Differences

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--- formulas:lorentz_force_law [2018/04/14 10:26]
aresmarrero [Concrete]
+++ formulas:lorentz_force_law [2018/04/14 10:27]
aresmarrero [Concrete]
@@ Line 15: / Line 15: @@
 <tabbox Concrete>
-----
 **Derivation**
@@ Line 43: / Line 41: @@
  &= e\left(\frac{\partial A_j}{\partial q^i} - \frac{\partial A_i}{\partial q^j}\right)\dot{q}^j .
 \end{align*}
-Here, term in parentheses is $\fvect{F}_{ij}=$ the electromagnetic field, $F=dA$.  Therefore, the equations of motion are
+Here, term in parentheses is $F_{ij}=$ the electromagnetic field, $F=dA$.  Therefore, the equations of motion are
 \begin{equation}
-\boxed{
+ m\frac{d v_i}{dt} = e F_{ij}\dot{q}^j,
- \eqngapabove \gapleft
- m\frac{d v_i}{dt} = e\fvect{F}_{ij}\dot{q}^j, \quad\text{(Lorentz force law)}
- \gapright \eqngapbelow
-}
 \end{equation}
-which we call the Lorentz law.)
+which we call the Lorentz law.
 <tabbox Abstract>