M. Sjovoll et al., AN EFFICIENT TREATMENT OF KINEMATIC FACTORS IN PSEUDO-RELATIVISTIC CALCULATIONS OF ELECTRONIC-STRUCTURE, Theoretical chemistry accounts, 99(1), 1998, pp. 1-7
Relativistic two-electron operators obtained by the Douglas-Kroll tran
sformation contain p-dependent kinematic prefactors which are,not pres
ent in the corresponding Breit-Pauli operators. These factors are usua
lly calculated using a resolution of the identity approach, which requ
ires integral transformations. In the present article we describe an a
lternative approach, based on a local approximation, where the effect
of the prefactors can; be absorbed in the atomic contraction coefficie
nts. The effect of the local approximation is investigated in detail.
The suggested approach is simple to implement in integral codes that a
llow the use of a general contraction scheme.