Exact nonrelativistic expressions for the tensor for scattering of light by atoms |
| |
Authors: | M A Preobrazhenskii |
| |
Institution: | (1) Voronezh State Academy of Architecture and Civil Engineering, 394000 Voronezh, Russia |
| |
Abstract: | Exact nonrelativistic analytical expressions are derived for dipole two-photon transitions between arbitrary multiplets of
the hydrogen atom and positive hydrogenlike ions. The result is expressed in terms of a single Gauss hypergeometric function
and polynomials whose degrees increase linearly with the number of nodes of the bound states of the quantum system. The cross
sections of elastic scattering of light by K-and L-shells of the hydrogen atom are given as an example. It is demonstrated that by expanding the discrete-spectrum wave functions
in ultraspherical polynomials it is also possible to obtain analytical expressions of the cross sections of two-photon transitions
between states described by the Simons model potential. The basis consisting of Chebyshev polynomials is shown to be the best
expansion basis, and the coefficients of such an expansion are given for a broad range of parameters of the problem. Calculation
of the polarizability of the 5S-state of the rubidium atom is chosen as an example. Finally, the results are compared with the experimental data and the
theoretical results of other researchers.
Zh. éksp. Teor. Fiz. 111, 816–830 (March 1997) |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|