@article{oai:nagoya.repo.nii.ac.jp:00007069,
 author = {Yasuda, Koji},
 issue = {5},
 journal = {PHYSICAL REVIEW LETTERS},
 month = {Feb},
 note = {A local approximation formula of the correlation energy functional Ec in terms of the first-order reduced density matrix (1-RDM) is presented. With the contracted Schrödinger equation the principal dependence of Ec on the natural occupation numbers ni is identified. Using the effective mass theory, Ec is expressed as a functional of the local density and the local variable, J = Σi√ni(1-ni)|Φi|2 , where Φi are the natural spin orbitals. This local approximation satisfies the homogeneous coordinate scaling relation, gives the exact result for a one-electron system, and is almost free from the exchange energy error. It reproduced about 90% of the correlation energies of atoms and molecules.},
 pages = {053001--053001},
 title = {Local Approximation of the Correlation Energy Functional in the Density Matrix Functional Theory},
 volume = {88},
 year = {2002}
}