Inverse spectral problem for quantum graphs with rationally dependent edges
(2007) International Conference on Operator Theory and Its Applications in Mathematical Physics 174. p.105-116- Abstract
- In this paper we study the problem of unique reconstruction of the quantum graphs. The idea is based on the trace formula which establishes the relation between the spectrum of Laplace operator and the set of periodic orbits, the number of edges and the total length of the graph. We analyse conditions under which is it possible to reconstruct simple graphs containing edges with rationally dependent lengths.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1409732
- author
- Nowaczyk, Marlena LU
- organization
- publishing date
- 2007
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Operator Theory, Analysis and Mathematical Physics
- volume
- 174
- pages
- 105 - 116
- publisher
- Birkhäuser
- conference name
- International Conference on Operator Theory and Its Applications in Mathematical Physics
- conference location
- Bedlewo, Poland
- conference dates
- 0001-01-02
- external identifiers
-
- wos:000246202600008
- ISBN
- 978-3-7643-8134-9
- DOI
- 10.1007/978-3-7643-8135-6_8
- language
- English
- LU publication?
- yes
- id
- 68ed4d3d-7e67-46dc-95a6-b960f7de0631 (old id 1409732)
- alternative location
- http://www.springerlink.com/content/n4322511471302k4/fulltext.pdf
- date added to LUP
- 2016-04-04 11:03:54
- date last changed
- 2020-05-27 11:48:20
@inproceedings{68ed4d3d-7e67-46dc-95a6-b960f7de0631, abstract = {{In this paper we study the problem of unique reconstruction of the quantum graphs. The idea is based on the trace formula which establishes the relation between the spectrum of Laplace operator and the set of periodic orbits, the number of edges and the total length of the graph. We analyse conditions under which is it possible to reconstruct simple graphs containing edges with rationally dependent lengths.}}, author = {{Nowaczyk, Marlena}}, booktitle = {{Operator Theory, Analysis and Mathematical Physics}}, isbn = {{978-3-7643-8134-9}}, language = {{eng}}, pages = {{105--116}}, publisher = {{Birkhäuser}}, title = {{Inverse spectral problem for quantum graphs with rationally dependent edges}}, url = {{http://dx.doi.org/10.1007/978-3-7643-8135-6_8}}, doi = {{10.1007/978-3-7643-8135-6_8}}, volume = {{174}}, year = {{2007}}, }