## Global and local dynamical invariants and quasienergy states of time-periodic Hamiltonians

• A formalism is developed for calculating the quasienergy states and spectrum for time-periodic quantum systems when a time-periodic dynamical invariant operator with a nondegenerate spectrum is known. The method, which circumvents the integration of the Schr-odinger equation, is applied to an integrable class of systems, where the global invariant operator is constructed. Furthermore, a local integrable approximation for more general non-integrable systems is developed. Numerical results are presented for the doubleresonance model.

Author: Bruno Mirbach, Hans Jürgen Korsch, D.B. Monteoliva urn:nbn:de:hbz:386-kluedo-8349 Article English 1998 1998 Technische Universität Kaiserslautern 2000/04/03 Fachbereich Physik 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

$Rev: 13581$