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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. (Update)
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BibTeX entry: (Update)
@misc{ isica-formal,
author = "Instituto De Isica",
title = "On Formal Quasi-Periodic Solutions of the Schrodinger Equation for a Two-Level
System with a Hamiltonian Depending Quasi-Periodically on Time Jo~ao C.
A. Barata",
url = "citeseer.ist.psu.edu/764032.html" }
Citations (may not include all citations):134 Concrete Mathematics - A Foundation for Computer Science (context) - Graham, Knuth et al. - 1994
88 An Introduction to Harmonic Analysis (context) - Katznelson - 1978
29 Absolutely Convergent Series Expansions for Quasi Periodic M.. - Eliasson - 1996
18 Methods for the Analysis of the Lindstedt Series for KAM Tor.. - Gentile, Mastropiero - 1996
12 Twistless KAM Tori - Gallavotti - 1994
7 Atoms and Oscillators in Quasi-Periodic External Fields (context) - Wreszinski - 1997
7 Models of Two Level Atoms in Quasiperiodic External Fields (context) - Wreszinski, Casmeridis - 1998
7 Spectral and Stability Aspects of Quantum Chaos (context) - Jauslin, Lebowitz - 1991
7 Renormalization in Classical Mechanics and Many Body Quantum.. - Feldman, Trubowitz - 1992
5 Stability and Chaos in Classical and Quantum Hamiltonian Sys.. (context) - Jauslin - 1993
3 Some Metrical Theorems in Diophantine Approximation (context) - Cassels - 1950
3 Uber fastperiodische ebene Bewegungen (context) - Bohr - 1932
3 Uber eine Differentialgleichung der Storungstheorie (context) - Bohl - 1906
2 Zur Theorie der fastperiodischen Funktionen (context) - Bohr - 1924
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