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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- Löwdin, PO. Proc. Indian Acad. Sci. (Chem. Sci.) (1986) 96: 121. doi:10.1007/BF02974145
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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.