9 citations · 13 across the 7 of their papers we have counts for
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High energy semiclassical wave functions in the Bunimovich stadium billiards determined by its periodic orbits
Stefan Giller
It is argued that the high energy semiclassical wave functions (SWF) in an arbitrary billiards can be built by approximating the billiards by a respective polygon one. The latter b…
Skeletons and superscars
Stefan Giller, Jarosław Janiak
Semiclassical wave functions in billiards based on the Maslov-Fedoriuk approach are constructed. They are defined on classical constructions called skeletons which are the billiard…
The semiclassical small- limit of loci of roots of fundamental solutions for polynomial potentials
Stefan Giller
In this paper a description of the small- limit of loci of zeros of fundamental solutions for polynomial potentials is given. The considered cases of the potentials are boun…
The high energy semiclassical asymptotics of loci of roots of fundamental solutions for polynomial potentials
Stefan Giller
In the case of polynomial potentials all solutions to 1-D Schroedinger equation are entire functions totally determined by loci of their roots and their behaviour at infinity. In t…