Twist maps, kicked rotors, and quantum chaos (Q2702402)

This paper is devoted to the study one-dimensional quantum systems under time-periodic external perturbations, which act in form \(\delta(t-nT)\)-pulses, where \(\delta\) is the Dirac delta distribution, \(n\in\mathbb{Z}\) and the period \(T>0\). These systems are described in a formal manner by periodic families \(\{\eta(t),\;t\in \mathbb{R}\}\) of Hamiltonians, where NEWLINE\[NEWLINE\eta(t)= H_0+W\cdot \sum_{j\in \mathbb{Z}}\delta (t-jT)NEWLINE\]NEWLINE with a (discrete) selfadjoint and time constant part \(H_0\) and a suitable real-valued multiplication \(W\) acting on \(L^2 (\Omega)\).NEWLINENEWLINEFor the entire collection see [Zbl 0953.00049].