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تسجيل مستخدم جديدNumerical study of scars in a chaotic billiard
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We study numerically the scaling properties of scars in stadium billiard. Using the semiclassical criterion, we have searched systematically the scars of the same type through a very wide range, from ground state to as high as the 1 millionth state. We have analyzed the integrated probability density along the periodic orbit. The numerical results confirm that the average intensity of certain types of scars is independent of $hbar$ rather than scales with $sqrt{hbar}$. Our findings confirm the theoretical predictions of Robnik (1989).
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