It is clear that a conserved current [tex]\partial_{\mu} J^\mu = 0[/tex] implies the existence of a conserved charge [tex]Q= \int d^3x J^0 [/tex]. Now I want to go the other way round: Suppose we have a basis of momentum eigenstates, such that these states are also eigenstates of the charge. Then clearly the charge commutes with the energy operator and is thus conserved but can we say anything else about the 4-vector current by for example invoking Lorentz invariance? It would be nice if there was a way to deduce [tex]\partial_{\mu} J^\mu = 0[/tex] but I do not see how that is possible(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

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!

# And another one on Lorentz invariance

Loading...

Similar Threads for another Lorentz invariance |
---|

I Question about gauge invariance and the A-B effect |

I Amplitude to go from one state to another |

I Lorentz transformation and its Noether current |

**Physics Forums | Science Articles, Homework Help, Discussion**