Exact solution to the classical equation of motion for a charged particle in external electric and magnetic fields

2002 ◽  
Vol 65 (6) ◽  
pp. 1019-1022 ◽  
Author(s):  
A. A. Donkov ◽  
A. D. Donkov ◽  
E. I. Grancharova
Keyword(s):  
Exact Solution ◽  
Charged Particle ◽  
Magnetic Fields ◽  
Classical Equation ◽  
Equation Of Motion ◽  
Electric And Magnetic Fields

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.

A charged particle in perpendicular electric and magnetic fields

Resonance ◽  
2016 ◽  
Vol 21 (11) ◽  
pp. 1043-1045 ◽  
Author(s):  
B. A. Bhargava ◽  
Adithi Udupa ◽  
P. Jayanth Vyasanakere
Keyword(s):  
Charged Particle ◽  
Magnetic Fields ◽  
Electric And Magnetic Fields

Spatiotemporal Characteristics of Charged-Particle Swarms in Orthogonal Electric and Magnetic Fields

2011 ◽  
Vol 39 (11) ◽  
pp. 2566-2567 ◽  
Author(s):  
Zoran M. Raspopovic ◽  
Saša Dujko ◽  
Ronald D. White ◽  
Zoran Lj. Petrovic
Keyword(s):  
Charged Particle ◽  
Magnetic Fields ◽  
Particle Swarms ◽  
Spatiotemporal Characteristics ◽  
Electric And Magnetic Fields
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