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13 July 2004 Some new approaches to modeling wave packets of Rydberg states
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We propose an approximate method for modeling the so-called Trojan wave packets of Rydberg states in a hydrogen-like atom subjected to a circularly polarized microwave field and a constant magnetic field. The method implies the reduction of the Schrodinger wave equation to a set of ordinary nonlinear differential equations for the parameters of the wave packet. Earlier we applied this method to solve the Schrodinger-like parabolic equation in nonlinear optics to describe misaligned beams in waveguide systems. The optimal values of the wave packet initial parameters are obtained. The numerical solution of the obtained differential equations show, that for these parameters the Trojan wave packet moves along a circle orbit.
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Vladimir L. Derbov, Aleksey I. Bychenkov, Natalja I. Teper, and Vladislav V. Serov "Some new approaches to modeling wave packets of Rydberg states", Proc. SPIE 5476, Saratov Fall Meeting 2003: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling IV, (13 July 2004);

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