32 research outputs found

    Symmetric Tensor Decomposition Description of Fermionic Many-Body Wavefunctions

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    The configuration interaction (CI) is a versatile wavefunction theory for interacting fermions but it involves an extremely long CI series. Using a symmetric tensor decomposition (STD) method, we convert the CI series into a compact and numerically tractable form. The converted series encompasses the Hartree-Fock state in the first term and rapidly converges to the full-CI state, as numerically tested using small molecules. Provided that the length of the STD-CI series grows only moderately with the increasing complexity of the system, the new method will serve as one of the alternative variational methods to achieve full-CI with enhanced practicability.Comment: 10 pages, 6 figure

    Francisci Vietae opera mathematica

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    in unum volumen congesta, ac recognita, opera atque studio Francisci a Schooten Leydensis ..

    Introduction en l'art analytic, ou nouvelle algèbre

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    de François Vièt

    Viète, Descartes and the cubic equation

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    Francisci Vietae Fontenaeensis, De Æqvationvm Recognitione Et Emendatione Tractatvs Dvo

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    Supralibros der Naturforschenden Gesellschaft in Zürich Exemplar der ZB Züric

    Francisci Vietaei Vniuersalium inspectionum ad canonem mathematicum liber singularis

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    Sign.: [cruz latina]_4_, A-G_4_, H_6_, I_4_, X_2_Iniciales y frisos xilográficosCopia digital. Madrid : Ministerio de Educación, Cultura y Deporte. Subdirección General de Coordinación Bibliotecaria, 201

    Francisci Vietae opera mathematica, in unum volumen congesta, ac recognita

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    Copia digital. Madrid : Ministerio de Cultura. Subdirección General de Coordinación Bibliotecaria, 200
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