4.2 Article

Some simple results following from Lowdin's partitioning technique

Journal

JOURNAL OF MATHEMATICAL CHEMISTRY
Volume 42, Issue 1, Pages 59-64

Publisher

SPRINGER
DOI: 10.1007/s10910-006-9097-6

Keywords

partitioning technique; eigenvector; matrix rank

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It is shown that several simple theorems follow from Lowdin's partitioning technique. Our results concern the properties of matrices whose eigenvectors have linearly dependent parts. It is also demonstrated that the solutions of most energy eigenvalue problems satisfy a non-trivial manifold of quadratic equations in energy.

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