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A generalization of Brillouin's theorem and the stability conditions in the quantum-mechanical variation principle in the case of general trial wave functions

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Abstract

In connection with the quantum-mechanical variation principle, it is shown that the Brillouin theorem and the stability conditions usually associated with the Hartree-Fock scheme in the many-electron theory may be generalized to the case of arbitrary trial functions depending on a set of linear or non-linear complex parameters.

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Authors and Affiliations

  1. Quantum Theory Project, Departments of Chemistry and Physics, University of Florida, 32611, Gainesville, Fl, USA

    Per-Olov Löwdin

  2. Uppsala University, Uppsala, Sweden

    Per-Olov Löwdin

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  1. Per-Olov Löwdin
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Dedicated to Professor Sadhan Basu on the occasion of his 65th birth anniversary

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Löwdin, PO. A generalization of Brillouin's theorem and the stability conditions in the quantum-mechanical variation principle in the case of general trial wave functions. Proc. Indian Acad. Sci. (Chem. Sci.) 96, 121–126 (1986). https://doi.org/10.1007/BF02974145

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  • DOI: https://doi.org/10.1007/BF02974145

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