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Related papers: Is the Bohr's quantization hypothesis necessary ?

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The time-dependent Schr\"odinger equation for atomic hydrogen in few-cycle laser pulses is solved numerically. Introducing a positive definite quantum distribution function in energy-position space, a straightforward comparison of the…

Atomic Physics · Physics 2009-11-11 D. Bauer

In this work we consider some consequences of the Bohr-Sommerfeld-Hansson (Old or quasi-classical) quantum theory of the Newtonian gravity, i.e. of the "gravitational atom". We prove that in this case (for gravitational central force and…

General Physics · Physics 2010-09-13 Vladan Pankovic , Darko V. Kapor

With the Higgs boson discovery and no new physics found at the LHC, confidence in Naturalness as a guiding principle for particle physics is under increased pressure. We wait to see if it proves its mettle in the LHC upgrades ahead, and…

High Energy Physics - Phenomenology · Physics 2013-05-16 James D. Wells

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

Starting from covariant expressions, a gauge independent separation of orbital and spin angular momentum for electrodynamics is presented. This results from the non-symmetric canonical energy momentum tensor of the electromagnetic field.…

Optics · Physics 2017-06-27 Richard T. Hammond

Newton's rotating bucket pours cold water on the naive relationalist by vividly illustrating how certain rotational effects, particularly those due to non-zero angular momentum, can depend on more than just relations between material…

History and Philosophy of Physics · Physics 2021-12-30 Henrique Gomes , Sean Gryb

By using perturbation theory, we show that a hydrogen atom with magnetic moment due to the orbital angular momentum of the electron has "hidden momentum" in the presence of an external electric field. This means that the atomic electronic…

Quantum Physics · Physics 2015-11-18 J. S. Oliveira Filho , Pablo L. Saldanha

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

The quantum theory of rotation angles (S. M. Barnett and D. T. Pegg, Phys. Rev. A, 41, 3427-3425 (1990)) is generalised to non-integer values of the orbital angular momentum. This requires the introduction of an additional parameter, the…

Quantum Physics · Physics 2009-11-13 J. B. Goette , S. Franke-Arnold , R. Zambrini , Stephen M. Barnett

We studied the orbit of an electron revolving around an infinitely massive nucleus of a large classical Hydrogen atom subject to an AC electric field oscillating perpendicular to the electron's circular orbit. Using perturbation theory in…

We illustrate a simple derivation of the Schrodinger equation, which requires only knowledge of the electromagnetic wave equation and the basics of Einstein's special theory of relativity. We do this by extending the wave equation for…

History and Philosophy of Physics · Physics 2007-05-23 David W. Ward , Sabine M. Volkmer

A simple methodical derivation for Landauer quantization of the conductivity is derived as a simple consequence of the Bohr quantization laws. The level of explanation corresponds to high-school level of Physics education and can be used as…

Physics Education · Physics 2007-05-23 T. M. Mishonov , M. V. Stoev

Schrodinger's equation predicts something very peculiar about the electron in the Hydrogen atom: its total energy must be equal to zero. Unfortunately, an analysis of a zero-energy wavefunction for the electron in the Hydrogen atom has not…

General Physics · Physics 2015-05-13 Ezzat G. Bakhoum

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

Closed-orbit theory provides a general approach to the semiclassical description of photo-absorption spectra of arbitrary atoms in external fields, the simplest of which is the hydrogen atom in an electric field. Yet, despite its apparent…

Chaotic Dynamics · Physics 2009-11-07 T. Bartsch , J. Main , G. Wunner

After summarizing three versions of trajectory-based quantum mechanics, it is argued that only the original formulation due to Bohm, which uses the Schr\"odinger wave function to guide the particles, can be readily extended to particles…

Quantum Physics · Physics 2015-03-18 Jeroen C. Vink

Recently [EPL, 86, (2009) 17001], we had simulated the classical Langevin dynamics of a charged particle on the surface of a sphere in the presence of an externally applied magnetic field, and found a finite value for the orbital…

Statistical Mechanics · Physics 2010-04-14 K. Vijay Kumar , N. Kumar

In a previous article [1] we presented an argument to obtain (or rather infer) Born's rule, based on a simple set of axioms named "Contexts, Systems and Modalities" (CSM). In this approach there is no "emergence", but the structure of…

Quantum Physics · Physics 2022-02-09 Alexia Auffeves , Philippe Grangier

An attempt to explain with the classical stands a number of statements of the quantum mechanics has been done. At this the Plank constant appears as consequence of demand of nucleon stability. Proton can be imagined as a rotating disk which…

General Physics · Physics 2010-10-12 L. A. Pobedonostsev

This simple analysis shows that photon-like particles are not strange within the conceptual framework of the classical electromagnetic field theory. Circular polarized waves lead to photons. Thus, light quantum hypothesis is not necessary.

Classical Physics · Physics 2007-05-23 Srecko Botric , Krunoslav Ljolje