8-1

Lorentz力の時間成分、空間成分を求めよ。

8-1解答

• time component

  $$F^{0} = \frac{e}{c}F^0{}_\nu U^\nu = \frac{e}{c}\eta^{0\alpha}F_{... ... = \frac{e}{c}\eta^{00}F_{0i} U^i =\gamma\frac{e}{c}\left( \vE \cdot \vu\right)$$ (38)

  
  

• space component

  $$F^i = \frac{e}{c}F^i{}_\nu U^\nu = \frac{e}{c}\eta^{i\alpha}F_{\a... ...j\right) =\gamma e\left[ \vE +\frac{1}{c} \left( \vu\times \vB \right)\right]_i$$ (39)

  
  

著者: 茅根裕司 chinone_at_astr.tohoku.ac.jp