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