Abstract:
Consider the Floquet operator of a time independent quantum system, periodically perturbed by a rank one kick, acting on a separable Hilbert space: e-iH0T e-i#T |####| where T and # are the period and the coupling constant respectively. Assume the spectrum of the self adjoint operator H 0 is pure point, simple, bounded from below and the gaps between the eigenvalues ( # n) grow like: #n+1
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