Schrödinger operators with δ-and δ′-interactions on Lipschitz surfaces and chromatic numbers of associated partitions

J Behrndt, P Exner, V Lotoreichik - Reviews in mathematical physics, 2014 - World Scientific
We investigate Schrödinger operators with δ-and δ′-interactions supported on
hypersurfaces, which separate the Euclidean space into finitely many bounded and …

Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials

J Eckhardt, F Gesztesy, R Nichols, G Teschl - arXiv preprint arXiv …, 2012 - arxiv.org
We systematically develop Weyl-Titchmarsh theory for singular differential operators on
arbitrary intervals $(a, b)\subseteq\mathbb {R} $ associated with rather general differential …

1-D Schrödinger operators with local point interactions: a review

A Kostenko, M Malamud - Spectral Analysis, Integrable Systems …, 2013 - books.google.com
We review recent developments in the theory of 1-D Schrödinger operators with local point
interactions on a discrete set. The progress in this area was stimulated by recent advances …

Spectral theory of infinite quantum graphs

P Exner, A Kostenko, M Malamud, H Neidhardt - Annales Henri Poincaré, 2018 - Springer
We investigate quantum graphs with infinitely many vertices and edges without the common
restriction on the geometry of the underlying metric graph that there is a positive lower …

On the spectral theory of Gesztesy–Šeba realizations of 1-D Dirac operators with point interactions on a discrete set

R Carlone, M Malamud, A Posilicano - Journal of Differential Equations, 2013 - Elsevier
We investigate spectral properties of Gesztesy–Šeba realizations DX, α and DX, β of the 1-D
Dirac differential expression D with point interactions on a discrete set [Formula: see text] …

[PDF][PDF] Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples

J Behrndt, M Langer - Operator Methods for Boundary Value …, 2012 - applied.math.tugraz.at
1 Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples Page 1 1 Elliptic
operators, Dirichlet-to-Neumann maps and quasi boundary triples Jussi Behrndt and Matthias …

Kreın-Višik-Birman self-adjoint extension theory revisited

M Gallone, A Michelangeli, A Ottolini - Mathematical Challenges of Zero …, 2021 - Springer
The core results of the Kreı̆n-Višik-Birman theory of self-adjoint extensions of semi-
bounded symmetric operators are reproduced, both in their original and in a more modern …

Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set

S Albeverio, A Kostenko, M Malamud - Journal of mathematical physics, 2010 - pubs.aip.org
We study the Hamiltonians HX, α, q with δ-type point interactions at the centers xk on the
positive half line in terms of energy forms. We establish analogs of some classical results on …

Sturm–Liouville boundary value problems with operator potentials and unitary equivalence

M Malamud, H Neidhardt - Journal of Differential Equations, 2012 - Elsevier
Consider the minimal Sturm–Liouville operator A= Amin generated by the differential
expression in the Hilbert space L2 (R+, H) where T= T⁎⩾ 0 in H. We investigate the …

Spectral estimates for infinite quantum graphs

A Kostenko, N Nicolussi - Calculus of Variations and Partial Differential …, 2019 - Springer
We investigate the bottom of the spectra of infinite quantum graphs, ie, Laplace operators on
metric graphs having infinitely many edges and vertices. We introduce a new definition of …