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Horizons of stability

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F08%3A00314821" target="_blank" >RIV/61389005:_____/08:00314821 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Horizons of stability

  • Original language description

    Although the quantum bound-state energies may be generated by the so-called PT-symmetric Hamiltonians H = (PHP)-P-dagger not equal H-dagger where P is, typically, parity, the spectrum only remains real and observable (i.e., in the language of physics, the PT-symmetry remains unbroken) inside a domain D of couplings. We show that the boundary. D (i.e., certain stability and observability horizon formed by Kato's exceptional points) remains algebraic (i.e., we determine it by closed formulae) for a certain toy-model family of N-dimensional anharmonic-oscillator-related matrix Hamiltonians H(N) with N = 2, 3, . . . , 11.

  • Czech name

    Horizonty stability

  • Czech description

    Ačkoliv energie kvantových vázaných stavů mohou být generovány tzv. PT-symetrickými nehermiteovskými hamiltoniány, zůstávají reálné a pozorovatelné uvnitř oblasti D vazbových konstant. Ukazujeme, že hranice D (tj. určitý horizont stability a pozorovatelnosti tvořený Katoovými vyjímečnými body) zůstává pro určité modely algebraická.

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

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2008

  • 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 Physics A-Mathematical and Theoretical

  • ISSN

    1751-8113

  • e-ISSN

  • Volume of the periodical

    41

  • Issue of the periodical within the volume

    24

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    16

  • Pages from-to

  • UT code for WoS article

    000256388200028

  • EID of the result in the Scopus database