Quantum redactiones paginae "Aequationes Lagrangi" differant

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ubi <math>\vec{x}</math> est particulae positio, ''q'' suum onus electricum, <math>\vec{v}= \dot{\vec{x}}</math> sua velocitas, <math> \phi [\vec{x},t]</math> tensio electrica in loco <math>\vec{x}</math> temporeque ''t'', et <math>\vec{A} [\vec{x},t]</math> potentiale vectorale.
 
DerivandoApplicando respectoaequationes <math>\vec{x}</math>Euler-Lagrange, obtinemus
 
:::<math>0 = - \frac{d}{d t}\left(\frac{m \dot{\vec{x}}} {\sqrt {1 - \frac{v^2}{c^2}}}\right) - q \nabla\phi [\vec{x},t] - q \partial_t{\vec{A}} [\vec{x},t]