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