Charged particle in a constant electromagnetic field: Covariant solution

1997 ◽  
Vol 65 (5) ◽  
pp. 429-433 ◽  
Author(s):  
Gerardo Muñoz
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Constant Electromagnetic Field

RELATIVISTIC PARTICLE WITH TORSION AND CHARGED PARTICLE IN A CONSTANT ELECTROMAGNETIC FIELD: IDENTITY OF EVOLUTION

1995 ◽  
Vol 10 (20) ◽  
pp. 1463-1469 ◽  
Author(s):  
MIKHAIL S. PLYUSHCHAY
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Relativistic Particle ◽  
The Other ◽  
Classical Motion ◽  
Constant Electromagnetic Field ◽  
Effective System ◽  
Relativistic Charged Particle ◽  
Higher Derivatives ◽  
Chern Simons

The identity of classical motion is established for two physically different models, one of which is the relativistic particle with torsion, whose action contains higher derivatives and which is the effective system for the statistically charged particle interacting with the Chern-Simons U(1) gauge field, and the other is the (2+1)-dimensional relativistic charged particle in external constant electromagnetic field.

scholarly journals LANDAU LEVELS: TRANSLATIONS AND ROTATIONS IN A CONSTANT ELECTROMAGNETIC FIELD

1990 ◽  
Vol 05 (18) ◽  
pp. 3533-3548 ◽  
Author(s):  
S. FUBINI
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Charged Particle ◽  
Constant Magnetic Field ◽  
Constant Electric Field ◽  
Landau Levels ◽  
Translation Invariant ◽  
Constant Electromagnetic Field ◽  
Relative Coordinates ◽  
Charged System

The spectrum of a charged particle in a constant magnetic field consists of equally-spaced Landau levels En = ℏω (n +½) which are infinitely degenerate. Using the magnetic group we show that this structure is present for any charged system which is rotation-translation invariant. The result is extended to the case of a constant electric field. The separation between baricentric and relative coordinates is discussed.

Mechanics of a charged particle on the Kaluza–Klein background

1995 ◽  
Vol 73 (9-10) ◽  
pp. 602-607 ◽  
Author(s):  
S. R. Vatsya
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Integral Method ◽  
Gordon Equation ◽  
Type Equation ◽  
Fifth Dimension ◽  
Klein Gordon ◽  
Path Integral Method ◽  
Klein Gordon Equation ◽  
Kaluza Klein

The path-integral method is used to derive a generalized Schrödinger-type equation from the Kaluza–Klein Lagrangian for a charged particle in an electromagnetic field. The compactness of the fifth dimension and the properties of the physical paths are used to decompose this equation into its infinite components, one of them being similar to the Klein–Gordon equation.

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