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3 June 2002 Laser-induced and spontaneous formation of Saturnian hydrogen atoms in low-density plasma
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Non-dispersing wave packet states of the electron in a hydrogen atom in constant magnetic and rotating electric fields are considered. These states, referred as the states of Satrurnian atom, may be presented as eigenstates of an effective Hamiltonian in the coordinate frame rotating with the electric field. We start from solving the eigenvalue problem in the plane zequals0 of the electron wave packet orbit. General approach valid for arbitrary z is formulated in terms of the solutions of a parametric eigenvalue problem. The results of 2D calculations are used to justify the rough approximation for the wave functions of the ground oscillatory and the continuum states. Using these functions the probabilities of induced and spontaneous transitions from the lower continuum state to the ground state of a Saturnian atom are roughly estimated in a very simple analytical way.
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Vladislav V. Serov, Vladimir L. Derbov, Aleksey I. Bychenkov, D. V. Pavlov, and Sergey I. Vinitsky "Laser-induced and spontaneous formation of Saturnian hydrogen atoms in low-density plasma", Proc. SPIE 4706, Saratov Fall Meeting 2001: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling II, (3 June 2002);

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