Investigation of avoided crossings in the adiabatic hyperspherical potential curves of the helium atom

Journal Article · Tue May 01 00:00:00 EDT 1990 · Physical Review, A (General Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevA.41.4696· OSTI ID:6941590

Zhen, Z; Macek, J ^[1]

---

1. Department of Physics, University of Tennessee, Knoxville, TN (USA) Department of Astronomy, University of Tennessee, Knoxville, TN (USA)

Using an asymptotic expansion and the hyperspherical adiabatic approximation, we obtain a representation of the Scrhoedinger equation for the helium atom and its isoelectronic ions for large values of the hyper-radius. We solve the lowest-order equation for the channel wave functions with boundary conditions imposed by exchange symmetry. Diagonalization of the potential matrix, keeping only terms through second order in the symmetrized basis set, gives potential curves that show avoided crossings essential for the interpretation of atomic dynamics.

• OSTI ID: 6941590
• Journal Information: Physical Review, A (General Physics); (USA), Journal Name: Physical Review, A (General Physics); (USA) Vol. 41:9; ISSN PLRAA; ISSN 0556-2791
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
DIFFERENTIAL EQUATIONS
DISTANCE
ELECTRONIC STRUCTURE
ELEMENTS
ENERGY
EQUATIONS
FLUIDS
GASES
HELIUM
INTERACTION RANGE
ISOELECTRONIC ATOMS
MANY-BODY PROBLEM
NONMETALS
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIAL ENERGY
RARE GASES
SCHROEDINGER EQUATION
THREE-BODY PROBLEM
WAVE EQUATIONS