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

Can we apply 'Quantization' only from motion equation ?

  1. Jul 30, 2007 #1
    Can we apply 'Quantization' only from motion equation ??

    Supposing you have the equation of motion (in terms of momenta and position)

    [tex] F(\dot p_{a} , q_{a})=0 [/tex]

    then can you obtain the 'Quantum analogue' without the intervention of the Lagrangian ???

    and another question could we regard the expression

    [tex] \int \mathcal D[q(t)] e^{-\int_{a}^{b}dt \mathcal L (q, \dot q , t)} [/tex]

    as a 'Zeta function' of something evaluated at a point s=1 where

    [tex] \int_{a}^{b}dt \mathcal L (q, \dot q , t)} =logM[q(t)] [/tex]

    being M another functional, so the problems involving Functional integration (if not all many of them) could be sovled by Zeta regularization.
     
    Last edited: Jul 30, 2007
  2. jcsd
  3. Jul 31, 2007 #2

    Demystifier

    User Avatar
    Science Advisor

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?