138 citations · 554 across the 26 of their papers we have counts for
28 papers
Finite-term recurrences in a generalized Bochner--Krall family
L. M. Anguas, D. Barrios Rolanía, B. Shapiro +1
We classify the differential operators \(T=z^j\partial_z^j+z^m\partial_z^\ell\), where \(0\le m<\ell\) and \(1\le j<\ell\), whose monic eigenpolynomials satisfy a finite-term recur…
Quantum graphs: self-adjoint, and yet exhibiting a nontrivial -symmetry
Pavel Exner, Milos Tater
We demonstrate that a quantum graph exhibits a -symmetry provided the coefficients in the condition describing the wave function matching at the vertices are circulan…
Spectrum of periodic chain graphs with time-reversal non-invariant vertex coupling
Marzieh Baradaran, Pavel Exner, Milos Tater
We investigate spectral properties of quantum graphs in the form of a periodic chain of rings with a connecting link between each adjacent pair, assuming that wave functions at the…
Spectral properties of spiral-shaped quantum waveguides
Pavel Exner, Milos Tater
We investigate properties of a particle confined to a hard-wall spiral-shaped region. As a case study we analyze in detail the Archimedean spiral for which the spectrum above the c…
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…
In search of higher Bochner theorem
Emil Horozov, Boris Shapiro, Milos Tater
We initiate the study of a natural generalisation of the classical Bochner-Krall problem asking which linear ordinary differential operators possess sequences of eigenpolynomials s…