(adsbygoogle = window.adsbygoogle || []).push({}); 4-velocity "length" under a force

In relativity we have [tex]u^\mu u_\mu=c^2[/tex], which is just another way of saying that [tex]p^\mu p_\mu=m^2c^2[/tex] or [tex]E^2=m^2c^4+p^2c^2[/tex].

This is relatively (no pun!) easy to see for a free particle. But if we have a vector potential acting on the particle, is the above still true? Or do we have instead that

[tex](p_\mu +qA_\mu)(p^\mu+qA^\mu)= constant[/tex]

?

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# 4-velocity length under a force

Loading...

Similar Threads - velocity length under | Date |
---|---|

I What is the "limit of vanishing transport velocity"? | Mar 5, 2018 |

B How can I derive the law of composition of velocities? | Feb 10, 2018 |

B Length Contraction and Time Dilation and Velocity | Apr 21, 2017 |

Does Length Contraction affect measured velocity? | Oct 29, 2015 |

Time dilation, length contraction, but velocity invariant | Jun 15, 2015 |

**Physics Forums - The Fusion of Science and Community**