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The precise position of a spectral line emitted by an atomic system depends on the mass of the atomic nucleus and is therefore different for isotopes belonging to the same element. The possible presence of an isotope effect followed from…

History and Philosophy of Physics · Physics 2011-12-13 Helge Kragh

The Norwegian physicist Lars Vegard may have been the first to propose electron configurations for all the chemical elements, from hydrogen to uranium, on the basis of quantum atomic theory. This he did in papers of 1918-1919 in which he…

History and Philosophy of Physics · Physics 2011-12-19 Helge Kragh

Motivated by a revision of the classical equations of electromagnetism that allow for the inclusion of solitary waves in the solution space, the material collected in these notes examines the consequences of adopting the modified model in…

General Physics · Physics 2019-09-27 Daniele Funaro

In Part I we constructed the Quantum Mechanics of a charged unitary entity and prescribed the form in which such a particle interacts with other charged particles and matter in general. In this second part we extend the description to the…

Quantum Physics · Physics 2025-01-29 Hernán Gustavo Solari , Mario Alberto Natiello

A brief account of the world view of classical physics is given first. We then recapitulate as to why the Copenhagen interpretation of the quantum mechanics had to renounce most of the attractive features of the clasical world view such as…

Quantum Physics · Physics 2008-05-16 Virendra Singh

In 1916 Einstein introduced the first rules for a quantum theory of electromagnetic radiation, and he applied them to a model of matter in thermal equilibrium with radiation to derive Planck's black-body formula. Einstein's treatment is…

Statistical Mechanics · Physics 2009-11-10 Michael Nauenberg

Niels Bohr successfully predicted in 1913 the energy levels for the hydrogen atom by applying certain quantization rules to classically obtained periodic orbits. Many physicists tried to apply similar methods to other atoms. In his…

Symplectic Geometry · Mathematics 2023-08-02 Kai Cieliebak , Urs Frauenfelder , Martin Schwingenheuer

We review the work and life of Otto Stern who developed the molecular beam technique and with its aid laid the foundations of experimental atomic physics. Among the key results of his research are: the experimental determination of the…

History and Philosophy of Physics · Physics 2015-05-30 J. Peter Toennies , Horst Schmidt-Böcking , Bretislav Friedrich , Julian C. A. Lower

Evidence is recalled of the strong opposition of Niels Bohr, at the time of the Old Quantum Theory 1.913-25, to the Lichtquanten hypothesis of Einstein. Some episodes with H.A. Kramers, J.C. Slater and W. Heisenberg are recollected; Bohr's…

History and Philosophy of Physics · Physics 2009-11-07 Luis J. Boya

In two respects Ludwig Boltzmann was a pioneer of quantum mechanics. First because in his statistical interpretation of the second law of thermodynamics he introduced the theory of probability into a fundamental law of physics and thus…

History and Philosophy of Physics · Physics 2007-05-23 D. Flamm

Superconductivity is macroscopic quantum phenomenon. From force of habit most physicists pay no heed to a paradoxicality of this fact. Niels Bohr considered quantum mechanics as atomic physics and the paradoxical quantum principles may be…

Superconductivity · Physics 2009-11-13 Alexey Nikulov

Describing the dynamics of nuclei in molecules requires a potential energy surface, which is traditionally provided by the Born-Oppenheimer or adiabatic approximation. However, we also need to assign masses to the nuclei. There, the…

Quantum Mechanics (QM) has faced deep controversies and debates since its origin when Werner Heisenberg proposed the first mathematical formalism capable to operationally account for what had been recently discovered as the new field of…

History and Philosophy of Physics · Physics 2020-09-02 Christian de Ronde

On the occasion of the birth centenary of the discovery of electron, I discuss its role in the area of Elementary Particle Physics. I emphasize that the discovery of electron marks the end of the speculation era lasting more than 2500…

Physics Education · Physics 2008-02-03 Avinash Khare

Atomistic simulations based on the first-principles of quantum mechanics are reaching unprecedented length scales. This progress is due to the growth in computational power allied with the development of new methodologies that allow the…

Materials Science · Physics 2021-05-19 Mariana Rossi

Heisenberg's breakthrough in his July 1925 paper that set in motion the development of Quantum Mechanics through subsequent papers by Born, Jordan, Heisenberg and also Dirac (from 1925 to 1927) is reexamined through a modern lens. In this…

Quantum Physics · Physics 2023-08-09 Tuck C. Choy

The mathematical study of vortices began with Herman von Helmholtz's pioneering study in 1858. It was pursued vigorously over the next two decades, largely by British physicists and mathematicians, in two contexts: Maxwell's vortex analogy…

History and Overview · Mathematics 2019-06-04 Isobel Falconer

The atom's orbital electron structure in terms of quantum numbers (principal, azimuthal, magnetic and spin) results in space for a maximum of: 2 electrons in the n=1 orbit, 8 electrons in the n=2 orbit, 18 electrons in the n=3 orbit, and so…

General Physics · Physics 2007-05-23 Roger Ellman

In 1907, Einstein suggested an experiment with flying atoms for corroborating time dilation. In that paper, the flying atom was conceived as a flying clock: the reference to the Doppler effect was only indirect (the experiments by Stark to…

History and Philosophy of Physics · Physics 2015-02-23 Giuseppe Giuliani

Technologies for manipulating single atoms have advanced drastically in the past decades. Due to their excellent controllability of internal states, atoms serve as one of the ideal platforms as quantum systems. One major research direction…

Atomic Physics · Physics 2026-01-01 Akio Kawasaki