Introduction to the Principles of Electromagnetism

Hauser, Walter; Grandy, Walter T.

doi:10.1119/1.1987559

Cited by 9 publications

(7 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…We must observe that with the use of the classical Coulomb potential this situation never occurs, the interaction force between the proton and the electron is always attractive. The acceleration due to the electric force being null at this position, eliminates the argument or defiance against the Classical Laws of the Electrodynamic that an electron revolving the nucleus of the atom, lose energy by radiation [8][9][10]. The force being null at the equilibrium position r 1 0 , means that the electron cannot be orbiting the nucleus of the atom as predicted by Bohr theory.…”

Section: A New Electric Interaction Microscopic Forcementioning

confidence: 99%

The Quantum Oscillatory Modulated Potential Ⅰ- The Hydrogen Atom

Filho¹

2012

JMP

View full text Add to dashboard Cite

In this work we are presenting a modified Coulomb potential function to describe the interaction between two microscopic electric charges. In particular, concerning the interaction between the proton and the electron in the hydrogen atom. The modified potential function is the product of the classical Coulomb potential and an oscillatory function dependent on a quantized phase factor. The oscillatory function picks up only selected points along the Coulomb potential, creating potential wells and barriers around the nucleus of the atom. The new potential reveals us new features of the hydrogen atom. Searching for a manner to determine the phase factor, we are using the concept of the de Broglie particle wavelike behavior and the quantum analogue of the virial theorem for describing the bound motion of a particle in a central force field. This procedure is a kind of feedback action, where we are making use of well established concepts of the quantum mechanics aiming to determine the phase factor of the new interaction potential.

show abstract

Section: A New Electric Interaction Microscopic Forcementioning

confidence: 99%

The Quantum Oscillatory Modulated Potential Ⅰ- The Hydrogen Atom

Filho¹

2012

JMP

View full text Add to dashboard Cite

show abstract

“…4 A small change in the contents of a cavity affects the resonant frequency of the cavity. For electromagnetic cavities the Bethe-Schwinger relation 5,6 gives an explicit connection between this frequency shift and the permittivity and permeability of the perturbing inclusion,…”

Section: Introductionmentioning

confidence: 99%

Mapping of normal modes by perturbation

Zypman

Bastuscheck

2008

American Journal of Physics

View full text Add to dashboard Cite

Exact non-Hookean scaling of cylindrically bent elastic sheets and the large-amplitude pendulum Am. J. Phys. 79, 657 (2011) The Cramster Conclusion Phys. Teach. 49, 291 (2011) Strain in layered zinc blende and wurtzite semiconductor structures grown along arbitrary crystallographic directions Am.To gain physical insight into the modes in a perturbed resonant system we investigate a mechanical cavity perturbed by an additional mass ͑inclusion͒. We solve the model exactly and determine the relation between the frequency shift and the inclusion size and location and show that it is possible to use the frequency shift due to a small inclusion to map the spatial distribution of eigenmodes. The relation is analogous to the Bethe-Schwinger expression for the frequency shifts of an electromagnetic mode in a cavity with perturbations.

show abstract

“…Two reports exist about this work. 2,3 However, the derivation is given by Walter Hauser, 4 who terms the expression for the fractional frequency shift the Bethe-Schwinger cavity perturbation formula.…”

mentioning

confidence: 99%

Tributes to Hans Bethe continue

Cruickshank

2006

Physics Today

View full text Add to dashboard Cite

Introduction to the Principles of Electromagnetism

Cited by 9 publications

References 0 publications

The Quantum Oscillatory Modulated Potential Ⅰ- The Hydrogen Atom

The Quantum Oscillatory Modulated Potential Ⅰ- The Hydrogen Atom

Mapping of normal modes by perturbation

Tributes to Hans Bethe continue

Contact Info

Product

Resources

About