Abstract
AbstractA spatial correlation function has been previously proposed as a means of quantifying chaotic characteristics of quantum wavefunctions. In this paper we show that the classical analogue of the spatial correlation of a quantum wavefunction is identical (over short ranges) to its quantum counterpart, for the majority of high lying eigenstates of the classically chaotic stadium billiard problem. This behaviour is identified with quantum ergodicity. Furthermore the classical correlation function is used to derive an energy‐scaling law for the correlation lengths. The spatial correlation approach is then generalized by considering cross‐correlation functions and the time evolution of the correlation lengths for non‐stationary quantum states. This quantity is shown to be a near constant of the motion for wavepackets comprised of chaotic states and may relate to mixing properties of the dynamics.
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: Berichte der Bunsengesellschaft für physikalische Chemie
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.
