Hermitian-Non-Hermitian Interfaces in Quantum Theory

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F18%3A00490005" target="_blank" >RIV/61389005:_____/18:00490005 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1155/2018/7906536" target="_blank" >http://dx.doi.org/10.1155/2018/7906536</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1155/2018/7906536" target="_blank" >10.1155/2018/7906536</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Hermitian-Non-Hermitian Interfaces in Quantum Theory

Popis výsledku v původním jazyce

In the global framework of quantum theory, the individual quantum systems seem clearly separated into two families with the respective manifestly Hermitian and hiddenly Hermitian operators of their Hamiltonian. In the light of certain preliminary studies, these two families seem to have an empty overlap. In this paper, we will show that whenever the interaction potentials are chosen to be weakly nonlocal, the separation of the two families may disappear. The overlaps alias interfaces between the Hermitian and non-Hermitian descriptions of a unitarily evolving quantum system in question may become nonempty. This assertion will be illustrated via a few analytically solvable elementary models.

Název v anglickém jazyce

Hermitian-Non-Hermitian Interfaces in Quantum Theory

Popis výsledku anglicky

In the global framework of quantum theory, the individual quantum systems seem clearly separated into two families with the respective manifestly Hermitian and hiddenly Hermitian operators of their Hamiltonian. In the light of certain preliminary studies, these two families seem to have an empty overlap. In this paper, we will show that whenever the interaction potentials are chosen to be weakly nonlocal, the separation of the two families may disappear. The overlaps alias interfaces between the Hermitian and non-Hermitian descriptions of a unitarily evolving quantum system in question may become nonempty. This assertion will be illustrated via a few analytically solvable elementary models.

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

2018

Kód důvěrnosti údajů

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

Název periodika

Advances in High Energy Physics

ISSN

1687-7357

e-ISSN

—

Svazek periodika

2018

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

13

Strana od-do

—

Kód UT WoS článku

000431590500001

EID výsledku v databázi Scopus

2-s2.0-85046634332