Application of the Resonating Hartree-Fock Theory to the Lipkin Model

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In order to make clear essential features of the resonating Hartree-Fock (Res HF) theory for a Fermion system with large quantum fluctuations and to show its superiority over the usual HF theory, the authors apply it to the exactly solvable Lipkin model. They use a new direct optimization algorithm to optimize orbitals in nonorthogonal Slater determinants (S-dets) in a Res HF wave function. For the sake of simplicity, they assume a Res HF wave function to be superposed by two S-dets {vert_bar}g{sub 1}> {vert_bar}g{sub 2}> which give corresponding two local energy minima of monopole deformation. They make the self-consistent Res … continued below

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44 p.

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Nishiyama, Seiya December 31, 1993.

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  • Nishiyama, Seiya Univ. of Washington, Seattle, WA (United States). Inst. for Nuclear Theory

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Description

In order to make clear essential features of the resonating Hartree-Fock (Res HF) theory for a Fermion system with large quantum fluctuations and to show its superiority over the usual HF theory, the authors apply it to the exactly solvable Lipkin model. They use a new direct optimization algorithm to optimize orbitals in nonorthogonal Slater determinants (S-dets) in a Res HF wave function. For the sake of simplicity, they assume a Res HF wave function to be superposed by two S-dets {vert_bar}g{sub 1}> {vert_bar}g{sub 2}> which give corresponding two local energy minima of monopole deformation. They make the self-consistent Res HF calculation so as to minimize the energy functional including up to the second order variation. The Res HF ground state generated with only two S-dets brings the ground state energy very near to the exact one and then explains most of the ground state correlation energy.

Physical Description

44 p.

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INIS; OSTI as DE94007271; Paper copy available at OSTI: phone, 865-576-8401, or email, reports@adonis.osti.gov

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  • Other Information: PBD: [1993]

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Office of Scientific & Technical Information Technical Reports

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  • December 31, 1993

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  • Nov. 3, 2018, 11:47 a.m.

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  • Nov. 19, 2018, 4:56 p.m.

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Nishiyama, Seiya. Application of the Resonating Hartree-Fock Theory to the Lipkin Model, report, December 31, 1993; Seattle, Washington. (https://digital.library.unt.edu/ark:/67531/metadc1319441/: accessed July 29, 2021), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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