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6 papers · 2 filters
Quantization of kinematics on configuration manifolds
H. -D. Doebner, P. Stovicek, J. Tolar
The review is devoted to topological global aspects of quantal description. The treatment concentrates on quantizations of kinematical observables --- generalized positions and mom…
Weakly regular Floquet Hamiltonians with pure point spectrum
P. Duclos, O. Lev, P. Stovicek +1
We study the Floquet Hamiltonian: -i omega d/dt + H + V(t) as depending on the parameter omega. We assume that the spectrum of H is discrete, {h_m (m = 1..infinity)}, with h_m of m…
Magnetic transport in a straight parabolic channel
P. Exner, A. Joye, H. Kovarik
We study a charged two-dimensional particle confined to a straight parabolic-potential channel and exposed to a homogeneous magnetic field under influence of a potential perturbati…
Bound States in Mildly Curved Layers
Pavel Exner, David Krejcirik
It has been shown recently that a nonrelativistic quantum particle constrained to a hard-wall layer of constant width built over a geodesically complete simply connected noncompact…
Quantum mechanics of layers with a finite number of point perturbations
Pavel Exner, Katerina Nemcova
We study spectral and scattering properties of a spinless quantum particle confined to an infinite planar layer with hard walls containing a finite number of point perturbations. A…
Asymptotics of eigenvalues of the Schroedinger operator with a strong delta-interaction on a loop
Pavel Exner, Kazushi Yoshitomi
In this paper we investigate the operator in , where and is a closed Jordan curve in . We obtain the asymp…