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math-ph2005★ 3 cited
On the continuous spectral component of the Floquet operator for a periodically kicked quantum system
J. M. McCaw, B. H. J. McKellar
By a straightforward generalisation, we extend the work of Combescure from rank-1 to rank-N perturbations. The requirement for the Floquet operator to be pure point is established…
math-ph2005★ 2 cited
Quantum Chaos: Spectral Analysis of Floquet Operators
James Matthew McCaw
The Floquet operator, defined as the time-evolution operator over one period, plays a central role in the work presented in this thesis on periodically perturbed quantum systems. K…
math-ph2004★ 5 cited
Pure point spectrum for the time evolution of a periodically rank-N kicked Hamiltonian
J. M. McCaw, B. H. J. McKellar
We find the conditions under which the spectrum of the unitary time evolution operator for a periodically rank-N kicked system remains pure point. This stability result allows one…