Difference between revisions of "4-momenta"
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(Created page with "=4-momenta= As was previously shown for the space-time 4-vector, a similar 4-vector can be composed of momentum.") |
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| − | As was previously shown for the space-time 4-vector, a similar 4-vector can be composed of momentum. | + | As was previously shown for the space-time 4-vector, a similar 4-vector can be composed of momentum. Using index notation, the energy and momentum components can be combined into a single "4-vector" <math>\mathbf{x^{\mu}},\ \mu=0,\ 1,\ 2,\ 3</math>, that has units of momentum(i.e. E/c is a distance). |
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| + | <center><math>\mathbf{P} \equiv | ||
| + | \begin{bmatrix} | ||
| + | p^0 \\ | ||
| + | p^1 \\ | ||
| + | p^2 \\ | ||
| + | p^3 | ||
| + | \end{bmatrix}= | ||
| + | \begin{bmatrix} | ||
| + | E/c \\ | ||
| + | p_x \\ | ||
| + | p_y \\ | ||
| + | p_z | ||
| + | \end{bmatrix}</math></center> | ||
Revision as of 19:48, 8 June 2017
4-momenta
As was previously shown for the space-time 4-vector, a similar 4-vector can be composed of momentum. Using index notation, the energy and momentum components can be combined into a single "4-vector" , that has units of momentum(i.e. E/c is a distance).