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arXiv · 2310.13166

The semiclassical states excitations in the multi-rectangular billiards

Stefan Giller
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Abstract

The problem of the quantizations of the $L$-shaped billiards and the like ones, i.e. each angle of which is equal to $\pi/2$ or $3\pi/2$, is considered using as a tool the Fourier series expansion method. The respective wave functions and the quantization conditions are written and discussed looking for and discussing about the superscars effects in such multi-rectangular billiards (MRB). It is found that a special set of POC modes effect the superscars phenomena in MRB in which the billiards are excited as a whole to the modes closest to the semiclassical ones existing in their approximated copies being MRB in which their parallel sides remain in rational relations between themselves.

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Stefan Giller. 2023-10-19. The semiclassical states excitations in the multi-rectangular billiards. https://arxiv.org/abs/2310.13166

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