Waveequation for relativistic particle

  • Thread starter salaric
  • Start date
  • #1
salaric
2
0
How do I find the wave equation for a relativistic particle from E and p in terms of their operator-equations, [tex]E \leftrightarrow[/tex] [tex] i \hbar[/tex] [tex]\frac{d}{dt}[/tex] and [tex]p \leftrightarrow[/tex] [tex]- i \hbar[/tex] [tex]\frac{d}{dx}[/tex] ?

I'm assuming I'll have to use: [tex]E^{2}=p^{2}c^{2}+\left(m_{0}c^{2}\right)^{2}[/tex]
and substitude the operator-equations into that, but where to go from there? I'm lost.

Thanks heaps
 

Answers and Replies

  • #2
lbrits
410
3
What happens when you do that substitution? Because that's all that there is to it...
 
  • #3
salaric
2
0
haha, yes i realized that, I was trying to get the wave function instead of the wave equation, and that's why it was a bit hard to do like that in my head.

Thanks though :)
 
  • #4
Mute
Homework Helper
1,388
12
http://en.wikipedia.org/wiki/Klein-Gordon_equation

This is basically what you're trying to get at, right? Note that this isn't the relativistic wave equation used in QFT - that's the dirac equation - since this equation doesn't incorporate spin.
 

Suggested for: Waveequation for relativistic particle

Replies
87
Views
2K
  • Last Post
2
Replies
40
Views
2K
  • Last Post
Replies
1
Views
276
Replies
1
Views
256
  • Last Post
Replies
21
Views
478
Replies
2
Views
437
Replies
1
Views
253
Replies
4
Views
314
  • Last Post
Replies
13
Views
492
Top