Spectral properties of a periodically kicked quantum Hamiltonian |
| |
Authors: | M. Combescure |
| |
Affiliation: | (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 |
| |
Abstract: | We study the spectral properties of the Floquet operator for the periodically kicked HamiltonianH(t) =H0+ +– (t–nT),H0 being self-adjoint and pure point. We show that the Floquet operator is pure point for almost every , if is cyclic forH0 and has absolutely convergent expansion in the basis of eigenstates ofH0. When this last condition is not satisfied, the Floquet operator can have a continuous spectrum, as we show by an example. |
| |
Keywords: | Quantum stability problem periodically kicked systems |
本文献已被 SpringerLink 等数据库收录! |
|