Hartree-Fock-like partitioning of the two-matrix for an exactly solvable two-electron model atom

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.034502· OSTI ID:21541403

Nagy, I ^[1]; Pipek, J ^[1]

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1. Department of Theoretical Physics, Institute of Physics, Technical University of Budapest, H-1521 Budapest (Hungary)

Using a Hartree-Fock-like partitioning of the two-matrix in terms of the true correlated one-matrix, the corresponding approximate ground-state energy E{sub 0} is calculated for an exactly solvable closed-shell system proposed earlier by Moshinsky [Am. J. Phys. 36, 52 (1968)]. Comparisons of E{sub 0} with the Hartree-Fock ground-state energy E{sub HF} and the exact ground-state energy E{sub ex} are made. These comparisons provide valuable insight into the usefulness of a Hartree-Fock-like partitioning of the two-matrix with repulsive interparticle potentials. In particular, an explicit quantification for the applicability limit of Lieb's [Phys. Rev. Lett. 46, 457 (1981)] bound E{sub 0{>=}}E{sub HF} with unbounded oscillator potentials is given.

• OSTI ID: 21541403
• Journal Information: Physical Review. A, Vol. 83, Issue 3; Other Information: DOI: 10.1103/PhysRevA.83.034502; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ATOMS
ELECTRONS
EXACT SOLUTIONS
GROUND STATES
HARTREE-FOCK METHOD
MATRICES
OSCILLATORS
POTENTIALS
TWO-BODY PROBLEM
APPROXIMATIONS
CALCULATION METHODS
ELECTRONIC EQUIPMENT
ELEMENTARY PARTICLES
ENERGY LEVELS
EQUIPMENT
FERMIONS
LEPTONS
MANY-BODY PROBLEM
MATHEMATICAL SOLUTIONS