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High energy semiclassical wave functions in rational multi-connected and other (Sinai-like) billiards determined by their periodic orbits | | Stefan Giller
; | | Date: |
9 Dec 2019 | | Abstract: | The methods of the high energy semiclassical quantization in the rational
polygon billiards used in our earlier papers are generalized to an arbitrary
rational multi-connected polygon billiards i.e. to the billiards which is a
rational polygon with other rational polygons inside them "rotated" with
respect to the "mother" ones by rational angles. The respective procedure is
described fully and its most important aspects are discussed. This
generalization allows us to apply the method to arbitrary billiards with curved
boundaries and with multi-connected areas where the respective semiclassical
quantization is determined by the shortest periodic orbits of the billiards. As
an example of the latter case the Sinai-like billiards is considered which is
the right angle triangle with one of its acute angles equal to $pi/6$ and with
the circular hole in it. | | Source: | arXiv, 1912.4155 | | Services: | Forum | Review | PDF | Favorites | |
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