# Bohigas-Giannoni-Schmit conjecture It is conjectured by [[1983#Bohigas, Giannoni, Schmit]] that the level statistics of a quantum system that has a classically *chaotic* counterpart are described by [[0579 Random matrix theory|Random Matrix Theory]]. The analogous statement for quantum systems with *integrable* classical counterparts is given by the [[0585 Berry-Tabor conjecture|Berry-Tabor conjecture]]. This conjecture has not been proven.