Solution of Dyson's equation employing Siegert boundary conditions

Peter Winkler, Robert Yaris, and Ronald Lovett
Phys. Rev. A 23, 1787 – Published 1 April 1981
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Abstract

The use of Siegert boundary conditions in a direct solution of the Dyson equation for poles of the one-particle Green's function corresponding to resonances of the (N±1)-particle systems is discussed and the pertinent complex pseudoeigenvalue problem is formulated as an implicit matrix eigenvalue equation. Thus the calculational setup is very similar to the methods employed in calculating atomic and molecular ionization potentials. Particular emphasis is laid upon the asymptotic expansion of the diverging Siegert orbital.

  • Received 23 July 1979

DOI:https://doi.org/10.1103/PhysRevA.23.1787

©1981 American Physical Society

Authors & Affiliations

Peter Winkler

  • Lehrstuhl für Theoretische Chemie, Universität Erlangen Nürnberg, D-8520 Erlangen, West Germany and Department of Physics, University of Nevada, Reno, Nevada 89557

Robert Yaris and Ronald Lovett

  • Department of Chemistry, Washington University, St. Louis, Missouri 63130

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Vol. 23, Iss. 4 — April 1981

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