Existence of Hartree–Fock solutions
- 1 August 1980
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 21 (8) , 2297-2301
- https://doi.org/10.1063/1.524670
Abstract
For a finite‐dimensional space with only a mild restriction on the Hamiltonian, it is shown that there exist at least as many Hartree–Fock states as the dimension of the many‐fermion space. The index of the random phase approximation matrix is determined for these HF states and the relationship between that index and the number of real and complex excitation energies established.Keywords
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