2004/04/30 by J. M. McCaw, James McCaw, B. H. J. McKellar · 1 citation
Mathematics · Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.SP #nlin.CD #quant-ph
paper · pdf · doi:10.1063/1.1841482
published as Journal of Mathematical Physics 46, 032108 (2005) · Improved discussion in Section I.2 and a few small typos fixed. 37 pages, 1 figure, published in Journal of Mathematical Physics
openalex publication_date 2005/02/14 · arxiv created 2005/02/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 analyze 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.