Inverse Problems for Quantum Graphs: Recent Developments and Perspectives
(2011) In Acta Physica Polonica. Series A: General Physics, Physics of Condensed Matter, Optics and Quantum Electronics, Atomic and Molecular Physics, Applied Physics 120(6A). p.132-141- Abstract
- An introduction into the area of inverse problems for the Schrodinger operators on metric graphs is given. The case of metric finite trees is treated in detail with the focus on matching conditions. For graphs with loops we show that for almost all matching conditions the potential on the loop is not determined uniquely by the Titchmarsh-Weyl function. The class of all admissible potentials is characterized.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2493662
- author
- Kurasov, Pavel LU
- organization
- publishing date
- 2011
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Acta Physica Polonica. Series A: General Physics, Physics of Condensed Matter, Optics and Quantum Electronics, Atomic and Molecular Physics, Applied Physics
- volume
- 120
- issue
- 6A
- pages
- 132 - 141
- publisher
- Institute of Physics, Polish Academy of Sciences
- external identifiers
-
- wos:000301171100032
- ISSN
- 0587-4246
- language
- English
- LU publication?
- yes
- id
- e4a77331-2e6a-4c62-bbba-8af268849cb1 (old id 2493662)
- alternative location
- http://przyrbwn.icm.edu.pl/APP/PDF/120/a120z6ap58.pdf
- date added to LUP
- 2016-04-01 13:34:55
- date last changed
- 2018-11-21 20:17:34
@article{e4a77331-2e6a-4c62-bbba-8af268849cb1, abstract = {{An introduction into the area of inverse problems for the Schrodinger operators on metric graphs is given. The case of metric finite trees is treated in detail with the focus on matching conditions. For graphs with loops we show that for almost all matching conditions the potential on the loop is not determined uniquely by the Titchmarsh-Weyl function. The class of all admissible potentials is characterized.}}, author = {{Kurasov, Pavel}}, issn = {{0587-4246}}, language = {{eng}}, number = {{6A}}, pages = {{132--141}}, publisher = {{Institute of Physics, Polish Academy of Sciences}}, series = {{Acta Physica Polonica. Series A: General Physics, Physics of Condensed Matter, Optics and Quantum Electronics, Atomic and Molecular Physics, Applied Physics}}, title = {{Inverse Problems for Quantum Graphs: Recent Developments and Perspectives}}, url = {{http://przyrbwn.icm.edu.pl/APP/PDF/120/a120z6ap58.pdf}}, volume = {{120}}, year = {{2011}}, }