Radial and angular correlations of two excited electrons. III. Comparison of configuration-interaction wave functions with adiabatic channel functions in hyperspherical coordinates

Journal Article · Sat Jan 01 04:00:00 EST 1983 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.27.22· OSTI ID:6248064

Lin, C D

Wave functions for doubly excited states of helium /sup 1,3/S/sup e/ states calculated in the configuration-interaction (CI) method are examined in hyperspherical coordinates. It is shown that these wave functions are essentially identical to the wave functions calculated in the adiabatic approximation except in regions where the charge density is vanishingly small. This comparison establishes the connection between the classification of doubly excited states based upon the adiabatic approximation in hyperspherical coordinates and the classification of Herrick and Sinanoglu which is based upon the approximate CI wave functions. It is also shown that states calculated from the CI method which have similar quantum defects have the same correlation patterns except in regions where the charge density is small. This establishes the approximate channel classification of doubly excited states as implied in the adiabatic approximation in hyperspherical coordinates.

• Research Organization: Department of Physics, Kansas State University, Manhattan, Kansas 66506
• OSTI ID: 6248064
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 27:1; 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
ADIABATIC APPROXIMATION
ANGULAR CORRELATION
COMPARATIVE EVALUATIONS
CONFIGURATION INTERACTION
CORRELATIONS
ELECTRONS
ELEMENTARY PARTICLES
ELEMENTS
ENERGY LEVELS
EXCITED STATES
FERMIONS
FLUIDS
FUNCTIONS
GASES
HELIUM
LEPTONS
MANY-BODY PROBLEM
NONMETALS
RARE GASES
TWO-BODY PROBLEM
WAVE FUNCTIONS