By P. O. Löwdin (auth.), M. Dupuis (eds.)

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Extra resources for Supercomputer Simulations in Chemistry: Proceedings of the Symposium on Supercomputer Simulations in Chemistry, held in Montreal August 25–27, 1985, sponsored by IBM-Kingston and IBM-Canada

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T. in the spring of 1954 by using the concept of reduced density matrices. 42) since the wave function 'P contains all the information. 44) k where the one-electron functions Xk(X) are called the natural spin-orbitals, and the eigenvalues or "occupation numbers" n k have the general properties o< nk < 1, I nk =N . 21) of most rapid convergence, which will be referred to as the "natural expansion" of the wave function 'P. l = Tr(y -l) = 0 . 46) Some applications of this approach showed that it led to great simplifications of the wave functions.

Löwdin, Academic Press, New York, 1964, p. 433; Tetrahedron 19, Suppl. 2, 43 (1963); J. Chem. Phys. 43, S69 (1965); O. L. Calais, Arkiv Fysik 29, 135 (1965); J. de Heer and R. Pauncz, J. Chem. Phys. 39, 2314 (1963); R. B. L. L. Calais, Int. J. Quantum Chem. 13, 661 (1967). For more complete references, see I. Mayer, Adv. Quantum Chem. 12, 189 (Academic Press, New York, 1980). O. Löwdin, Texas J. Seienee 8, 163 (1956). A. Fröman, Phys. Rev. 112, 870 (1958). J. Linderberg and H. Shull, J. Mol. Spec.

O. Löwdin, Revs. Mod. Phys. 34, 80 (1962). C. Slater, Phys. Rev. 34, 1293 (1929). N. Bohr, Proc. Phys. Soc. (London) 35, 296 (1923). R. Hartree, Proc. Cambridge Phi I. Soc. 24, 89 (1928). M. R. Oppenheimer, Ann. der Physik (Liepzig) 84, 457 (1927). C. Slater, Phys. Rev. 35, 210 (1930). V. Fock, Z. Physik 61, 126 (1930). M. Dirac, Proc. Cambridge Phil. Soc. 26, 376 (1930); 27, 240 (1931). R. Hartree, Mem. Proc. Lit. Phil. Soc. Manchester 77, 91 (1933). V. Fock and M. Petrashen, Phys. Zs. Sow. 6, 368 (1934); 8, 547 (1935).

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