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Can One Distinguish Quantum Trees From The Boundary?

Kurasov, Pavel LU (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.
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author
organization
publishing date
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}},
}