Frequency-dependent multipole polarizabilities. II. Application of a reduced Green's function formulation of TDHF theory to the helium isoelectronic sequence

Journal Article · Fri Sep 15 04:00:00 EDT 1978 · J. Chem. Phys.; (United States)

DOI:https://doi.org/10.1063/1.436936· OSTI ID:6734128

McDowell, K; Lewis, L

A reduced Green's function formulation of time-dependent Hartree--Fock theory is developed using diagrammatic techniques. The resulting integral equations are transformed using a power moment approach. An asymptotic ansatz of the form exp)-(-2(epsilon/sub i/ minus-or-plus..omega..))/sup 1/2/r)amdagger polynomial is used to fit the radial functions phi/sup + -//sub l/(r). From these functions, the frequency-dependent dipole, quadrupole, and octapole polarizabilities of the helium isoelectronic sequence for Z=2--10 are calculated. Results are reported for the static case. It is found that the poles of the polarizabilities which correspond to TDHF excitation energies from the ground state can be accurately determined for highly excited states. These excitation energies are reported and are related to a Rydberg formula. The resulting quantum defects are also reported.

• Research Organization: Department of Chemistry and Geology, Clemson University, Clemson, South Carolina 29631
• OSTI ID: 6734128
• Journal Information: J. Chem. Phys.; (United States), Journal Name: J. Chem. Phys.; (United States) Vol. 69:6; ISSN JCPSA
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
ATOMIC IONS
ATOMS
CHARGED PARTICLES
CRYOGENIC FLUIDS
DEFECTS
ELECTRICAL PROPERTIES
ELEMENTS
FLUIDS
FUNCTIONS
GREEN FUNCTION
HELIUM
IONS
ISOELECTRONIC ATOMS
NONMETALS
PHYSICAL PROPERTIES
POLARIZABILITY
RARE GASES