TY - JOUR
T1 - The geometric phase for chaotic systems
JF - Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
SP - 631
LP - 661
M3 - 10.1098/rspa.1992.0039
VL - 436
IS - 1898
AU -
AU -
Y1 - 1992/03/09
UR - http://rspa.royalsocietypublishing.org/content/436/1898/631.abstract
N2 - The geometric phase acquired by the eigenstates of cycled quantum systems is given by the flux of a two-form through a surface in the systemâ€™s parameter space. We obtain the classical limit of this two-form in a form applicable to systems whose classical dynamics is chaotic. For integrable systems the expression is equivalent to the Hannay two-form. We discuss various properties of the classical two-form, derive semiclassical corrections to it (associated with classical periodic orbits), and consider implications for the semiclassical density of degeneracies.
ER -