Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Commutators and the Parametric Nonrelativistic Particle?

  1. May 31, 2007 #1
    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?

    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?
    Last edited: Jun 1, 2007
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted