High-energy asymptotic behavior of the dipole-oscillator-strength density and a new ''modified'' dipole-oscillator-strength sum rule for nonrelativistic N-electron atoms and molecules

Journal Article · Thu Nov 01 00:00:00 EST 1984 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.30.2339· OSTI ID:6212512

Struensee, M C

The high-energy asymptotic behavior of the oscillator-strength distribution of nonrelativistic N-electron atoms and molecules is examined. A derivation is presented which leads to the coefficients of the first two asymptotic terms of the oscillator-strength density in terms of expectation values of the wave function. Furthermore, it is shown that truncating the contribution of these first two terms beyond some cutoff energy leads to a sum rule for the third moment of the resulting modified distribution. Numerical calculations have been performed on atomic hydrogen which illustrate the sum rule for the third moment of the modified distribution.

• Research Organization: Department of Physics, University of Texas at Austin, Austin, Texas 78712
• OSTI ID: 6212512
• Journal Information: Phys. Rev. A; (United States), Vol. 30:5
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
OSCILLATOR STRENGTHS
MOLECULES
DENSITY
DIPOLES
DISTRIBUTION
MANY-BODY PROBLEM
SUM RULES
EQUATIONS
MULTIPOLES
PHYSICAL PROPERTIES
640305* - Atomic
Molecular & Chemical Physics- Atomic & Molecular Theory- (-1987)