# Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density.

@article{Lee1988DevelopmentOT, title={Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density.}, author={Lee and Yang and Parr}, journal={Physical review. B, Condensed matter}, year={1988}, volume={37 2}, pages={ 785-789 } }

A correlation-energy formula due to Colle and Salvetti [Theor. Chim. Acta 37, 329 (1975)], in which the correlation energy density is expressed in terms of the electron density and a Laplacian of the second-order Hartree-Fock density matrix, is restated as a formula involving the density and local kinetic-energy density. On insertion of gradient expansions for the local kinetic-energy density, density-functional formulas for the correlation energy and correlation potential are then obtained…

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