Problem of the coexistence of several non-Hermitian observables in PT -symmetric quantum mechanics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F17%3A00475655" target="_blank" >RIV/61389005:_____/17:00475655 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevA.95.042122" target="_blank" >http://dx.doi.org/10.1103/PhysRevA.95.042122</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.95.042122" target="_blank" >10.1103/PhysRevA.95.042122</a>
Alternative languages
Result language
angličtina
Original language name
Problem of the coexistence of several non-Hermitian observables in PT -symmetric quantum mechanics
Original language description
During recent developments in quantum theory it has been clarified that observable quantities (such as energy and position) may be represented by operators Lambda (with real spectra) that are manifestly non-Hermitian in a preselected friendly Hilbert space H-(F). The consistency of these models is known to require an upgrade of the inner product, i.e., mathematically speaking, a transition H-(F)-> H-(S) to another, standard, Hilbert space. We prove that whenever we are given more than one candidate for an observable ( i.e., say, two operators Lambda(0) and Lambda(1)) in advance, such an upgrade need not exist in general.
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
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OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Result continuities
Project
<a href="/en/project/GA16-22945S" target="_blank" >GA16-22945S: Quantum Wheeler-DeWitt equation and its unitary evolution interpretation</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review A
ISSN
2469-9926
e-ISSN
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Volume of the periodical
95
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
8
Pages from-to
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UT code for WoS article
000399783900002
EID of the result in the Scopus database
2-s2.0-85017583518