engleski

Chaotic properties of the elliptical stadium billiard

The two-parameter family of elliptical stadium billiard is discussed. Special attention is paid to the one-parameter subfamily inscribed into the square which interpolates between the circle and the square. It is shown that the classical dynamics of such system is mixed for all values of the shape parameter. For the same system the quantal spectra and wave functions are calculated, and the classical and quantal chaotic fraction values are compared. Other types of elliptical stadium billiards are briefly discussed.

chaos; stadium billiard; quantal spectra

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