Inverse spectral problem for quantum graphs with rationally dependent edges
(2007) International Conference on Operator Theory and Its Applications in Mathematical Physics 174. p.105116 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 Verlag
 conference name
 International Conference on Operator Theory and Its Applications in Mathematical Physics
 conference location
 Bedlewo, Poland
 conference dates
 00010102
 external identifiers

 wos:000246202600008
 ISBN
 9783764381349
 DOI
 10.1007/9783764381356_8
 language
 English
 LU publication?
 yes
 id
 68ed4d3d7e6746dc95a6b960f7de0631 (old id 1409732)
 alternative location
 http://www.springerlink.com/content/n4322511471302k4/fulltext.pdf
 date added to LUP
 20160404 11:03:54
 date last changed
 20200527 11:48:20
@inproceedings{68ed4d3d7e6746dc95a6b960f7de0631, 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 = {9783764381349}, language = {eng}, pages = {105116}, publisher = {Birkhäuser Verlag}, title = {Inverse spectral problem for quantum graphs with rationally dependent edges}, url = {http://dx.doi.org/10.1007/9783764381356_8}, doi = {10.1007/9783764381356_8}, volume = {174}, year = {2007}, }