Restricted quantum-mechanical three-body problems. III - Asymptotic eigenvalues and wave functions of an electron in the field of a generalized dipole

Details Restricted quantum-mechanical three-body problems. III - Asymptotic eigenvalues and wave functions of an electron in the field of a generalized dipole Restricted quantum-mechanical three-body problems. III - Asymptotic eigenvalues and wave functions of an electron in the field of a generalized dipole

Mar 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ap%26ss.100..185b&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 100, no. 1-2, March 1984, p. 185-218.

Astronomy and Astrophysics

Astrophysics

1

Electric Dipoles, Electron Scattering, Helium Ions, Quantum Mechanics, Schroedinger Equation, Three Body Problem, Wave Functions, Asymptotic Methods, Coulomb Potential, Differential Equations, Eigenvalues, Series Expansion

Scientific paper

Eigenvalues and normalized wave functions of an electron are derived in the field of a 'generalized dipole' with charges Z1 and Z2 (Z1+Z2≠0) in the asymptotic region up to the third order (in r2) where the distance, r2, between the two charges is small. These asymptotic wave functions render it possible to calculate the asymptotic expansion for the coefficients of a coupled infinite system of second order differential equations arising from a perturbative (analytic) solution to the Schrödinger equation of helium-like ions if the nuclear charge is not less than 2.

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