Problem of the coexistence of several non-Hermitian observables in PT -symmetric quantum mechanics

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Problem of the coexistence of several non-Hermitian observables in PT -symmetric quantum mechanics

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Problem of the coexistence of several non-Hermitian observables in PT -symmetric quantum mechanics

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Projekt

<a href="/cs/project/GA16-22945S" target="_blank" >GA16-22945S: Kvantová Wheelerova – DeWittova rovnice a její unitárně evoluční interpretace</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Physical Review A

ISSN

2469-9926

e-ISSN

—

Svazek periodika

95

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

8

Strana od-do

—

Kód UT WoS článku

000399783900002

EID výsledku v databázi Scopus

2-s2.0-85017583518