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arXiv · 1410.7901

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

V. F. Kharchenko
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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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V. F. Kharchenko. 2014-10-29. A new analytical solving for electric polarizabilities of hydrogen-like atoms. https://arxiv.org/abs/1410.7901

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