Exact Green function for a Dirac particle in a weak gravitational plane wave field. Alternative path integral approach

2012 ◽  
Vol 53 (7) ◽  
pp. 072303
Author(s):  
H. K. Ould-Lahoucine ◽  
L. Chetouani
Keyword(s):  
Green Function ◽  
Plane Wave ◽  
Wave Field ◽  
Path Integral ◽  
Dirac Particle ◽  
Integral Approach ◽  
Path Integral Approach ◽  
Alternative Path ◽  
Plane Wave Field

Green’s function for an electron model with a plane wave

Open Physics ◽  
2009 ◽  
Vol 7 (1) ◽  
Author(s):  
Hassen Ould Lahoucine ◽  
Lyazid Chetouani
Keyword(s):  
Green Function ◽  
Plane Wave ◽  
Path Integral ◽  
Equations Of Motion ◽  
Free Particle ◽  
Dirac Particle ◽  
Integral Approach ◽  
Electron Model ◽  
Plane Wave Field ◽  
The Green Function

AbstractThe Green function for a Dirac particle subject to a plane wave field is constructed according to the path integral approach and the Barut’s electron model. Then it is exactly determined after having fixed a matrix U chosen so that the equations of motion are those of a free particle, and by using the properties of the plane wave and also with some shifts.

scholarly journals Green’s Function for Dirac Particle in a Non-Abelian Field: A Path Integral Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-15
Author(s):  
Sami Boudieb ◽  
Lyazid Chetouani
Keyword(s):  
Green Function ◽  
Green’S Function ◽  
Green's Function ◽  
Path Integral ◽  
Dirac Particle ◽  
Integral Approach ◽  
Path Integral Approach ◽  
Abelian Field ◽  
The Green Function

The Green function for a Dirac particle moving in a non-Abelian field and having a particular form is exactly determined by the path integral approach. The wave functions were deduced from the residues of Green’s function. It is shown that the classical paths contributed mainly to the determination of the Green function.

Path Integral for Dirac Particle in Plane Wave Field

2001 ◽  
Vol 64 (4) ◽  
pp. 285-291 ◽  
Author(s):  
S Zeggari ◽  
T Boudjedaa ◽  
L Chetouani
Keyword(s):  
Plane Wave ◽  
Wave Field ◽  
Path Integral ◽  
Dirac Particle ◽  
Plane Wave Field
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