\BOOKMARK [0][-]{section*.2}{Mixing density functional theory and wave function theory for strong correlation: the best of both worlds}{}% 2 \BOOKMARK [1][-]{section*.1}{Abstract}{section*.2}% 1 \BOOKMARK [1][-]{section*.3}{Introduction}{section*.2}% 3 \BOOKMARK [1][-]{section*.4}{Theory}{section*.2}% 4 \BOOKMARK [2][-]{section*.5}{Basic formal equations}{section*.4}% 5 \BOOKMARK [2][-]{section*.6}{Definition of an effective interaction within B}{section*.4}% 6 \BOOKMARK [2][-]{section*.7}{Definition of a range-separation parameter varying in real space}{section*.4}% 7 \BOOKMARK [2][-]{section*.8}{Generic form and properties of the approximations for B[n\(r\)] }{section*.4}% 8 \BOOKMARK [3][-]{section*.9}{Generic form of the approximated functionals}{section*.8}% 9 \BOOKMARK [3][-]{section*.10}{Properties of approximated functionals}{section*.8}% 10 \BOOKMARK [2][-]{section*.11}{Requirements for the approximated functionals in the strong correlation regime}{section*.4}% 11 \BOOKMARK [3][-]{section*.12}{Requirements: separability of the energies and Sz invariance}{section*.11}% 12 \BOOKMARK [3][-]{section*.13}{Condition for the functional XB[n,,s,n\(2\),B] to obtain Sz invariance}{section*.11}% 13 \BOOKMARK [3][-]{section*.14}{Conditions on B for the extensivity}{section*.11}% 14 \BOOKMARK [2][-]{section*.15}{Different types of approximations for the functional}{section*.4}% 15 \BOOKMARK [3][-]{section*.16}{Definition of the protocol to design functionals}{section*.15}% 16 \BOOKMARK [3][-]{section*.17}{Definition of a hierarchy of functionals}{section*.15}% 17 \BOOKMARK [1][-]{section*.18}{Results}{section*.2}% 18 \BOOKMARK [2][-]{section*.19}{Numerical tests of extensivity}{section*.18}% 19 \BOOKMARK [3][-]{section*.20}{Dissociation to closed shell ground states}{section*.19}% 20 \BOOKMARK [3][-]{section*.21}{Dissociation to open shell ground states}{section*.19}% 21 \BOOKMARK [1][-]{section*.22}{Conclusion}{section*.2}% 22