A SELF-CONSISTENT MANY-BODY METHOD WHICH DESCRIBES THE DISSOCIATION AND FORMATION OF CHEMICAL BONDS

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1981

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Ohio State University

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The BSC Ansatz1 corrects for the failure of Hartree-Fock theory for superconductors. A similar failure, of Hartree-Fock theory as regards chemical bond formation and dissociation may be corrected using generalized Hartree-Fock theory.2−5 The Bogolyubov-Valatin transformation yields self-consistent equations for a BSC type vacuum which are appropriate for chemical bonding. Particle nonconservation is suppressed with a generalized Lipkin Hamiltonian.6 The resulting many-body theory may be cast in two useful forms. The Feynman-Dyson diagrammatic theory is realized using Nambu’s formalism.3 The equations--of--motion theory is realized using Rowe’s formalism.7

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1J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev. 108, 1175 (1957). 2N. N. Bogolyubov, Soviet Phys.-Usp. 67 (2), 236 (1959). 3Y. Nambu. Phys. Rev. 117, 648 (1960). 4M. Barenger, ibid. 122, 992 (1961). 5J. G. Valatin, ibid. 122, 1012 (1961). 6H. J. Lipkin, Ann. Phys. (N.Y.) 9, 272 (1960). 7D. J. Rowe. Rev. Mod. Phys. 40, 153 (1968).


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http://hdl.handle.net/1811/11634

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Abstracts of OSU International Symposium on Molecular Spectroscopy 1980-1989