Abstract
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 language | English |
---|---|
Article number | 052207 |
Number of pages | 12 |
Journal | Physical Review E |
Volume | 98 |
Early online date | 8 Nov 2018 |
DOIs | |
Publication status | Published - Nov 2018 |
Fingerprint
Dive into the research topics of 'Semiclassical calculation of spectral correlation functions of chaotic systems'. Together they form a unique fingerprint.Profiles
-
Dr Sebastian Muller
- School of Mathematics - Senior Lecturer
- Applied Mathematics
- Mathematical Physics
Person: Academic , Member