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Homework Help: Energy-momentum relation

  1. Feb 18, 2008 #1
    How is derived the classical energy-momentum relation, E = p^2/2m?

    Thanks!
     
  2. jcsd
  3. Feb 18, 2008 #2
    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]
     
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