Cryptohermitian Hamiltonians on Graphs. II. Hermitizations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F11%3A00365563" target="_blank" >RIV/61389005:_____/11:00365563 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s10773-011-0671-8" target="_blank" >http://dx.doi.org/10.1007/s10773-011-0671-8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10773-011-0671-8" target="_blank" >10.1007/s10773-011-0671-8</a>

Result language

angličtina

Original language name

Cryptohermitian Hamiltonians on Graphs. II. Hermitizations

Original language description

In the second step of our systematic study of non-Hermitian quantum graphs simplified via their discretization and possessing real (i.e., in principle, observable) spectra we show how the related Hamiltonian H may be assigned either a pseudometric P and/or metric Theta. Our two alternative constructions convert the Hamiltonian in question into the operator which becomes Hermitian either in a formal, ad hoc Krein/Pontryagin space and/or in one of available standard quantum-mechanical Hilbert spaces, respectively.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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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)

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

International Journal of Theoretical Physics

ISSN

0020-7748

e-ISSN

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Volume of the periodical

50

Issue of the periodical within the volume

5

Country of publishing house

US - UNITED STATES

Number of pages

14

Pages from-to

1614-1627

UT code for WoS article

000288804600027

EID of the result in the Scopus database

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