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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
2012-09-26 15:12:25
date last changed
2017-01-01 04:14:04
@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},
}