Ray-Splitting Correction to the Weyl Formula: Experiment versus Theory

Statistics – Applications

Scientific paper

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Quantum Chaos, Semiclassical Methods, Semiclassical Theories And Applications, Edge And Boundary Effects, Reflection And Refraction

Scientific paper

An abrupt change in the dielectric constant of media filling a microwave cavity was predicted by Prange et al. [

Phys. Rev. E 53, 207 (1996)
] to produce a ray splitting correction to the Weyl formula for the mean staircase function of resonances. We present the first experimental confirmation of this effect. Our results with a quasi-two-dimensional cavity are directly relevant to the ray-splitting correction in two-dimensional quantal ray-splitting billiards.

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