 
Summary: VOLUME 81, NUMBER 14 P H Y S I C A L R E V I E W L E T T E R S 5 OCTOBER 1998
Probability Amplitude Fluctuations in Experimental Wave Chaotic Eigenmodes with and
Without TimeReversal Symmetry
Dong Ho Wu, Jesse S. A. Bridgewater, Ali Gokirmak, and Steven M. Anlage
Center for Superconductivity Research, Department of Physics, University of Maryland, College Park, Maryland 207424111
(Received 23 June 1998)
We have measured the probability density jc r j2
in the semiclassical limit of a classically chaotic
square well potential with and without time reversal symmetry, and compared our findings with theo
retical predictions. We find that wave functions with timereversal symmetry have larger fluctuations
than those without timereversal symmetry. To quantify the degree of these fluctuations, eigenmodes
both with and without timereversal symmetry are statistically analyzed and the twopoint spatial cor
relation function and the probability density distribution function of the eigenmodes are found to agree
with theoretical predictions. [S00319007(98)072597]
PACS numbers: 05.45.+b, 03.65.Ge, 73.23.b, 85.70.Ge
The quantum mechanical behavior of nonintegrable sys
tems has been a very intriguing subject for many decades
and is still one of active research [1]. This is not only be
cause of the interesting fundamental physics of "quantum
chaos" but also because of the strong analogy between the
