Can One Distinguish Quantum Trees From The Boundary?
(2012) In Proceedings of the American Mathematical Society 140(7). p.2347-2356- Abstract
- Schrodinger operators on metric trees are considered. It is proven that for certain matching conditions the Titchmarsh-Weyl matrix function does not determine the underlying metric tree; i.e. there exist quantum trees with equal Titchmarsh-Weyl functions. The constructed trees form one-parameter families of isospectral and isoscattering graphs.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3069033
- author
- Kurasov, Pavel LU
- organization
- publishing date
- 2012
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Proceedings of the American Mathematical Society
- volume
- 140
- issue
- 7
- pages
- 2347 - 2356
- publisher
- American Mathematical Society (AMS)
- external identifiers
-
- wos:000307482800015
- scopus:84858831249
- ISSN
- 1088-6826
- language
- English
- LU publication?
- yes
- id
- aa0e811e-881e-499d-a3b0-6684790800f4 (old id 3069033)
- date added to LUP
- 2016-04-01 11:11:10
- date last changed
- 2022-01-26 06:01:48
@article{aa0e811e-881e-499d-a3b0-6684790800f4, abstract = {{Schrodinger operators on metric trees are considered. It is proven that for certain matching conditions the Titchmarsh-Weyl matrix function does not determine the underlying metric tree; i.e. there exist quantum trees with equal Titchmarsh-Weyl functions. The constructed trees form one-parameter families of isospectral and isoscattering graphs.}}, author = {{Kurasov, Pavel}}, issn = {{1088-6826}}, language = {{eng}}, number = {{7}}, pages = {{2347--2356}}, publisher = {{American Mathematical Society (AMS)}}, series = {{Proceedings of the American Mathematical Society}}, title = {{Can One Distinguish Quantum Trees From The Boundary?}}, volume = {{140}}, year = {{2012}}, }