- #1
Hymne
- 87
- 1
Hello! Hopefully somebody could give me a push from behind on this one :)
Show that the classical wave equation is lorentz invariant.
I tried to exchange all derivatives by the chain rule:
(c^2 \frac{d^2 }{dt^2} + \frac{d^2 }{dx^2} + \frac{d^2 }{dy^2} + \frac{d^2 }{dz^2}) \phi = 0 ; \quad<br /> <br /> \frac{d}{dx} \rightarrow \frac{d}{dx}\frac{dx}{dx'}
And the same for the time derivative and use lorentz transformation. But somewhere it goes wrong..
Homework Statement
Show that the classical wave equation is lorentz invariant.
The Attempt at a Solution
I tried to exchange all derivatives by the chain rule:
(c^2 \frac{d^2 }{dt^2} + \frac{d^2 }{dx^2} + \frac{d^2 }{dy^2} + \frac{d^2 }{dz^2}) \phi = 0 ; \quad<br /> <br /> \frac{d}{dx} \rightarrow \frac{d}{dx}\frac{dx}{dx'}
And the same for the time derivative and use lorentz transformation. But somewhere it goes wrong..