Re: Preposterous change of variables


actionintegral@xxxxxxxxx wrote:
Igor wrote:
actioninteg...@xxxxxxxxx wrote:
Igor wrote:
actionintegral@xxxxxxxxx wrote:
Okay, now I see what you are saying. You're seeking a solution that is
additively separable, i.e. one that has psi (u,v) = psi1(u) + psi2(v).
And the equation will indeed admit such a solution.

Now here is where it ties in to where you helped me before. When I
separate using waves
u=x-vt, i get nonrelativistic solutions. But when I separate using
waves u=x-ct, how do I interpret the answers?

The main problem is that you really can't properly interpret the
answers since this would take it outside the domain of the Schroedinger
equation itself. SInce the equation is only valid for v << c, using c
in your substitution wouldn't give any real physically meaningful
result. For that, you would need to apply it to one of the
relativistic wave equations, such as Klein-Gordon or Dirac.

.

Relevant Pages

  • Re: Preposterous change of variables
    ... And the equation will indeed admit such a solution. ... Now here is where it ties in to where you helped me before. ... separate using waves ... But when I separate using ...
    (sci.physics)
  • Re: Mismatched Zo Connectors
    ... "Contrary to popular views, the forward and reverse ... waves on a transmission line are not separate fields." ... for transmission lines as presented by Ramo/Whinnery, ...
    (rec.radio.amateur.antenna)
  • Re: Is the Superposition Principle invalid?
    ... up with a linear combination of individual waves in ... medium is the algebraic sum of the separate constituent ... permission to consider the forward and reflected waves ...
    (rec.radio.amateur.antenna)
  • Re: Mismatched Zo Connectors
    ... "Cecil Moore" wrote ... how is it possible for a circulator to separate them? ... The two waves do NOT, and cannot, exist seperately in time. ... The circulator merely divides the STEADY STATE, instantaneous, at the ...
    (rec.radio.amateur.antenna)