scholarly journals On the Interaction of the Electron with the Vacuum Fluctuations of Electromagnetic Field

2021 ◽  
Author(s):  
Xiaowen Tong
Keyword(s):  
Electromagnetic Field ◽  
Hydrogen Atom ◽  
Interaction Energy ◽  
Vacuum Fluctuations ◽  
New Approach

A new approach is proposed for evaluating the interaction energy between the electron and the vacuum fluctuations of electromagnetic field. It is applied to two cases: when the electron is free and when it is in a potential-a hydrogen atom. The results are consistent with previous relevant treatments of people.

scholarly journals On the Interaction of the Electron with the Vacuum Fluctuations of Electromagnetic Field

2021 ◽  
Author(s):  
Xiaowen Tong
Keyword(s):  
Electromagnetic Field ◽  
Hydrogen Atom ◽  
Interaction Energy ◽  
Vacuum Fluctuations ◽  
New Approach

A new approach is proposed for evaluating the interaction energy between the electron and the vacuum fluctuations of electromagnetic field. It is applied to two cases: when the electron is free and when it is in a potential-a hydrogen atom. The results are consistent with previous relevant treatments of people.

scholarly journals The Role of Vacuum Fluctuations and Symmetry in the Hydrogen Atom in Quantum Mechanics and Stochastic Electrodynamics

Atoms ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 39
Author(s):  
G. Maclay
Keyword(s):  
Electromagnetic Field ◽  
Hydrogen Atom ◽  
Casimir Effect ◽  
Classical Mechanics ◽  
Zero Point ◽  
Radiation Reaction ◽  
Quantum Mechanical ◽  
Vacuum Fluctuations ◽  
Stochastic Electrodynamics

Stochastic Electrodynamics (SED) has had success modeling black body radiation, the harmonic oscillator, the Casimir effect, van der Waals forces, diamagnetism, and uniform acceleration of electrodynamic systems using the stochastic zero-point fluctuations of the electromagnetic field with classical mechanics. However the hydrogen atom, with its 1/r potential remains a critical challenge. Numerical calculations have shown that the SED field prevents the electron orbit from collapsing into the proton, but, eventually the atom becames ionized. We look at the issues of the H atom and SED from the perspective of symmetry of the quantum mechanical Hamiltonian, used to obtain the quantum mechanical results, and the Abraham-Lorentz equation, which is a force equation that includes the effects of radiation reaction, and is used to obtain the SED simulations. We contrast the physical computed effects of the quantized electromagnetic vacuum fluctuations with the role of the real stochastic electromagnetic field.

scholarly journals The Quaternionic Commutator Bracket and Its Implications

Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 513 ◽  
Author(s):  
Arbab Arbab ◽  
Mudhahir Al Ajmi
Keyword(s):  
Wave Function ◽  
Electromagnetic Field ◽  
Angular Momentum ◽  
Charged Particle ◽  
Magnetic Fields ◽  
Interaction Energy ◽  
Internal Structure ◽  
Magnetic Moments ◽  
Electric And Magnetic Fields ◽  
Aharonov Bohm

A quaternionic commutator bracket for position and momentum shows that the quaternionic wave function, viz. ψ ˜ = ( i c ψ 0 , ψ → ) , represents a state of a particle with orbital angular momentum, L = 3 ℏ , resulting from the internal structure of the particle. This angular momentum can be attributed to spin of the particle. The vector ψ → , points in an opposite direction of L → . When a charged particle is placed in an electromagnetic field, the interaction energy reveals that the magnetic moments interact with the electric and magnetic fields giving rise to terms similar to Aharonov–Bohm and Aharonov–Casher effects.

scholarly journals New Approach to Study Stimulating Effect of the Pre-Sowing Barley Seeds Treatment in the Electromagnetic Field

2018 ◽  
Vol 18 (2) ◽  
pp. 197-207 ◽  
Author(s):  
Aliya S. Kasakova ◽  
Igor V. Yudaev ◽  
Michael G. Fedorishchenko ◽  
Svetlana Yu. Mayboroda ◽  
Nikolay V. Ksenz ◽  
...  
Keyword(s):  
Electromagnetic Field ◽  
New Approach

scholarly journals DISPERSION INTERACTION OF ATOMS WITH SINGLE-WALLED CARBON NANOTUBES DESCRIBED BY THE DIRAC MODEL

2011 ◽  
Vol 03 ◽  
pp. 555-563 ◽  
Author(s):  
YU. V. CHURKIN ◽  
A. B. FEDORTSOV ◽  
G. L. KLIMCHITSKAYA ◽  
V. A. YUROVA
Keyword(s):  
Carbon Nanotubes ◽  
Hydrogen Atom ◽  
Interaction Energy ◽  
Hydrogen Molecule ◽  
Single Walled Carbon Nanotubes ◽  
Hydrogen Atoms ◽  
Single Walled Carbon ◽  
Atoms And Molecules ◽  
Proximity Force Approximation ◽  
Walled Carbon Nanotubes

We calculate the interaction energy and force between atoms and molecules and single-walled carbon nanotubes described by the Dirac model of graphene. For this purpose the Lifshitz-type formulas adapted for the case of cylindrical geometry with the help of the proximity force approximation are used. The results obtained are compared with those derived from the hydrodymanic model of graphene. Numerical computations are performed for hydrogen atoms and molecules. It is shown that the Dirac model leads to larger values of the van der Waals force than the hydrodynamic model. For a hydrogen molecule the interaction energy and force computed using both models are larger than for a hydrogen atom.

scholarly journals Protecting quantum coherence of two-level atoms from vacuum fluctuations of electromagnetic field

2016 ◽  
Vol 366 ◽  
pp. 102-112 ◽  
Author(s):  
Xiaobao Liu ◽  
Zehua Tian ◽  
Jieci Wang ◽  
Jiliang Jing
Keyword(s):  
Electromagnetic Field ◽  
Quantum Coherence ◽  
Vacuum Fluctuations

scholarly journals Unified Theory of Electrons and Photons in Heavy Ion Collisions

1980 ◽  
Vol 35 (6) ◽  
pp. 579-589 ◽  
Author(s):  
Johannes Kirsch
Keyword(s):  
Electromagnetic Field ◽  
Heavy Ion Collisions ◽  
Matrix Theory ◽  
Heavy Ion ◽  
Unified Theory ◽  
Electron Systems ◽  
New Approach ◽  
Ion Collisions ◽  
S Matrix ◽  
Molecular Radiation

We present a unified formulation of the interaction of electrons with the electromagnetic field in heavy ion collisions, based on quantized interacting fields. This reduces the effort in treating many-electron systems substantially, as compared with the usual S-matrix theory. Both formalisms are shown to be equivalent. The simplification achieved by our new approach is demonstrated in detail for the example of quasi-molecular radiation

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