Abstract
An expansion method for stationary states is applied to obtain theeigenfunctions and the eigenenergies of the quarter stadium billiard,and its nearest energy-level spacing distribution is obtained. Thehistogram is consistent with the standard Wigner distribution, whichindicates that the stadium billiard system is chaotic. Particularattention is paid to pursuing the quantum manifestations of suchclassical chaos. The correspondences between the Fourier transformationof quantum spectra and classical orbits are investigated by using theclosed-orbit theory. The analytical and numerical results are inagreement with the required resolution, which corroborates that thesemiclassical method provides a physically meaningful image tounderstand such chaotic systems.
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