Infinite quantum graphs
From MaRDI portal
Publication:2358591
DOI10.1134/S1064562417010136zbMath1365.05177MaRDI QIDQ2358591
Pavel Exner, Aleksey S. Kostenko, Mark M. Malamud, Hagen Neidhardt
Publication date: 15 June 2017
Published in: Doklady Mathematics (Search for Journal in Brave)
Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) General mathematical topics and methods in quantum theory (81Q99) Infinite graphs (05C63)
Related Items (3)
Spectral estimates for infinite quantum graphs ⋮ Schrödinger and polyharmonic operators on infinite graphs: parabolic well-posedness and \(p\)-independence of spectra ⋮ On torsional rigidity and ground-state energy of compact quantum graphs
Cites Work
- Unnamed Item
- Unnamed Item
- On spectral estimates for Schrödinger-type operators: the case of small local dimension
- Sturm-Liouville boundary value problems with operator potentials and unitary equivalence
- Dirichlet forms and symmetric Markov processes.
- 1-D Schrödinger operators with local point interactions on a discrete set
- Generalized resolvents and the boundary value problems for Hermitian operators with gaps
- The Rozenblum-Lieb-Cwikel inequality for Markov generators
- An example of unitary equivalence between self-adjoint extensions and their parameters
- Dirichlet forms and stochastic completeness of graphs and subgraphs
- Equivalence of Sobolev inequalities and Lieb-Thirring inequalities
- SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS
- A duality between Schroedinger operators on graphs and certain Jacobi matrices
- Unbounded quantum graphs with unbounded boundary conditions
This page was built for publication: Infinite quantum graphs