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Equation of motion of the correlated first-order density matrix for the ground-state of the Hookean atom with two electrons

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Abstract

The ground-state wave function Ψ for a given force constant k = 1/4 a.u. of the two-electron Hookean atom is known in exact analytical form. Here the corresponding first-order density matrix γ(r, r′) is studied, particular attention being focussed on its equation of motion. The exact form which results from the known Ψ is displayed, and given a physical interpretation. Harmonic confined model two-electron atoms with arbitrary interaction u(r 12) are also briefly referred to in the present context.

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Authors and Affiliations

  1. Abdus Salam International Centre for Theoretical Physics, Trieste, Italy

    N. H. March

  2. Department of Physics, University of Antwerp, Antwerp, Belgium

    N. H. March

  3. Oxford University, Oxford, UK

    N. H. March

  4. Dipartimento di Fisica e Astronomia, Università di Catania, Via S. Sofia, 64, 95123, Catania, Italy

    G. G. N. Angilella & R. Pucci

  5. Scuola Superiore di Catania, Università di Catania, Via Valdisavoia, 9, 95123, Catania, Italy

    G. G. N. Angilella

  6. CNISM, UdR di Catania, Via S. Sofia, 64, 95123, Catania, Italy

    G. G. N. Angilella & R. Pucci

  7. Istituto Nazionale di Fisica Nucleare, Sezione di Catania, Via S. Sofia, 64, 95123, Catania, Italy

    G. G. N. Angilella

Authors
  1. N. H. March
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  2. G. G. N. Angilella
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  3. R. Pucci
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Corresponding author

Correspondence to G. G. N. Angilella.

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March, N.H., Angilella, G.G.N. & Pucci, R. Equation of motion of the correlated first-order density matrix for the ground-state of the Hookean atom with two electrons. J Math Chem 50, 914–919 (2012). https://doi.org/10.1007/s10910-011-9934-0

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  • DOI: https://doi.org/10.1007/s10910-011-9934-0

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