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Rules of Correspondence in Atomic Physics

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Dyugaev,  A. M.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Dyugaev, A. M., & Lebedeva, E. V. (2016). Rules of Correspondence in Atomic Physics. JETP Letters, 103(1), 57-61. doi:10.1134/S0021364016010069.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002A-5DC5-5
Abstract
The Smirnov method of analytic continuation (B.M. Smirnov, Sov. Phys. JETP 20, 345 (1964)) has been justified and developed for atomic physics. It has been shown that the polarizability of alkali atoms a, their van der Waals interaction constant C-6, and the oscillator strength of the transition to the first P state f(01) are related to the parameter < r(2)> and gap in the spectrum Delta as 3/2 f/Delta approximate to 3/2 alpha Delta approximate to (3C(6)Delta)(1/2) < r(2)>. The average square of the coordinate of the valence electron < r(2)> in the first approximation has a hydrogen dependence < r(2)>(0) = 1/2v(2)(1 + 5v(2)) on the filling factor., which is defined in terms of the first ionization potential: J(1) = 1/2v(2)