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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

  • Czech description

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