Two superconducting microwave billiards have been electromagnetically
coupled in a variable way. The spectrum of the entire system has been
measured and the spectral statistics analyzed as a function of the cou
pling strength. It is shown that the results can be understood in term
s of a random matrix model of quantum mechanical symmetry breaking-as,
e.g., the violation of parity or isospin in nuclear physics. [S0031-9
007(98)07757-6].