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Springer eBooks

A multiplicative cluster expansion for the correlated basis functions theory

R. Guardiola

Published Apr 6, 2008• 1 citation
Publisher
DOI
10.1007/3-540-10577-8_13

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A method for the accurate evaluation of the diagonal and off-diagonal matrix elements of the Hamiltonian operator within the correlated basis function scheme is presented. Considering a basis consisting of Slater determinants, correlated with a Jastrow correlation factor, the expectation value of the kinetic energy operator has been expressed in the Jackson-Feenberg form. A diagrammatic analysis is presented for the construction and evaluation of the cluster expansions of the required quantities incorporating the Fermi hypernetted chain theory.