46 citations · 147 across the 28 of their papers we have counts for
28 papers
Wave Functions and Energy Spectra in Rational Billiards Are Determined Completely by Their Periods
Stefan Giller
The rational billiards (RB) are classically pseudointegrable, i.e. their trajectories in the phase space lie on multi-tori. Each such a multi-torus can be unfolded into elementary…
High energy semiclassical wave functions in rational multi-connected and other (Sinai-like) billiards determined by their periodic orbits
Stefan Giller
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 poly…
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…
Superscar states in rational polygon billiards - a reality or an illusion?
Stefan Giller
The superscars phenomena (Heller, E.J., Phys. Rev. Lett. 53, (1984) 1515) in the rational polygon billiards (RPB) are analysed using the high energy semiclassical wave functions (S…
Semiclassical wave functions and energy spectra in polygon billiards
Stefan Giller
A consistent scheme of semiclassical quantization in polygon billiards by wave function formalism is presented. It is argued that it is in the spirit of the semiclassical wave func…
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…