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Note on the Hartree and Hartree-Fock Methods
Phys. Rev. 51, 577 – Published 1 April, 1937
DOI: https://doi.org/10.1103/PhysRev.51.577
Abstract
Certain limitations on the Hartree and Fock methods of handling many-body problems in quantum mechanics are discussed with the help of simple examples. One may treat the interaction in such problems as composed of two parts: first, a part which is correctly accounted for by the above methods, and secondly, a part which is entirely omitted in these approximations. If the latter type of interaction is not negligible one may be led to two types of solution of a problem; first, a complete set of orthogonal Hartree wave functions, and secondly, additional wave functions of entirely different nature from the Hartree functions. These two types of solution are not independent, however, and it is shown how to establish connections between them with the help of perturbation methods. The importance of these limitations in connection with the theory of nuclear structure is pointed out.
References (4)
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