03-203 Guido Gentile

Pure point spectrum for two-level systems in a strong quasi-periodic field (307K, PostScript) Apr 30, 03

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Abstract. We consider two-level atoms in a strong external quasi-periodic field with Diophantine frequency vector. We show that if the field is an analytic function with zero average, then for a large set of values of its frequency vector, characterized by imposing infinitely many Diophantine conditions, the spectrum of the quasi-energy operator is pure point, as in the case of non-zero average which was already known in literature.

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