View source for Momentum Components in the XY Plane Based on Angle Phi

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=Momentum Components in the XY Plane Based on Angle Phi=

Checking on the sign from the cosine results for <math>\phi '_2</math>


We have the limiting range that <math>\phi</math> must fall within:
{| class="wikitable" align="center"
| style="background: grey"      | <math>-\pi \le \phi '_2 \le \pi\ Radians</math>
|}

<center>[[File:xy_plane.png | 400px]]</center>

Examining the signs of the components which make up the angle <math>\phi</math> in the 4 quadrants which make up the xy plane:

{| class="wikitable" align="center"
| style="background: red"      | <math>For\ 0 \ge \phi '_2 \ge \frac{-\pi}{2}\ Radians</math>
|-
| <center>p<sub>x</sub>=POSITIVE</center>
|-
| <center>p<sub>y</sub>=NEGATIVE</center>
|}

{| class="wikitable" align="center"
| style="background: red"      | <math>For\ 0 \le \phi '_2 \le \frac{\pi}{2}\ Radians</math>
|-
| <center>p<sub>x</sub>=POSITIVE</center>
|-
| <center>p<sub>y</sub>=POSITIVE</center>
|}

{| class="wikitable" align="center"
| style="background: red"      | <math>For\ \frac{-\pi}{2} \ge \phi '_2 \ge -\pi\ Radians</math>
|-
| <center>p<sub>x</sub>=NEGATIVE</center>
|-
| <center>p<sub>y</sub>=NEGATIVE</center>
|}

{| class="wikitable" align="center"
| style="background: red"      | <math>For\ \frac{\pi}{2} \le \phi '_2 \le \pi\ Radians</math>
|-
|<center>p<sub>x</sub>=NEGATIVE</center>
|-
| <center>p<sub>y</sub>=POSITIVE</center>
|}




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[[Final_CM_Frame_Moller_Electron_4-momentum_components|<math>\vartriangleright </math>]]

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