Non-Stationary Non-Hermitian 'Wrong-Sign' Quantum Oscillators and Their Meaningful Physical Interpretation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F23%3A00571840" target="_blank" >RIV/61389005:_____/23:00571840 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/62690094:18470/23:50020909

Výsledek na webu

<a href="https://doi.org/10.3390/e25040692" target="_blank" >https://doi.org/10.3390/e25040692</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/e25040692" target="_blank" >10.3390/e25040692</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Non-Stationary Non-Hermitian 'Wrong-Sign' Quantum Oscillators and Their Meaningful Physical Interpretation

Popis výsledku v původním jazyce

In the framework of quantum mechanics using quasi-Hermitian operators the standard unitary evolution of a non-stationary but still closed quantum system is only properly described in the non-Hermitian interaction picture (NIP). In this formulation of the theory both the states and the observables vary with time. A few aspects of implementation of this picture are illustrated via the 'wrong-sign' quartic oscillators. It is shown that in contrast to the widespread belief, both of the related Schrodinger-equation generators G(t) and the Heisenberg-equation generators s(t) are just auxiliary concepts. Their spectra are phenomenologically irrelevant and, in general, complex. It is argued that only the sum H(t)=G(t)+s(t) of the latter operators retains the standard physical meaning of the instantaneous energy of the unitary quantum system in question.

Název v anglickém jazyce

Non-Stationary Non-Hermitian 'Wrong-Sign' Quantum Oscillators and Their Meaningful Physical Interpretation

Popis výsledku anglicky

In the framework of quantum mechanics using quasi-Hermitian operators the standard unitary evolution of a non-stationary but still closed quantum system is only properly described in the non-Hermitian interaction picture (NIP). In this formulation of the theory both the states and the observables vary with time. A few aspects of implementation of this picture are illustrated via the 'wrong-sign' quartic oscillators. It is shown that in contrast to the widespread belief, both of the related Schrodinger-equation generators G(t) and the Heisenberg-equation generators s(t) are just auxiliary concepts. Their spectra are phenomenologically irrelevant and, in general, complex. It is argued that only the sum H(t)=G(t)+s(t) of the latter operators retains the standard physical meaning of the instantaneous energy of the unitary quantum system in question.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

Entropy

ISSN

1099-4300

e-ISSN

1099-4300

Svazek periodika

25

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

16

Strana od-do

692

Kód UT WoS článku

000980885000001

EID výsledku v databázi Scopus

2-s2.0-85153859442