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

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.

Ensemble estimation of polarization ellipse parameters

2007 ◽  
Vol 463 (2088) ◽  
pp. 3375-3394 ◽  
Author(s):  
A.T Walden ◽  
T Medkour
Keyword(s):  
Angular Distribution ◽  
Standard Deviation ◽  
Aspect Ratio ◽  
Plane Wave ◽  
Wave Field ◽  
Covariance Matrix ◽  
Time Instant ◽  
Azimuth Angle ◽  
Ensemble Estimation ◽  
Plane Wave Field

An ellipse describes the polarized part of a partially polarized quasi-monochromatic plane wave field. Its azimuth angle and aspect ratio are functions of the elements of the covariance matrix associated with the polarized part at a particular time instant. Given an ensemble of K independent samples at that time, the distributions of the estimators of these parameters are derived. The estimation is thus based on a sample ensemble at any time, and does not assume temporal stationarity. Additionally, the azimuth angle estimator has an angular distribution so that non-standard statistical methods are needed when deriving its mean and standard deviation.

Experimental Verification of a Plane-Wave Field Synthesis Technique for MIMO OTA Antenna Testing

2016 ◽  
Vol 64 (7) ◽  
pp. 3141-3150 ◽  
Author(s):  
Afroza Khatun ◽  
Veli-Matti Kolmonen ◽  
Veikko Hovinen ◽  
Dristy Parveg ◽  
Markus Berg ◽  
...  
Keyword(s):  
Plane Wave ◽  
Wave Field ◽  
Experimental Verification ◽  
Synthesis Technique ◽  
Plane Wave Field ◽  
Wave Field Synthesis
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