Pure point spectrum for the time-evolution of a periodicallyrank-N kicked Hamiltonian
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چکیده
We find the conditions under which the spectrum of the unitary timeevolution operator for a periodically rank-N kicked system remains pure point. This stability result allows one to analyse the onset of, or lack of chaos in this class of quantum mechanical systems, extending the results for rank-1 systems produced by Combescure and others. This work includes a number of unitary theorems equivalent to those well known and used in the self-adjoint theory.
منابع مشابه
40 06 v 2 3 0 A ug 2 00 4 Pure point spectrum for the time evolution of a periodically rank - N kicked Hamiltonian
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 to analyse the onset of, or lack of chaos in this class of quantum mechanical systems, extending the results for rank-1 systems produced by Combescure and others. This work includes a number of unitary theorems equiva...
متن کاملar X iv : m at h - ph / 0 40 40 06 v 1 2 A pr 2 00 4 Pure point spectrum for the time evolution of a periodically rank - N kicked Hamiltonian
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 to analyse the onset of, or lack of chaos in this class of quantum mechanical systems, extending the results for rank-1 systems produced by Combescure and others. This work includes a number of unitary theorems equiva...
متن کاملar X iv : m at h - ph / 0 40 40 06 v 3 1 7 Fe b 20 05 Pure point spectrum for the time - evolution of a periodically rank - N kicked Hamiltonian
We find the conditions under which the spectrum of the unitary timeevolution operator for a periodically rank-N kicked system remains pure point. This stability result allows one to analyse the onset of, or lack of chaos in this class of quantum mechanical systems, extending the results for rank-1 systems produced by Combescure and others. This work includes a number of unitary theorems equival...
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By a straightforward generalisation, we extend the work of Combescure [J. Stat. Phys. 59, 679 (1990)] from rank-1 to rank-N perturbations. The requirement for the Floquet operator to be pure point is established and compared to that in Combescure. The result matches that in McCaw and McKellar [J. Math. Phys. 46, 032108 (2005)]. The method here is an alternative to that work. We show that if the...
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تاریخ انتشار 2005