Upper and lower bounds to critical values of the Hartree operator. [Ritz analogous procedure]

Journal Article · Mon Nov 01 04:00:00 EST 1976 · Int. J. Quant. Chem.; (United States)

DOI:https://doi.org/10.1002/qua.560100609· OSTI ID:7312290

Behling, R; Bongers, A; Kuepper, T

Upper and lower bounds for the minimal critical energy E of the Hartree operator for helium are calculated. It is shown that a Ritz analogous procedure for the calculation of the upper bounds converges to the exact value. The lower bound to E yields that the ground state E/sub H/ of the helium atom is strictly lower than 2E.

• Research Organization: Univ., Cologne
• OSTI ID: 7312290
• Journal Information: Int. J. Quant. Chem.; (United States), Journal Name: Int. J. Quant. Chem.; (United States) Vol. 10:6; ISSN IJQCB
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
BOUNDARY CONDITIONS
CRYOGENIC FLUIDS
ELEMENTS
ENERGY DEPENDENCE
ENERGY LEVELS
FLUIDS
GROUND STATES
HARTREE-FOCK METHOD
HELIUM
MATHEMATICAL OPERATORS
NONMETALS
RARE GASES