Abstract
The importance of periodic orbits, both elliptic and hyperbolic, in analyzing driven quantum systems is now well established. We present a detailed analysis of the quantum mechanics in the vicinity of these orbits for both a piecewise-linear and the original standard maps. We begin by constructing effective Hamiltonian operators valid locally near nondegenerate periodic orbits. Our general formula allows for the calculation of the quasienergy spectrum near elliptic orbits as well as of the strength of scarring on hyperbolic orbits
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physical review. A, Atomic, molecular, and optical physics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
