Hydrogen Atom in a Strong Uniform Electric Field
The nonrelativistic Lo Surdo-Stark effect (LS-SE) for hydrogen atom in a uniform electric field is often considered as a completely understood problem. The reason for this is the following. The Schrödinger equation for the LS-SE is separable in parabolic coordinates and, consequently, it can be reduced to the solution of two ordinary differential equations linked by the condition on separation constants. Therefore, at first sight, the problem, except maybe some technical difficulties, seems to be a trivial one. But it is not so. Even the technical difficulties connected with the separate ordinary differential equations originated from the LS-SE appeared to be not quite trivial and caused the creation of a new direction in physics and mathematics, namely, a large order perturbation theory (LOPT), which was discussed at this meeting by Silverstone  and Silverman .
KeywordsQuantum Number Schrodinger Equation Uniform Electric Field Quasistationary State Rydberg Series
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- 1.H.J. Silverstone, Scientific program and abstracts of lectures, “Atom in Strong Firlds”, Kos, Greace, 1988.Google Scholar
- 2.J.H. Silverman and C.A. Nicolaides, Scientific program and abstracts of lectures, “Atom in Strong Firlds”, Kos, Greace, 1988.Google Scholar
- 4.R.J. Damburg and V.V. Kolosov, Rydberg States of Atoms and Molecules, eds. R.F. Stebbings and F.B. Dunning (Cambridge University Press, 1983), ch.2, pp.31-71.Google Scholar
- 5.R.R. Freeman and N.I. Economow, Phys.Rev. 420, 7356 (1979).Google Scholar
- D. Kondratovich and V.N. Ostrovsky, [Sov.Phys. JETP 56, 719 (1982)].Google Scholar
- 13.V. Kolosov, Pis’ma Zh. Eksp. Teor. Fiz. 44, 457 (1986).Google Scholar
- 14.V.N. Weinberg, V.D. Mur, V.S. Popov and A.V. Sergeev, Pis’ma Zh.Eksp.Teor.Fiz. 46, 178 (1987)Google Scholar
- 16.O. Bely, D. Moores and M.J. Seaton, Atomic Collision Processes (The Proceedings of III ICPEAC) éd. M.R.C. McDowell (North-Holland Publishing Company, 1964), pp.304-311.Google Scholar
- 26.K. Omidvar, Atomic Collision Processes, ed.M.R.C. McDowell (North-Holland Publishing Company, 1964) pp.318-23.Google Scholar