiqing. "Classical physical mechanism of quantum production and its explanation for hydrogen atom structure and photoelectric effect." Physics Essays 34, no. 4 (2021): 529–37. http://dx.doi.org/10.4006/0836-1398-34.4.529.

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In this paper, the problems existing in the concepts of Planck's energy element and Einstein's light quantum are analyzed, and the alternate concept of quantum and a new concept of electron transition power were proposed. This paper clarifies the common misunderstanding in classical electromagnetics that the electron will radiate electromagnetic wave when it moves around the nucleus in a uniform circular motion and points out that the electron will radiate and absorb electromagnetic waves only when it moves around the nucleus in an accelerated or decelerated motion with a change of frequency a

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3

Lixin, Yuan. "Discussion on the Problems of Bohr’s Hydrogen Atom Theory in Basic Theory." Applied Science and Innovative Research 7, no. 2 (2023): p18. http://dx.doi.org/10.22158/asir.v7n2p18.

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According to the charge momentum and charge kinetic energy, it is proved that the key problem of the basic theory of Bohr hydrogen atom is that equation does not hold. For the same electron of the hydrogen atom, the left side of the equation is the mechanical kinetic energy, the right side of the equation is the charge energy, the fundamental properties and the concept of energy are split. Based on experiments, this paper analyzes and calculates the combined energy of hydrogen, lithium and oxygen atoms, hydrogen atom radius and the ground state energy of hydrogen atom are obtained. This ground

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4

ROSA, LUIGI, and PATRIZIA VITALE. "ON THE ⋆-PRODUCT QUANTIZATION AND THE DUFLO MAP IN THREE DIMENSIONS." Modern Physics Letters A 27, no. 35 (2012): 1250207. http://dx.doi.org/10.1142/s0217732312502070.

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We analyze the ⋆-product induced on ℱ(ℝ3) by a suitable reduction of the Moyal product defined on ℱ(ℝ4). This is obtained through the identification ℝ3≃𝔤*, with 𝔤 a three-dimensional Lie algebra. We consider the 𝔰𝔲(2) case, exhibit a matrix basis and realize the algebra of functions on 𝔰𝔲(2)* in such a basis. The relation to the Duflo map is discussed. As an application to quantum mechanics we compute the spectrum of the hydrogen atom.

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5

Maclay, G. Jordan. "Dynamical Symmetries of the H Atom, One of the Most Important Tools of Modern Physics: SO(4) to SO(4,2), Background, Theory, and Use in Calculating Radiative Shifts." Symmetry 12, no. 8 (2020): 1323. http://dx.doi.org/10.3390/sym12081323.

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Understanding the hydrogen atom has been at the heart of modern physics. Exploring the symmetry of the most fundamental two body system has led to advances in atomic physics, quantum mechanics, quantum electrodynamics, and elementary particle physics. In this pedagogic review, we present an integrated treatment of the symmetries of the Schrodinger hydrogen atom, including the classical atom, the SO(4) degeneracy group, the non-invariance group or spectrum generating group SO(4,1), and the expanded group SO(4,2). After giving a brief history of these discoveries, most of which took place from 1

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6

Zorin, Alexander V., Mikhail D. Malykh, and Leonid A. Sevastianov. "Complex eigenvalues in Kuryshkin-Wodkiewicz quantum mechanics." Discrete and Continuous Models and Applied Computational Science 30, no. 2 (2022): 139–48. http://dx.doi.org/10.22363/2658-4670-2022-30-2-139-148.

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One of the possible versions of quantum mechanics, known as Kuryshkin-Wodkiewicz quantum mechanics, is considered. In this version, the quantum distribution function is positive, but, as a retribution for this, the von Neumann quantization rule is replaced by a more complicated rule, in which an observed value AA is associated with a pseudodifferential operator O^(A){\hat{O}(A)}. This version is an example of a dissipative quantum system and, therefore, it was expected that the eigenvalues of the Hamiltonian should have imaginary parts. However, the discrete spectrum of the Hamiltonian of a hy

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7

Otor, D. Abi, V. Tikyaa Emmanuel, A. Augustine Gundu, B. Vincent Gurgur, S. Emmanuel Nyiyongo, and D. Solomon Igba. "Thermal and atomic properties of hydrogen atom and diatomic molecules in Wilson-Racah Quantum System." Applied Journal of Physical Science 5, no. 1 (2023): 1–16. http://dx.doi.org/10.31248/ajps2022.081.

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In this study, a conventional quantum mechanics in which the potential function is not specified but replaced by specifying four parameters Wilson-Racah orthogonal polynomials in the energy and physical parameter space was presented. The wave function is written as a bounded sum of elements of a complete basis with these polynomials as expansion coefficients. By finding the asymptotic of these Wilson – Racah polynomials, the physical properties of the corresponding system (wave function, bound state energy spectrum and/or scattering phase shift) was obtained. Wilson – Racah quantum system was

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8

Mislidinov, Baxtiyor Zaynidinovich. "METHODOLOGY OF DEVELOPING STUDENTS' INFORMATION TECHNOLOGY COMPETENCES BASED ON THE USE OF DIGITAL TECHNOLOGIES IN TEACHING PHYSICS IN TECHNICAL HEIS." May 29, 2023. https://doi.org/10.5281/zenodo.7981746.

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<em>The Schrodinger equation for the motion of microparticles in spherical symmetric potential field, the hydrogen atom: quantum numbers, energy spectrum, orbital impulse momentum and its spatial quantization, the selection rule for quantum transitions in simulator programs to expand the quantum mechanical imagination of students of higher education institutions. Radiation spectrum of hydrogen atoms. The width of the surfaces is modeled and the advantages of the developments and the methodology of using them are highlighted in this article</em>

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9

Adham, Raxmatillayevich Turgunov. "IMPROVING THE METHODOLOGY FOR ENSURING CONTINUITY OF SCIENTIFIC APPROACHES IN TEACHING ATOMIC NUCLEAR PHYSICS." May 29, 2023. https://doi.org/10.5281/zenodo.7982026.

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<em>The Schrodinger equation for the motion of microparticles in spherical symmetric potential field, the hydrogen atom: quantum numbers, energy spectrum, orbital impulse momentum and its spatial quantization, the selection rule for quantum transitions in simulator programs to expand the quantum mechanical imagination of students of higher education institutions. Radiation spectrum of hydrogen atoms. The width of the surfaces is modeled and the advantages of the developments and the methodology of using them are highlighted in this article.</em>

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10

SU.LIHONG. "Explaining the quantum mechanism of hydrogen spectrum by the Fourier series energy field formula." January 16, 2019. https://doi.org/10.5281/zenodo.2541248.

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In the previous paper, we gave a new Fourier series expression of the relativistic equation mass-velocity relation.  According to the matter wave theory, a new quantum mechanism explanation of quantum tunneling effect, hydrogen atom spectrum and other experimental phenomena is given by using the energy field formula of quantum mechanics in the form of Fourier series. It is deduced that the classical Rydberg formula is only an approximate simplified form of our new formula. Compared with the traditional quantum mechanics theory and formula, its mathematical logic is more perfect, simpler a

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