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14 papers · 2 filters
Hiatus perturbation for a singular Schrödinger operator with an interaction supported by a curve in \mathbb{R}^3
Pavel Exner, Sylwia Kondej
We consider Schrödinger operators in with a singular interaction supported by a finite curve . We present a proper definition of the operators and study thei…
On the optimization of the principal eigenvalue for single-centre point-interaction operators in a bounded region
Pavel Exner, Andrea Mantile
We investigate relations between spectral properties of a single-centre point-interaction Hamiltonian describing a particle confined to a bounded domain $Ω\subset\mathbb{R}^{d},\:…
Classification of the conditionally observable spectra exhibiting central symmetry
Jun-Hua Chen, Edita Pelantova, Miloslav Znojil
We show how in PT-symmetric 2J-level quantum systems the assumption of an upside-down symmetry (or duality) of their spectra simplifies their classification based on the non-equiva…
Straight Quantum Waveguide with Robin Boundary Conditions
Martin Jilek
We investigate spectral properties of a quantum particle confined to an infinite straight planar strip by imposing Robin boundary conditions with variable coupling. Assuming that t…
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…