104 citations · 320 across the 42 of their papers we have counts for
5 papers · 1 filter
On the dynamics created by a time--dependent Aharonov-Bohm flux
J. Asch, P. Stovicek
We study the dynamics of classical and quantum particles moving in a punctured plane under the influence of a homogeneous magnetic field and driven by a time-dependent singular flu…
On the energy growth of some periodically driven quantum systems with shrinking gaps in the spectrum
Pierre Duclos, Ondra Lev, Pavel Stovicek
We consider quantum Hamiltonians of the form H(t)=H+V(t) where the spectrum of H is semibounded and discrete, and the eigenvalues behave as E_n~n^α, with 0<α<1. In particular, the…
On the stability of periodically time-dependent quantum systems
Pierre Duclos, Eric Soccorsi, Pavel Stovicek +1
The main motivation of this article is to derive sufficient conditions for dynamical stability of periodically driven quantum systems described by a Hamiltonian H(t), i.e., conditi…
On the harmonic oscillator on the Lobachevsky plane
P. Stovicek, M. Tusek
We introduce the harmonic oscillator on the Lobachevsky plane with the aid of the potential where is the curvature radius and is the geodesic d…
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…