Synthesis of a quantum tree Weyl matrix

DOI10.1007/s40590-023-00561-9zbMath1528.34026arXiv2308.01911MaRDI QIDQ6070435

Kira V. Khmelnytskaya, Sergeĭ Anatol'evich Avdonin, Vladislav V. Kravchenko

Publication date: 21 November 2023

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.01911

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Cites Work

• Unnamed Item
• Inverse problems for quantum trees
• Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions
• Leaf peeling method for the wave equation on metric tree graphs
• Semigroup methods for evolution equations on networks
• Method for solving inverse spectral problems on quantum star graphs
• Boundary spectral inverse problem on a class of graphs (trees) by the BC method
• Direct and Inverse Sturm-Liouville Problems
• 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 problems on graphs: recovering the tree of strings by the BC-method

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