195 citations · 571 across the 23 of their papers we have counts for
23 papers
On the Spectrum of a Quantum Dot with Impurity in the Lobachevsky Plane
P. Stovicek, M. Tusek
A model of a quantum dot with impurity in the Lobachevsky plane is considered. Relying on explicit formulae for the Green function and the Krein function which have been derive…
On the discrete spectrum of spin-orbit Hamiltonians with singular interactions
Jochen Bruening, Vladimir Geyler, Konstantin Pankrashkin
We give a variational proof of the existence of infinitely many bound states below the continuous spectrum for spin-orbit Hamiltonians (including the Rashba and Dresselhaus cases)…
A Quantum Dot with Impurity in the Lobachevsky Plane
V. Geyler, P. Stovicek, M. Tusek
The curvature effect on a quantum dot with impurity is investigated. The model is considered on the Lobachevsky plane. The confinement and impurity potentials are chosen so that th…
Explicit Green functions for spin-orbit Hamiltonians
Jochen Bruening, Vladimir Geyler, Konstantin Pankrashkin
We derive explicit expressions for Green functions and some related characteristics of the Rashba and Dresselhaus Hamiltonians with a uniform magnetic field.
Spectra of self-adjoint extensions and applications to solvable Schroedinger operators
Jochen Bruening, Vladimir Geyler, Konstantin Pankrashkin
We give a self-contained presentation of the theory of self-adjoint extensions using the technique of boundary triples. A description of the spectra of self-adjoint extensions in t…
Invariants of Lie Algebras with Fixed Structure of Nilradicals
Vyacheslav Boyko, Jiri Patera, Roman Popovych
An algebraic algorithm is developed for computation of invariants ('generalized Casimir operators') of general Lie algebras over the real or complex number field. Its main tools ar…