Existence of Hartree–Fock solutions

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 betw...

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Veröffentlicht in:	J. Math. Phys. (N.Y.); (United States) 1980-08, Vol.21 (8), p.2297-2301
Hauptverfasser:	Rosensteel, G., Ihrig, Edwin
Format:	Artikel
Sprache:	eng
Schlagworte:	653007 - Nuclear Theory- Nuclear Models- (-1987) 658000 - Mathematical Physics- (-1987) BANACH SPACE CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS FERMIONS HAMILTONIANS HARTREE-FOCK METHOD HILBERT SPACE MANY-BODY PROBLEM MANY-DIMENSIONAL CALCULATIONS MATHEMATICAL OPERATORS MATHEMATICAL SPACE NUCLEAR PHYSICS AND RADIATION PHYSICS NUCLEAR STRUCTURE QUANTUM OPERATORS RANDOM PHASE APPROXIMATION SPACE
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Beschreibung
Zusammenfassung:	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.
ISSN:	0022-2488 1089-7658
DOI:	10.1063/1.524670