Spectral properties of a periodically kicked quantum Hamiltonian |
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| Authors: | M Combescure |
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| Institution: | (1) Laboratoire de Physique Théorique et Hautes Energies (Laboratoire associé au Centre National de la Recherche Scientifique), Université de Paris XI, 91405 Orsay Cedex, France |
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| Abstract: | We study the spectral properties of the Floquet operator for the periodically kicked HamiltonianH(t) =H
0+    
+
–
 (t–nT),H
0 being self-adjoint and pure point. We show that the Floquet operator is pure point for almost every , if is cyclic forH
0 and has absolutely convergent expansion in the basis of eigenstates ofH
0. When this last condition is not satisfied, the Floquet operator can have a continuous spectrum, as we show by an example. |
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| Keywords: | Quantum stability problem periodically kicked systems |
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