Energy-Momentum Relation | Learn Physics

[actionintegral]

Gentlemen,

I see where there is a relationship between energy and momentum in

$$E=\frac{p^2}{2m}$$

Ok. And I also see where there is a different relationship between energy and momentum in

$$E^2 = p^2c^2 + (m_{0}c^2)^2$$

fine. So there must be some abstract concept where E=E(p) in general. What is that concept called? And what do I search on to learn about it?

 

[vanesch]

So there must be some abstract concept where E=E(p) in general. What is that concept called? And what do I search on to learn about it?

"dispersion relation"