Energy-Momentum Relation | Learn Physics

  • Thread starter Thread starter actionintegral
  • Start date Start date
  • Tags Tags
    Energy Momentum
Click For Summary
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
Messages
305
Reaction score
5
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?
 
Physics news on Phys.org
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"
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 10 ·
Replies
10
Views
629
  • · Replies 60 ·
3
Replies
60
Views
5K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 35 ·
2
Replies
35
Views
4K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K