Can one distinguish quantum trees from the boundary?

DOI10.1090/S0002-9939-2011-11077-3zbMath1278.34028OpenAlexW2024170244MaRDI QIDQ2845050

Pavel Kurasov

Publication date: 22 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-11077-3

zbMATH Keywords

Sturm-Liouville operatorsgeometrical graphs

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (5)

Aharonov-Bohm ring touching a quantum wire: how to model it and to solve the inverse problem ⋮ Inverse scattering for lasso graph ⋮ Inverse problems and invisibility cloaking for FEM models and resistor networks ⋮ Schrödinger operators on graphs and geometry. II: Spectral estimates for \(L_1\)-potentials and an Ambartsumian theorem ⋮ Location and multiplicities of eigenvalues for a star graph of Stieltjes strings

Cites Work

• Inverse problems for quantum trees. II: Recovering matching conditions for star graphs
• Linear representations and isospectrality with boundary conditions
• On recovering Sturm-Liouville operators on graphs
• Inverse problems for quantum trees
• Scattering problems on noncompact graphs
• Symmetries of quantum graphs and the inverse scattering problem
• Kirchhoff's Rule for Quantum Wires. II: The Inverse Problem with Possible Applications to Quantum Computers
• Can one hear the shape of a graph?
• Geometric properties of quantum graphs and vertex scattering matrices
• Scattering from isospectral quantum graphs
• Boundary spectral inverse problem on a class of graphs (trees) by the BC method
• Inverse problems for Aharonov–Bohm rings
• The isospectral fruits of representation theory: quantum graphs and drums
• Inverse eigenvalue problems on directed graphs
• On the inverse scattering problem on branching graphs
• Inverse problems for differential operators on trees with general matching conditions
• A Borg–Levinson theorem for trees
• Inverse spectral problems for Sturm–Liouville operators on graphs
• Inverse scattering on matrices with boundary conditions
• Inverse problems on graphs: recovering the tree of strings by the BC-method
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Can one distinguish quantum trees from the boundary?