Exact Motion of a Charged Particle in an Arbitrary Plane Wave Propagating along a Constant Homogeneous Magnetic Field

1969 ◽  
Vol 12 (10) ◽  
pp. 2206 ◽  
Author(s):  
Egil Leer
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Plane Wave ◽  
Homogeneous Magnetic Field ◽  
Arbitrary Plane

scholarly journals Investigation of a Spin-0 Massive Charged Particle Subject to a Homogeneous Magnetic Field with Potentials in a Topologically Trivial Flat Class of Gödel-Type Space-Time

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Quantum Dynamics ◽  
Relativistic Quantum ◽  
Homogeneous Magnetic Field ◽  
Space Time ◽  
Type Space ◽  
Vector Potentials ◽  
Klein Gordon ◽  
Coulomb Type

In this paper, we investigate the relativistic quantum dynamics of spin-0 massive charged particle subject to a homogeneous magnetic field in the Gödel-type space-time with potentials. We solve the Klein-Gordon equation subject to a homogeneous magnetic field in a topologically trivial flat class of Gödel-type space-time in the presence of Cornell-type scalar and Coulomb-type vector potentials and analyze the effects on the energy eigenvalues and eigenfunctions.

scholarly journals Dynamics of a charged particle in progressive plane waves propagating in vacuum or plasma: Stochastic acceleration

2009 ◽  
Vol 27 (4) ◽  
pp. 545-567 ◽  
Author(s):  
A. Bourdier ◽  
M. Drouin
Keyword(s):  
Charged Particle ◽  
Plane Wave ◽  
Plane Waves ◽  
Homogeneous Magnetic Field ◽  
Electromagnetic Plane Wave ◽  
Numerical Work ◽  
Stochastic Acceleration ◽  
Particle In Cell ◽  
Resonance Overlap ◽  
Electromagnetic Plane

AbstractThe dynamics of a charged particle in a relativistic strong electromagnetic plane wave propagating in a nonmagnetized medium is studied first. The problem is shown to be integrable when the wave propagates in vacuum. When it propagates in plasma, and when the full plasma response is considered, an exhaustive numerical work allows us to conclude that the problem is not integrable. The dynamics of a charged particle in a relativistic strong electromagnetic plane wave propagating along a constant homogeneous magnetic field is studied next. The problem is integrable when the wave propagates in vacuum. When it propagates in plasma, the problem becomes nonintegrable. Finally, one particle in a high intensity wave, propagating in a nonmagnetized medium, perturbed by a low intensity traveling wave is considered. Resonances are identified and conditions for resonance overlap are studied. Stochastic acceleration is shown by considering a single particle. It is confirmed in plasma in realistic situations with particle-in-cell code simulations.

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