Difference between revisions of "Phi Dependent Components"
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![Xy lab.png](/./images/thumb/0/00/Xy_lab.png/400px-Xy_lab.png)
Figure 4: Definition of Moller electron variables in the Lab Frame in the x-y plane.
Similarly,
where
and using
this gives
which gives
Similarly, using
![Xy plane.png](/./images/thumb/b/b4/Xy_plane.png/400px-Xy_plane.png)
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Since only the z direction is considered to be the relativistic direction of motion, this implies that the x and y components are not effected by a Lorentz transformation and remain the same in the CM and Lab frame. Holding the angle Phi constant at an initial value of 10 degrees, allows us to find the x and y components. | Since only the z direction is considered to be the relativistic direction of motion, this implies that the x and y components are not effected by a Lorentz transformation and remain the same in the CM and Lab frame. Holding the angle Phi constant at an initial value of 10 degrees, allows us to find the x and y components. | ||
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| <center>p<sub>y</sub>=POSITIVE</center> | | <center>p<sub>y</sub>=POSITIVE</center> | ||
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+ | |||
+ | <center><math>\textbf{\underline{Navigation}}</math> | ||
+ | |||
+ | [[VanWasshenova_Thesis#Determining_wire-theta_correspondence|<math>\vartriangleleft </math>]] | ||
+ | [[VanWasshenova_Thesis#Determining_wire-theta_correspondence|<math>\triangle </math>]] | ||
+ | [[CED_Verification_of_DC_Angle_Theta_and_Wire_Correspondance|<math>\vartriangleright </math>]] | ||
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+ | </center> |
Revision as of 14:25, 30 May 2017
Since only the z direction is considered to be the relativistic direction of motion, this implies that the x and y components are not effected by a Lorentz transformation and remain the same in the CM and Lab frame. Holding the angle Phi constant at an initial value of 10 degrees, allows us to find the x and y components.
![Xy lab.png](/./images/thumb/0/00/Xy_lab.png/400px-Xy_lab.png)
Checking on the sign from the cosine results for
We have the limiting range that must fall within:
![Xy plane.png](/./images/thumb/b/b4/Xy_plane.png/400px-Xy_plane.png)
Examining the signs of the components which make up the angle
in the 4 quadrants which make up the xy plane: