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It is proven that none of the bands in the quasi-energy spectrum of theQuantum Kicked Rotor is flat at any primitive resonance of any order.Perturbative estimates of bandwidths at small kick strength are established forthe case of primitive resonances of prime order. Different bands scale withdifferent powers of the kick strength, due to degeneracies in the spectrum ofthe free rotor.

On the Spectrum of the Resonant Quantum Kicked Rotor