On the inverse scattering problem on branching graphs
(2002) In Journal of Physics A: Mathematical and General 35(1). p.101-121- Abstract
- The inverse scattering problem on branching graphs is studied. The definition of the Schrodinger operator on such graphs is discussed. The operator is defined with real potentials with finite first momentum and using special boundary conditions connecting values of the functions at the vertices. It is shown that in general the scattering matrix does not determine the topology of the graph, the potentials on the edges and the boundary conditions uniquely.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/343796
- author
- Kurasov, Pavel LU and Stenberg, Fredrik
- organization
- publishing date
- 2002
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Physics A: Mathematical and General
- volume
- 35
- issue
- 1
- pages
- 101 - 121
- publisher
- IOP Publishing
- external identifiers
-
- wos:000173665900011
- scopus:0037059731
- ISSN
- 0305-4470
- DOI
- 10.1088/0305-4470/35/1/309
- language
- English
- LU publication?
- yes
- id
- e7c561ce-020c-44d0-b08e-80178cb97065 (old id 343796)
- date added to LUP
- 2016-04-01 15:54:42
- date last changed
- 2022-03-30 03:57:22
@article{e7c561ce-020c-44d0-b08e-80178cb97065, abstract = {{The inverse scattering problem on branching graphs is studied. The definition of the Schrodinger operator on such graphs is discussed. The operator is defined with real potentials with finite first momentum and using special boundary conditions connecting values of the functions at the vertices. It is shown that in general the scattering matrix does not determine the topology of the graph, the potentials on the edges and the boundary conditions uniquely.}}, author = {{Kurasov, Pavel and Stenberg, Fredrik}}, issn = {{0305-4470}}, language = {{eng}}, number = {{1}}, pages = {{101--121}}, publisher = {{IOP Publishing}}, series = {{Journal of Physics A: Mathematical and General}}, title = {{On the inverse scattering problem on branching graphs}}, url = {{http://dx.doi.org/10.1088/0305-4470/35/1/309}}, doi = {{10.1088/0305-4470/35/1/309}}, volume = {{35}}, year = {{2002}}, }