Some Simple Results Following from Löwdin’s Partitioning Technique
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It is shown that several simple theorems follow from Löwdin’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.
Keywordspartitioning technique eigenvector matrix rank
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