A new analytical solving for electric polarizabilities of hydrogen-like atoms

2014/10/29 by V.F. Kharchenko, V. F. Kharchenko, Kharchenko, V. F.
Chemistry · Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Spectroscopy and Laser Applications #physics.atom-ph

paper · pdf · doi:10.48550/arxiv.1410.7901

20 pages

arxiv created 2014/10/29 · arxiv updated 2014/10/30

Abstract

The direct transition-matrix approach to the description of the electric polarization of the quantum bound system of particles is used to determine the electric multipole polarizabilities of the hydrogen-like atoms. It is shown that in the case of the bound system formed by the Coulomb interaction the corresponding inhomogeneous integral equation determining an off-shell scattering function, which consistently describes virtual multiple scattering, can be solved exactly analytically for all electric multipole polarizabilities. Our method allows to reproduce the known Dalgarno-Lewis formula for electric multipole polarizabilities of the hydrogen atom in the ground state and can also be applied to determine the polarizability of the atom in excited bound states.

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