Difference between revisions of "Forest VirtualRealPhoton"

From New IAC Wiki
Jump to navigation Jump to search
 
(8 intermediate revisions by the same user not shown)
Line 4: Line 4:
 
=Polarized Virtual Photons From Electrons=
 
=Polarized Virtual Photons From Electrons=
  
<math>\epsilon= \lef [ 1 + 2 \frac{\left ( Q^2 + \nu^2\right )}{} \right ]</math>
+
Virtual Photon Polarization
 +
 
 +
<math>\epsilon= \left [ 1 + 2 \left ( 1 + \frac{\nu^2}{Q^2}\right ) \tan^2\left( \frac{\theta_e^{\prime}}{2}\right)\right ]</math>
 +
 
 +
Longitudinal Photon Polarization
 +
 
 +
<math>\epsilon_L= \frac{Q^2}{\nu^2}\epsilon</math>
 +
 
 +
 
 +
Polarization Density Matrix
 +
 
 +
:<math>
 +
  \begin{bmatrix}
 +
    \frac{1}{2}(1+\epsilon) & 0 & -1 \sqrt{\frac{1}{2}\epsilon_L(1+\epsilon)}\\
 +
    0 & \frac{1}{2}(1-\epsilon) & 0\\
 +
    -1 \sqrt{\frac{1}{2}\epsilon_L(1+\epsilon)} & 0 & \epsilon_L\\
 +
  \end{bmatrix}
 +
</math>
 +
 
 +
 
 +
Reference: N. Dombey, Rev. Mod. Phys., '''41''', 236 (1969)
  
 
[[Forest_Classes]]
 
[[Forest_Classes]]

Latest revision as of 17:06, 25 July 2012

Polarized Real Photons From Electrons

Polarized Virtual Photons From Electrons

Virtual Photon Polarization

[math]\epsilon= \left [ 1 + 2 \left ( 1 + \frac{\nu^2}{Q^2}\right ) \tan^2\left( \frac{\theta_e^{\prime}}{2}\right)\right ][/math]

Longitudinal Photon Polarization

[math]\epsilon_L= \frac{Q^2}{\nu^2}\epsilon[/math]


Polarization Density Matrix

[math] \begin{bmatrix} \frac{1}{2}(1+\epsilon) & 0 & -1 \sqrt{\frac{1}{2}\epsilon_L(1+\epsilon)}\\ 0 & \frac{1}{2}(1-\epsilon) & 0\\ -1 \sqrt{\frac{1}{2}\epsilon_L(1+\epsilon)} & 0 & \epsilon_L\\ \end{bmatrix} [/math]


Reference: N. Dombey, Rev. Mod. Phys., 41, 236 (1969)

Forest_Classes