Acta Physica Academiae Scientiarum Hungaricae

, Volume 7, Issue 3, pp 357–364 | Cite as

On a new exchange potential

  • P. Szépfalusy
Article

Abstract

In the investigation of systems consisting of particles of spin 1/2 by the Hartree-Fock method there occurs the operator of exchange interaction. The semi-classical analogue of this operator is known for various interaction potentials. The purpose of this paper is to present a method which makes possible a more accurate determination of the semi-classical analogue of the exchange operator. The detailed calculations have been carried out for the Coulomb potential.

О новом обменном потенциале

Резюме

При рассмтрении систем, состоящих из частиц с половинными спинами, методом Гартри—Фока появляется оператор обменного взаимодействия. Полуклассический аналог этого оператора известен в случае различных потенциалов взаимодействия. Целью работы является показать метод, дающий возможность более точно определить полуклассический аналог обменного оператора. Детальный расчет проведен в случае кулоновского потенциала.

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References

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    P. A. M. Dirac, Proc. Camb. Phil. Soc.,26, 376, 1930.Dirac did not take into account the fact that the exchange interaction only occurs between particles of parallel spin and thus he obtained twice the correct result.MATHCrossRefGoogle Scholar
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    SeeP. Gombás, l. c. p. 6.MATHGoogle Scholar

Copyright information

© with the authors 1957

Authors and Affiliations

  • P. Szépfalusy
    • 1
  1. 1.Physical InstituteUniversity for Technical SciencesBudapest

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