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Some typical kinetic energy integrals which arise in the application ofextended Hylleraas-configuration interaction (E-Hy-CI) function in theframework of Rayleigh-Ritz method of variation, have been evaluatedanalytically for two-electron atomic systems. Closed-form expressions for thecorresponding integrals which occur in the application of Hylleraas-CIfunctions, have also been derived as special cases.

Kinetic Energy Matrix Elements for a two-electron Atom with Extended Hylleraas-CI Wave Function