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
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DOI - Digital Object Identifier
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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
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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
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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
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UT code for WoS article
000256388200028
EID of the result in the Scopus database
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