On Formal Quasi-Periodic Solutions of the Schrodinger Equation for a TwoLevel System with a Hamiltonian Depending Quasi-Periodically on Time (2000) [3 citations — 2 self]

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by Jo~ao C. A. Barata

Rev. Math. Phys

http://www.fma.if.usp.br/~jbarata/artigos/qp.ps.gz

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@ARTICLE{Barata00onformal,
    author = {Jo~ao C. A. Barata},
    title = {On Formal Quasi-Periodic Solutions of the Schrodinger Equation for a TwoLevel System with a Hamiltonian Depending Quasi-Periodically on Time},
    journal = {Rev. Math. Phys},
    year = {2000},
    volume = {12},
    pages = {25--64}
}

Abstract:

Abstract: We consider the Schrodinger equation for a class of two-level atoms in a quasi-periodic external field for large coupling, i.e., for which the energy difference 2ffl between the unperturbed levels is sufficiently small. We show that this equation has a solution in terms of a formal power series in ffl, with coefficients which are quasi-periodical functions of the time, in analogy to the Lindstedt-Poincar'e series in classical mechanics. 1

Citations

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