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Chemical Physics Letters
Volume 400, Issues 1-3, 11 December 2004, Pages 90-93
 
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doi:10.1016/j.cplett.2004.10.075    
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Copyright © 2004 Elsevier B.V. All rights reserved.

Extraction of ionization energies from the ground-state two-particle reduced density matrix

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John D. Farnum and David A. MazziottiCorresponding Author Contact Information, E-mail The Corresponding Author

Department of Chemistry, James Franck Institute, The University of Chicago, Chicago, IL 60637, USA


Received 3 September 2004; 
revised 20 October 2004. 
Available online 11 November 2004.

Abstract

Two methods for extracting ionization energies from the two-particle reduced density matrix (2-RDM) are explored: (i) diagonalization of the Hamiltonian in the basis of a single annihilation operator applied to the ground-state wave function |Ψgright-pointing angle bracket and (ii) diagonalization of the Hamiltonian in the basis of two annihilation and one creation operators applied to the ground-state |Ψgright-pointing angle bracket. While the second basis set is more accurate, its Hamiltonian matrix elements depend upon the 3- and 4-RDMs. Using cumulant theory, however, we can approximate the 3- and 4-RDMs as functionals of the 2-RDM. Both methods are illustrated with calculations on a series of atoms and molecules.

Article Outline

1. Introduction
2. Derivation of ionization energy formula
2.1. Basis construction
2.2. Hamiltonian construction
2.3. Cumulant expansion
3. Results
4. Conclusion
Acknowledgements
References

Corresponding Author Contact InformationCorresponding author

Chemical Physics Letters
Volume 400, Issues 1-3, 11 December 2004, Pages 90-93
 
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