29 citations · 137 across the 10 of their papers we have counts for
5 papers · 1 filter
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…
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…
Schrödinger operators with -interactions supported on conical surfaces
Jussi Behrndt, Pavel Exner, Vladimir Lotoreichik
We investigate the spectral properties of self-adjoint Schrödinger operators with attractive -interactions of constant strength supported on conical surfaces in ${\mathbb…