ABSTRACT
The following relation can be derived from equation (3) relying on the definition of the Ricci coefficients γmkl ,
Γ†αγ σ + γσΓα = −∇αγσ (7)
where ∇α is the symbol of the covariant derivative. Using this relation, one can easily check the identity
ψFψ − ψFψ = h 2πi
1√ g
∂
∂xσ ( ψ √ gγσψ
) , (8)
where g is the absolute value of the determinant of the fundamental tensor gσ.
