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We study the Hydrogen atom as a quantum mechanical system with a Coulomb like potential, with a semiclassical approach based on an effective description of quantum mechanics. This treatment allows us to describe the quantum state of the…

Quantum Physics · Physics 2012-03-23 Guillermo Chacón-Acosta , Héctor H. Hernández

We analyze the quantum states of two atoms in a combined harmonic oscillator and periodic lattice trap in one spatial dimension. In the case of tight-binding and only nearest neighbor tunneling, the equations of motion are conveniently…

Quantum Gases · Physics 2016-11-11 Ole Søe Sørensen , Klaus Mølmer

In this work, we refine the Bohr model of the hydrogen atom by describing the motion of the electron through a single real-valued stochastic process, effectively realizing Brownian motion under the Born rule. Our approach derives the…

Quantum Physics · Physics 2025-02-25 Vasil Yordanov

The standard quantum mechanical electronic state calculations for molecules and solids uses the Schroedinger representation where the momentum conjugate to the coordinate $q_r$ is given by $-hbar {partial over {partial q_r}}$. This…

Superconductivity · Physics 2022-09-07 Hiroyasu Koizumi

The quantum theory of Bohr has roots in the theories of Rutherford and J. J. Thomson on the one hand, and that of Nicholson on the other. We note that Bohr neither presented the theories of Rutherford and Thomson faithfully, nor did he…

History and Philosophy of Physics · Physics 2014-06-27 Giora Hon , Bernard R. Goldstein

On the occasion of centenary of superconductivity discovery I recall some facts from the first period and attempts to understand the phenomenon. It turns out that most famous physicists of the first half of XX century have tried to solve…

History and Philosophy of Physics · Physics 2023-07-19 Karol I. Wysokinski

The emergence of quantum theory in the early decades of the twentieth century was accompanied by a wide range of popular science books, all of which presented in words and in images new scientific ideas about the structure of the atom. The…

History and Philosophy of Physics · Physics 2011-12-13 Helge Kragh , Kristian Hvidtfelt Nielsen

A continuously monitored quantum system prepared in an excited state will decay to its ground state with an abrupt jump. The jump occurs stochastically on a characteristic time scale T1, the lifetime of the excited state. These quantum…

Mesoscale and Nanoscale Physics · Physics 2011-03-15 R. Vijay , D. H. Slichter , I. Siddiqi

It has been shown that black holes can be quantized by using Bohr's idea of quantizing the motion of an electron inside the atom. We apply these ideas to the universe as a whole. This approach reinforces the suggestion that it may be a way…

General Physics · Physics 2012-01-17 Màrius Josep Fullana i Alfonso , Antonio Alfonso-Faus

So-called hidden variables introduced in quantum mechanics by de Broglie and Bohm have changed their initial enigmatic meanings and acquired quite reasonable outlines of real and measurable characteristics. The start viewpoint was the…

Quantum Physics · Physics 2007-05-23 Volodymyr Krasnoholovets

Quantum mechanics describes successfully numerous quantum phenomena both microscopic and macroscopic, such as superconductivity. But the controversies about quantum mechanics, in the old days and present day, reveal fundamental obscurity in…

History and Philosophy of Physics · Physics 2013-11-20 Alexey Nikulov

To understand the foundations of quantum mechanics, we have to think carefully about how theoretical concepts are rooted in -- and limited by -- the nature of experience, as Bohr attempted to show. Geometrical pictures of physical phenomena…

Quantum Physics · Physics 2007-05-23 Doug Bilodeau

Inspired by Bohr's dictum that "physical phenomena are observed relative to different experimental setups", this article investigates the notion of relativity in Bohr's sense, starting from a set of binary elements. The most general form of…

High Energy Physics - Theory · Physics 2007-05-23 W. Smilga

The concept of the order parameter is extremely useful in physics. Here, I discuss extensions of this concept to cases when the order parameter is no longer a constant but fluctuates or oscillates in space and time. This allows one to…

Strongly Correlated Electrons · Physics 2019-12-20 Konstantin B. Efetov

The procedure used to "do physics" in the macroscopic world is familiar: You take an object, start it off with a particular position and velocity, subject it to known forces (say gravity or friction, or both), and follow its trajectory. You…

History and Philosophy of Physics · Physics 2018-10-01 M. A. Reynolds

The reality of Bohm's intellectual journey is very different from what is often claimed by the proponents of "Bohmian Mechanics" and others as we will explain in this paper. He did not believe a mechanical explanation of quantum phenomena…

Quantum Physics · Physics 2013-03-26 B. J. Hiley

Bohmian mechnaics is the most naively obvious embedding imaginable of Schr\"odingers's equation into a completely coherent physical theory. It describes a world in which particles move in a highly non-Newtonian sort of way, one which may at…

Quantum Physics · Physics 2016-08-16 Detlef Dürr , Sheldon Goldstein , Nino Zangh\`ı

The following is a translation of the paper by Walther Gerlach and Otto Stern that reported the first evidence for the quantisation of atoms in a magnetic field. The atoms have quantum states corresponding to a limited number of possible…

History and Philosophy of Physics · Physics 2023-01-30 Martin Bauer

Hydrogen atom is studied as a quantum-classical hybrid system, where the proton is treated as a classical object while the electron is regarded as a quantum object. We use a well known mean-field approach to describe this hybrid hydrogen…

Quantum Physics · Physics 2013-09-24 Fei Zhan , Biao Wu

A non-moving electron hydrogen model is proposed, resolving a long standing contradiction (94 years) in the hydrogen atom. This, however, forces to not use the "in an orbit point particle kinetic energy" as the phenomenon responsible for…

General Physics · Physics 2007-05-23 Omar Yepez