The semiclassical states excitations in the multi-rectangular billiards
- URL: http://arxiv.org/abs/2310.13166v2
- Date: Sat, 4 Nov 2023 23:52:49 GMT
- Title: The semiclassical states excitations in the multi-rectangular billiards
- Authors: Stefan Giller
- Abstract summary: The problem of the quantizations of the $L$-shaped billiards and the like ones 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)
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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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