Construction of maximally non-Hermitian potentials under unbroken PT-symmetry constraint
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F25%3A00640717" target="_blank" >RIV/61389005:_____/25:00640717 - isvavai.cz</a>
Alternative codes found
RIV/62690094:18470/25:50022783
Result on the web
<a href="https://pubs.aip.org/aip/jmp/article/66/8/082102/3358435/Construction-of-maximally-non-Hermitian-potentials" target="_blank" >https://pubs.aip.org/aip/jmp/article/66/8/082102/3358435/Construction-of-maximally-non-Hermitian-potentials</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/5.0252251" target="_blank" >10.1063/5.0252251</a>
Alternative languages
Result language
angličtina
Original language name
Construction of maximally non-Hermitian potentials under unbroken PT-symmetry constraint
Original language description
A family of discrete Schrödinger equations with imaginary and maximally non-Hermitian multiparametric potentials V(x, A, B, ...) is studied. In the domain of unitarity-compatible parameters D (known as the domain of spontaneously unbroken PT-symmetry) the reality of all of the bound-state energies E-n(A, B, ...) survives up to the maximally non-Hermitian 'exceptional-point' extreme with parameters A((EP)), B-(EP), ... The computer-assisted proof of existence and the symbolic-manipulation localization of such a spectral-degeneracy limit are sampled showing that their complexity grows quickly with the number of parameters.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Physics
ISSN
0022-2488
e-ISSN
1089-7658
Volume of the periodical
66
Issue of the periodical within the volume
8
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
082102
UT code for WoS article
001599879700001
EID of the result in the Scopus database
2-s2.0-105013168828