Path-integral evaluation of the propagator for a charged particle in a constant magnetic field and with the vector potential of a solenoid

1987 ◽  
Vol 36 (6) ◽  
pp. 2964-2967 ◽  
Author(s):  
Bin Kang Cheng
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Path Integral ◽  
Constant Magnetic Field ◽  
Vector Potential ◽  
Integral Evaluation

THE FADDEEV–POPOV METHOD FOR THE RELATIVISTIC LANDAU PROBLEM

1992 ◽  
Vol 07 (12) ◽  
pp. 2825-2839
Author(s):  
C. FARINA ◽  
J. GAMBOA
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Conservation Laws ◽  
Path Integral ◽  
Constant Magnetic Field ◽  
Proper Time ◽  
Landau Levels ◽  
Integral Approach ◽  
Relativistic Problem ◽  
Popov Method

We use the Faddeev–Popov method to calculate explicitly the path integral propagator for a relativistic spinless charged particle in the presence of a constant magnetic field. We obtain the conservation laws in the path integral approach. We also establish the equivalence between the Faddeev–Popov method and the Fock–Schwinger proper time approach. Finally, after proposing a suitable regularization prescription for the non-relativistic problem, we obtain the Landau levels directly from the path integral result.

Uncertainty relation for a charged particle in a constant magnetic field

1987 ◽  
Vol 55 (4) ◽  
pp. 375-376 ◽  
Author(s):  
Walter C. Henneberger ◽  
Mojtaba Jafarpour
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Constant Magnetic Field ◽  
Uncertainty Relation

A Proposed Experiment of Direct Detecting of the Vector Potential within Classical Electrodynamics

1997 ◽  
Vol 11 (12) ◽  
pp. 531-540
Author(s):  
V. Onoochin
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Charged Particle ◽  
Vector Potential ◽  
Energy Exchange ◽  
Short Pulse ◽  
Classical Electrodynamics ◽  
Direct Influence ◽  
Ultra Short Pulse ◽  
The Magnetic Field

An experiment within the framework of classical electrodynamics is proposed, to demonstrate Boyer's suggestion of a change in the velocity of a charged particle as it passes close to a solenoid. The moving charge is replaced by an ultra-short pulse (USP), whose characteristics should depend on the current in the coil. This dependence results from the exchange of energy between the electromagnetic field of the pulse and the magnetic field within the solenoid. This energy exchange could only be explained, by assuming that the vector potential of the solenoid has a direct influence on the pulse.

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