Sigma Gamma Rho

{R^{\rho }}_{\sigma \mu \nu }=\partial _{\mu }\Gamma _{\nu \sigma }^{\rho }-\partial _{\nu }\Gamma _{\mu \sigma }^{\rho }+\Gamma _{\mu \lambda }^{\rho }\Gamma

}}{\partial x^{\sigma }}}+\Gamma _{\nu \sigma }^{\alpha }\Gamma _{\alpha \rho }^{\beta }-\Gamma _{\nu \rho }^{\alpha }\Gamma _{\alpha \sigma }^{\beta }} 史丹佛大學廣義相對論的課程

{\partial x^{\sigma }}{\partial {\bar {x}}^{\rho }}}\right]{\frac {\partial {\bar {x}}^{\rho }}{\partial x^{\sigma }}}{\frac {\partial ^{2}x^{\sigma }}{\partial

{\rho }}=-i[H,\rho ]+\Gamma \left[\sigma ^{-}\rho \sigma ^{+}-{\frac {1}{2}}(\sigma ^{+}\sigma ^{-}\rho +\rho \sigma ^{+}\sigma ^{-})\right]} 其中 σ + =

{Tr} \left(\gamma _{\rho }\gamma _{\mu }\gamma _{\sigma }\gamma _{\nu }\right)=4\left(\eta _{\rho \mu }\eta _{\sigma \nu }-\eta _{\rho \sigma }\eta _{\mu