Energie: Difference between revisions
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<math>E^2=m^2 c^4 + \underline{p}^2 c^2</math> | <math>E^2=m^2 c^4 + \underline{p}^2 c^2</math> | ||
mit Impuls | mit Impuls | ||
<math>\underline{p}=\gamma {{m}_{0}}\underline{v}</math> | <math>\underline{p}=\gamma {{m}_{0}}\underline{v}</math> | ||
folgt | folgt | ||
Revision as of 20:56, 11 July 2009
Taylor-Entwicklung für kleine Geschwindigkeiten:
$Assumptions = c > 0 && Subscript[m, 0] >= 0 && p >= 0 && v >= 0;
Energy := Sqrt[Subscript[m, 0]^2*c^4 + p^2*c^2];
EnergyAppox := Series[Energy, {p, 0, 5}] // Simplify;
Print["E" == EnergyAppox]