OK, I'm a wee bit sleep deprived and cannot recollect some facts about the Dirac quantization of gauge theories. With the quantization of the parametrized nonrelativistics particle, do we still change the Poisson bracket into commutators?(adsbygoogle = window.adsbygoogle || []).push({});

More specifically, for the non-relativistic particle, would the following hold:

[tex]i\hbar\dot{x} = [x,H][/tex]

If not how can I find the velocity operator for the parametrized nonrelativistic particle?

Thanks for all the help!

[edit]: I suppose my real question is: Can I still use the Heisenberg picture with the Dirac Quantization of First Class Constrained gauge systems?

**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!

# Commutators and the Parametric Nonrelativistic Particle?

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads for Commutators Parametric Nonrelativistic | Date |
---|---|

I Commuting Operators and CSCO | Feb 20, 2018 |

A Commutator vector product | Jan 29, 2018 |

Commutation relation | Jan 18, 2018 |

I Spontaneous parametric down conversion photons | Jan 10, 2018 |

I Solving the Schrödinger eqn. by commutation of operators | Jan 8, 2018 |

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