46 citations · 147 across the 28 of their papers we have counts for
10 papers · 1 filter
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…
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…
Adiabatic limit interference effects for two energy level transition amplitudes and Nikitin - Umanskii formula studied by fundamental solution method
Stefan Giller
A method of fundamental solutions has been used to study adiabatic transition amplitudes in two energy level systems for a class of Hamiltonians allowing some simplifications of St…
Simple applications of fundamental solution method in 1D quantum mechanics A talk given at the conference on: "Geometry Symmetry and Mechanics I" Lisbon, 11-16 July 2001
Stefan Giller
A method of fundamental solutions has been used to show its effectiveness in solving some well known problems of 1D quantum mechanics (barrier penetrations, over-barrier reflection…
Fundamental solution method applied to time evolution of two energy level systems: exact and adiabatic limit results
Stefan Giller, Cezary Gonera
A method of fundamental solutions has been used to investigate transitions in two energy level systems with no level crossing in a real time. Compact formulas for transition probab…