1977The Journal of Chemical PhysicsRequires access

Method of the orthonormality-constrained variation: A pair of basis sets and the pair-orthogonality

Tetsuo Morikawa

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Abstract

The orthogonality between sets of basis vectors, referred below to as pair-orthogonality, is examined from a variational point of view. Both how to constitute pair-orthogonal vectors and how to retain the pair-orthogonality conditions in the course of variation are presented. The relation of the vectors to canonically orthonormalized Löwdin vectors is noted.

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What this paper is about

The orthogonality between sets of basis vectors, referred below to as pair-orthogonality, is examined from a variational point of view. Both how to constitute pair-orthogonal vectors and how to retain the pair-orthogonality conditions in the course of variation are presented. The relation of the vectors to canonically orthonormalized Löwdin vectors is noted.

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Available abstract

The orthogonality between sets of basis vectors, referred below to as pair-orthogonality, is examined from a variational point of view. Both how to constitute pair-orthogonal vectors and how to retain the pair-orthogonality conditions in the course of variation are presented. The relation of the vectors to canonically orthonormalized Löwdin vectors is noted.

Key concepts: Orthonormality, Orthogonality, Basis (linear algebra), Variation (astronomy), Mathematics, Relation (database), Point (geometry), Orthogonal basis

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