LeftRightPartialD2[mu]
denotes \overleftrightarrow{\partial }_{\mu }, acting
to the left and right.
ExplicitPartialD[LeftRightPartialD2[mu]]
gives
(RightPartialD[mu] + LeftPartialD[mu])
.
Overview, ExplicitPartialD, ExpandPartialD, FCPartialD, LeftPartialD, RightPartialD.
[\[Mu]]
LeftRightPartialD2
[%] ExplicitPartialD
\overleftrightarrow{\partial }_{\mu }
\overleftarrow{\partial }_{\mu }+\vec{\partial }_{\mu }
[\[Mu]] . QuantumField[A, LorentzIndex[\[Nu]]]
LeftRightPartialD2
[%] ExpandPartialD
\overleftrightarrow{\partial }_{\mu }.A_{\nu }
\left.(\partial _{\mu }A_{\nu }\right)+\overleftarrow{\partial }_{\mu }.A_{\nu }
[A, LorentzIndex[\[Mu]]] . LeftRightPartialD2[\[Nu]] . QuantumField[A, LorentzIndex[\[Rho]]]
QuantumField
[%] ExpandPartialD
A_{\mu }.\overleftrightarrow{\partial }_{\nu }.A_{\rho }
A_{\mu }.\left(\left.(\partial _{\nu }A_{\rho }\right)\right)+\left(\left.(\partial _{\nu }A_{\mu }\right)\right).A_{\rho }