Browse/search for people

Publication - Dr Sebastian Muller

    Semiclassical calculation of spectral correlation functions of chaotic systems


    Muller, S & Novaes, M, 2018, ‘Semiclassical calculation of spectral correlation functions of chaotic systems’. Physical Review E, vol 98.


    We present a semiclassical approach to n-point spectral correlation functions of quantum systems whose classical dynamics is chaotic, for arbitrary n. The basic ingredients are sets of periodic orbits that have nearly the same action and therefore provide constructive interference. We calculate explicitly the first correlation functions, to leading orders in their energy arguments, for both unitary and orthogonal symmetry classes. The results agree with corresponding predictions from random matrix theory, thereby giving solid support to the conjecture of universality.

    Full details in the University publications repository