Precise nonvariational calculations on the helium atom

Journal Article · Thu Dec 15 04:00:00 EST 1988 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.38.5995· OSTI ID:6609753

Haftel, M I; Mandelzweig, V B

The Schroedinger equation is solved directly for the ground state and excited 2 /sup 1/S state of the helium atom by using a rapidly convergent hyperspherical method which involves no adjustable parameters. The double and triple coalescence points are taken into account analytically. The center-of-mass motion is treated nonperturbatively, and the cases of infinite and finite nuclear masses are considered. The inclusion of 169 hyperspherical functions yields the precision of a few parts in 10/sup 9/ and 10/sup 8/ for the expectation value of the Hamiltonian operator and for all other expectation values, respectively, for the ground state, with only slightly less accuracy for the excited state.

• Research Organization: Code 4651, Naval Research Laboratory, Washington, D.C. 20375
• OSTI ID: 6609753
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 38:12; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
ACCURACY
ANALYTICAL SOLUTION
ATOMS
DIFFERENTIAL EQUATIONS
ELECTRONIC STRUCTURE
ELEMENTS
ENERGY LEVELS
EQUATIONS
EXCITED STATES
FLUIDS
FUNCTIONS
GASES
GROUND STATES
HELIUM
MANY-BODY PROBLEM
NONMETALS
PARTIAL DIFFERENTIAL EQUATIONS
RARE GASES
SCHROEDINGER EQUATION
THREE-BODY PROBLEM
WAVE EQUATIONS
WAVE FUNCTIONS