Energie

$E^{2}=m^{2}c^{4}+{\underline {p}}^{2}c^{2}$ Taylor-Entwicklung für kleine Geschwindigkeiten: $Assumptions = c > 0 && Subscript[m, 0] >= 0 && p >= 0 && v >= 0; \[CapitalEpsilon] :=

 Series[Sqrt[Subscript[m, 0]^2*c^4 + p^2*c^2], {p, 0, 5}] // 
  Simplify;

Print["E" == \[CapitalEpsilon]] $E=c^{2}m_{0}+{\frac {p^{2}}{2m_{0}}}-{\frac {p^{4}}{8\left(c^{2}m_{0}^{3}\right)}}+O\left(p^{6}\right)$