1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

What,s the meaning of

  1. Apr 27, 2006 #1
    is there (if any) a physical meaning to the function [tex] \nabla^{2}(S) [/tex] ?...we have that [tex] gra(S)=p [/tex] p=momentum vector my question is that somehow the operator proposed above is [tex] \nabla^{2}(S)=div(gra(S))=div(p) [/tex]
    although the proposed operator makes no sense in classical Hamilton-Jacobi Mechanics if we make the change of variable [tex] \Psi=e^{iS/\hbar} [/tex] inside SE equation you get the Pseudo-HJ equation:

    [tex] dS/dt= (\nabla(S))^{2}+V(x,t)+U_{b}+i\hbar { \nabla^{2}(S) } [/tex] with m=1/2 and U_{b} is the Bohmian quantum potential.
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

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

Similar Discussions: What,s the meaning of
  1. What this means? (Replies: 2)