How Is the Classical Energy-Momentum Relation Derived?

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 7K views
Erika Martin
Messages
1
Reaction score
0
How is derived the classical energy-momentum relation, E = p^2/2m?

Thanks!
 
Physics news on Phys.org
Kinetic Energy = [tex]0.5 * mv^{2}[/tex]

momentum = p = mv

Kinetic Energy = [tex]0.5 * p * v[/tex]
Kinetic Energy = [tex]0.5 * p * p/m[/tex]
Kinetic Energy = [tex]0.5 * p^{2}/m[/tex]

Kinetic Energy = [tex]p^{2}/2m[/tex]