Journal of Mathematical Chemistry

, Volume 42, Issue 1, pp 59–64 | Cite as

Some Simple Results Following from Löwdin’s Partitioning Technique

  • Arteum D. Bochevarov
  • C. David. Sherrill

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.


partitioning technique eigenvector matrix rank 


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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Center for Computational Molecular Science and Technology, School of Chemistry and BiochemistryGeorgia Institute of TechnologyAtlantaUSA

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