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6 papers
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…
spl(p,q) superalgebra and differential operators
Yves Brihaye, Stefan Giller, Piotr Kosinski
Series of finite dimensional representations of the superalgebras spl(p,q) can be formulated in terms of linear differential operators acting on a suitable space of polynomials. We…
On the relations between osp(2,2) and the quasi exactly solvable systems
Yves Brihaye, Stefan Giller, Piotr Kosinski
By taking a product of two sl(2) representations, we obtain the differential operators preserving some space of polynomials in two variables. This allows us to construct the repres…
Galilean invariance in 2+1 dimensions
Y. Brihaye, C. Gonera, S. Giller +1
The Galilean invariance in three dimensional space-time is considered. It appears that the Galilei group in 2+1 dimensions posses a three-parameter family of projective representat…
Projectivised representations of
Y. Brihaye, S. Giller, P. Kosinski
We construct representations of the enveloping algebra in terms of finite difference operators and we discuss this result in the framework of quasi-exactly-solvable…