Semiclassical calculation of spectral correlation functions of chaotic systems

Sebastian Muller, Marcel Novaes

Research output: Contribution to journalArticle (Academic Journal)peer-review

6 Citations (Scopus)
274 Downloads (Pure)


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.
Original languageEnglish
Article number052207
Number of pages12
JournalPhysical Review E
Early online date8 Nov 2018
Publication statusPublished - Nov 2018


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