On the Similarity of Sturm-Liouville Operators with Non-Hermitian Boundary Conditions to Self-Adjoint and Normal Operators
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00229041" target="_blank" >RIV/68407700:21340/14:00229041 - isvavai.cz</a>
Alternative codes found
RIV/61389005:_____/14:00425780
Result on the web
<a href="http://link.springer.com/article/10.1007%2Fs11785-013-0301-y" target="_blank" >http://link.springer.com/article/10.1007%2Fs11785-013-0301-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11785-013-0301-y" target="_blank" >10.1007/s11785-013-0301-y</a>
Alternative languages
Result language
angličtina
Original language name
On the Similarity of Sturm-Liouville Operators with Non-Hermitian Boundary Conditions to Self-Adjoint and Normal Operators
Original language description
We consider one-dimensional Schrodinger-type operators in a bounded interval with non-self-adjoint Robin-type boundary conditions. It is well known that such operators are generically conjugate to normal operators via a similarity transformation. Motivated by recent interests in quasi-Hermitian Hamiltonians in quantum mechanics, we study properties of the transformations and similar operators in detail. In the case of parity and time reversal boundary conditions, we establish closed integral-type formulae for the similarity transformations, derive a non-local self-adjoint operator similar to the Schrodinger operator and also find the associated "charge conjugation" operator, which plays the role of fundamental symmetry in a Krein-space reformulation ofthe problem.
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
COMPLEX ANALYSIS AND OPERATOR THEORY
ISSN
1661-8254
e-ISSN
—
Volume of the periodical
8
Issue of the periodical within the volume
1
Country of publishing house
CH - SWITZERLAND
Number of pages
27
Pages from-to
255-281
UT code for WoS article
000329229000014
EID of the result in the Scopus database
—