104 citations · 320 across the 42 of their papers we have counts for
4 papers · 2 filters
Noncommutative Bloch analysis of Bochner Laplacians with nonvanishing gauge fields
Petra Kostakova, Pavel Stovicek
Given an invariant gauge potential and a periodic scalar potential \tilde{V} on a Riemannian manifold \tilde{M} with a discrete symmetry group Γ, consider a Γ-periodic quantum Hami…
On the eigenvalue problem for a particular class of finite Jacobi matrices
F. Stampach, P. Stovicek
A function with simple and nice algebraic properties is defined on a subset of the space of complex sequences. Some special functions are expressible in terms of $\m…
Resonant cyclotron acceleration of particles by a time periodic singular flux tube
Joachim Asch, Tomas Kalvoda, Pavel Stovicek
We study the dynamics of a classical nonrelativistic charged particle moving on a punctured plane under the influence of a homogeneous magnetic field and driven by a periodically t…
On the two-dimensional Coulomb-like potential with a central point interaction
P. Duclos, P. Stovicek, M. Tusek
In the first part of the paper, we introduce the Hamiltonian , Z>0, as a selfadjoint operator in . A general central point interaction combined with…