Energy-Momentum Relation | Learn Physics

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The discussion centers on the relationship between energy and momentum in physics, highlighting two specific equations: E = p²/2m and E² = p²c² + (m₀c²)². Participants seek to understand a more general concept where energy is expressed as a function of momentum, referred to as E = E(p). The term "dispersion relation" is identified as the key concept to explore further. This concept is crucial for understanding the broader implications of energy-momentum relationships in various physical contexts.
actionintegral
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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?
 
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actionintegral said:
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"
 

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