Projects per year
Abstract
On the basis of the explicit formulae for the action of the unitary group of exponentials corresponding to almost solvable extensions of a given closed symmetric operator with equal deficiency indices, we derive a new representation for the scattering matrix for pairs of such extensions. We use this representation to explicitly recover the coupling constants in the inverse scattering problem for a finite non-compact quantum graph with δ-type vertex conditions.
Original language | English |
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Pages (from-to) | 191-215 |
Number of pages | 25 |
Journal | Networks and Heterogeneous Media |
Volume | 13 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jun 2018 |
Keywords
- Boundary triples
- Extensions of symmetric operators
- Functional model
- Inverse scattering problems
ASJC Scopus subject areas
- Statistics and Probability
- General Engineering
- Computer Science Applications
- Applied Mathematics
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Dive into the research topics of 'Functional model for extensions of symmetric operators and applications to scattering theory'. Together they form a unique fingerprint.Projects
- 2 Finished
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Newton Mobility Grant -: Homogenisation of Degenerate Equations and Scattering for New Materials
Cherednichenko, K. (PI)
1/02/17 → 31/01/19
Project: Research council
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Mathematical Foundations of Metamaterials: Homogenisation, Dissipation and Operator Theory
Cherednichenko, K. (PI)
Engineering and Physical Sciences Research Council
23/07/14 → 22/06/19
Project: Research council