LeftRightNablaD
LeftRightNablaD[i]
denotes ∇i, acting to the left and right.
ExplicitPartialD[LeftRightNablaD[i]]
gives 1/2 (RightNablaD[i] - LeftNablaD[i])
.
See also
Overview, ExplicitPartialD, ExpandPartialD, FCPartialD, LeftNablaD, LeftRightNablaD2, RightNablaD.
Examples
LeftRightNablaD[i]
ExplicitPartialD[%]
∇i
21∂i−∂i
LeftRightNablaD[i] . QuantumField[A, LorentzIndex[\[Nu]]]
ExpandPartialD[%]
∇i.Aν
21(∂i.Aν−(∂iAν))
QuantumField[A, LorentzIndex[\[Mu]]] . LeftRightNablaD[i] . QuantumField[A, LorentzIndex[\[Rho]]]
ExpandPartialD[%]
Aμ.∇i.Aρ
21((∂iAμ).Aρ−Aμ.(∂iAρ))