Hydrogen atom under a sequence of static multipole perturbations: Wave-function corrections

Journal Article · Wed Jan 01 04:00:00 EST 1986 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.33.717· OSTI ID:6174854

Au, C K

A closed-form expression is obtained for , where phi0 is the nonrelativistic hydrogenic ground state, V is a sum of static multipole perturbations of the form A/sub L/lr/sup L/P/sub l/, L> or =l, G = Q(E0-H0) Q is the projected static Green operator, and Q = 1-Vertical Barphi0>, where )V/sub m/,V/sub m/-1,...,V1) is a set of static multipole perturbations. This quantity is of great interest in the computation of sum rules, high-order wave-function corrections due to multipole perturbations, and the adiabatic and nonadiabatic potentials in the scattering of a charged particle by a hydrogenic ion and in the interaction between a Rydberg electron and the core ion in high Rydberg states of heliumlike ions.

• Research Organization: Department of Physics University of South Carolina, Columbia, South Carolina 29208
• OSTI ID: 6174854
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 33:1; 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
ATOMS
CHARGED PARTICLES
CORRECTIONS
DISTURBANCES
ELECTRONIC STRUCTURE
ELECTRONS
ELEMENTARY PARTICLES
ELEMENTS
EQUATIONS
FERMIONS
FUNCTIONS
HYDROGEN
IONS
LEPTONS
MATHEMATICAL OPERATORS
NONMETALS
PARTICLE KINEMATICS
PROJECTION OPERATORS
RAYLEIGH-SCHROEDINGER FORMULA
SUM RULES
WAVE FUNCTIONS