29 citations · 137 across the 10 of their papers we have counts for
11 papers
An optimization problem for leaky stars
Pavel Exner
We consider singular Schrödinger operators with an attractive interaction of strength supported by a star graph and prove that the ground-state eigenvalue is uniquely maxi…
A geometric approximation of non-local interface and boundary conditions
Pavel Exner, Andrii Khrabustovskyi
We analyze an approximation of a Laplacian subject to non-local interface conditions of a -type by Neumann Laplacians on a family of Riemannian manifolds with a sieve-like stru…
Quantum lattice transport along an infinitely extended perturbation
Marzieh Baradaran, Pavel Exner, Andrii Khrabustovskyi
We consider a periodic quantum graph in the form of a rectangular lattice with the -coupling of strength in the vertices perturbed by changing the latter at an infinite stra…
Cairo lattice with time-reversal non-invariant vertex couplings
Marzieh Baradaran, Pavel Exner
We analyze the spectrum of a periodic quantum graph of the Cairo lattice form. The used vertex coupling violates the time reversal invariance and its high-energy behavior depends o…
Ring chains with vertex coupling of a preferred orientation
Marzieh Baradaran, Pavel Exner, Miloš Tater
We consider a family of Schrödinger operators supported by a periodic chain of loops connected either tightly or loosely through connecting links of the length with the ve…
Strong coupling asymptotics for Schrödinger operators with an interaction supported by an open arc in three dimensions
Pavel Exner, Sylwia Kondej
We consider Schrödinger operators with a strongly attractive singular interaction supported by a finite curve of lenghth in . We show that if is -smooth and…