98-252 Barata J. C. A.

On Formal Quasi-Periodic Solutions of the Schroedinger Equation for a Two-Level System with a Hamiltonian Depending Quasi-Periodically on Time (331K, Postscript) Apr 1, 98

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Abstract. We consider the Schroedinger equation for a class of two-level atoms in a quasi-periodic external field for large coupling, i.e., for which the energy difference between the unperturbed levels is sufficiently small. We show that this equation has a solution in terms of a formal power series, with coefficients which are quasi-periodical functions of the time, in analogy to the Lindstedt-Poincare' series in classical mechanics.

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