83 citations · 184 across the 3 of their papers we have counts for
4 papers
Spectral transitions for Aharonov-Bohm Laplacians on conical layers
David Krejcirik, Vladimir Lotoreichik, Thomas Ourmières-Bonafos
We consider the Laplace operator in a tubular neighbourhood of a conical surface of revolution, subject to an Aharonov-Bohm magnetic field supported on the axis of symmetry and Dir…
Bound States in Curved Quantum Layers
Pierre Duclos, Pavel Exner, David Krejcirik
We consider a nonrelativistic quantum particle constrained to a curved layer of constant width built over a non-compact surface embedded in . We suppose that the latter is end…
Bound states in weakly deformed strips and layers
D. Borisov, P. Exner, R. Gadylshin +1
We consider Dirichlet Laplacians on straight strips in R^2 or layers in R^3 with a weak local deformation. First we generalize a result of Bulla et al. to the three-dimensional sit…
Quantum waveguides with a lateral semitransparent barrier: spectral and scattering properties
P. Exner, D. Krejcirik
We consider a quantum particle in a waveguide which consists of an infinite straight Dirichlet strip divided by a thin semitransparent barrier on a line parallel to the walls which…