Applications of Resolutions of the Coulomb Operator in Quantum Chemistry
This dissertation shows that the Coulomb operator and the long-range Coulomb operators can be resolved as a sum of products of one-particle functions. These resolutions provide a potent new route to tackle quantum chemical problems. Replacing electron repulsion terms in Schrodinger equations by the truncated resolutions yields the reduced-rank Schrodinger equations (RRSE). RRSEs are simpler than the original equations but yield energies with chemical accuracy even for low-rank approximations....[Show more]
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