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General-science Group Research Article 記事ID: igmin266

Gaussian-Transform for the Dirac Wave Function and its Application to the Multicenter Molecular Integral Over Dirac Wave Functions for Solving the Molecular Matrix Dirac Equation

Physics MathematicsBiophysics DOI10.61927/igmin266 Affiliation

Affiliation

    Kazuhiro Ishida, 219-48 Matsugasaki, Kashiwa City, Chiba 277-0835, Japan, Email: [email protected]

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要約

Gaussian-transform formula is derived for the Dirac wave function. Using it, one can derive the multicenter molecular integral over Dirac wave functions for any physical quantity. As the first application of it, multicenter molecular integrals over Dirac wave functions are derived for the homogeneous charge density distribution model and the Gauss-type charge density distribution model. Such integrals are necessary for solving the gauge-invariant molecular matrix Dirac equation with using the restricted magnetic balance.

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