Hartree theory a trick we can split the hamiltonian

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Unformatted text preview: ctual ground state energy is  ­78.975 eV. e ­e repulsion is sizeable correc;on Straight applica;on of perturba;on theory is inappropriate, since it’s a large contribu;on. Hartree theory •  A trick: we can split the Hamiltonian into: H = H 0 + H ! !2 2 !2 2 H0 = ! " r1 + V (r1 ) ! " r 2 + V (r2 ) 2m 2m e2 1 Ze2 1 Ze2 H'= " " V (r1 ) " " V (r2 ) 4!!0 r12 4!!0 r1 4!!0 r2 where we’ve added and subtracted a centrally symmetric poten;al such that H’ no...
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