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Limitations and validity of the Hartree-Fock method

Ограничения и применимость метода Хартри-Фока

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

The problem of existence and uniqueness of solutions of the Hartree-Fock equations is studied by means of the Lyusternik-Schrinlmann category theory. In the case of a box with all the states with negative energies the existence and uniqueness of the solutions is discussed.

Riassunto

Si studia il problema di esistenza ed unicità delle soluzioni delle equazioni di Hartree-Fock facendo uso della teoria della categoria di Lyusternik-Schrinlmann. Nel caso che le funzioni siano definite in una scatola comunque grande ma finita con tutti gli stati aventi energia negativa, si discute l’esistenza ed unicità delle soluzioni.

Резюме

Исследуется проблема существования и единственности решений уравнений Хартри-Фока с помощью теории категорий Люстерника-Шринлманна. В некоторых случаях обсуждается существование и единственность решений, предполагая, что в ящике существуют все состояния с отрицательными энергиями.

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Authors and Affiliations

  1. Istituto di Fisica dell’Università, Roma

    L. Pietronero

  2. Scuola Normale Superiore, Pisa

    F. Zirilli

Authors
  1. L. Pietronero
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  2. F. Zirilli
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Pietronero, L., Zirilli, F. Limitations and validity of the Hartree-Fock method. Nuov Cim B 24, 57–62 (1974). https://doi.org/10.1007/BF02724032

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  • DOI: https://doi.org/10.1007/BF02724032

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