On Formal Quasi-periodic Solutions of the Schrr Odinger Equation for a Two-level System with a Hamiltonian Depending Quasi-periodically on Time
نویسنده
چکیده
We consider the Schrr odinger equation for a class of two-level atoms in a quasi-periodic external eld for large coupling, i.e., for which the energy diierence 2 between the unperturbed levels is suuciently small. We show that this equation has a solution in terms of a formal power series in , with coeecients which are quasi-periodical functions of the time, in analogy to the Lindstedt-Poincar e series in classical mechanics.
منابع مشابه
Converging Perturbative Solutions of the Schrr Odinger Equation for a Two-level System with a Hamiltonian Depending Periodically on Time
We study the Schrr odinger equation of a class of two-level systems under the action of a periodic time-dependent external eld in the situation where the energy diierence 2 between the free energy levels is suuciently small with respect to the strength of the external interaction. Under suitable conditions we show that this equation has a solution in terms of converging power series expansions ...
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