Composite Quantum Coriolis Forces

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F23%3A00571103" target="_blank" >RIV/61389005:_____/23:00571103 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/62690094:18470/23:50020910

Výsledek na webu

<a href="https://doi.org/10.3390/math11061375" target="_blank" >https://doi.org/10.3390/math11061375</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/math11061375" target="_blank" >10.3390/math11061375</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Composite Quantum Coriolis Forces

Popis výsledku v původním jazyce

In a consistent quantum theory known as 'non-Hermitian interaction picture' (NIP), the standard quantum Coriolis operator S(t) emerges whenever the observables of a unitary system are given in their quasi-Hermitian and non-stationary rather than 'usual' representations. With S(t) needed, in NIP, in both the Schrodinger-like and Heisenberg-like dynamical evolution equations we show that another, amended and potentially simplified theory can be based on an auxiliary N-term factorization of the Dyson's Hermitization map O(t). The knowledge of this factorization is shown to lead to a multiplet of alternative eligible Coriolis forces S-n(t) with n=0,1, horizontal ellipsis ,N. The related formulae for the measurable predictions constitute a new formalism refered to as 'factorization-based non-Hermitian interaction picture' (FNIP). The conventional NIP formalism (where N=1) becomes complemented by an (N-1)-plet of its innovative 'hybrid' alternatives. Some of the respective ad hoc adaptations of observables may result in an optimal representation of quantum dynamics.

Název v anglickém jazyce

Composite Quantum Coriolis Forces

Popis výsledku anglicky

In a consistent quantum theory known as 'non-Hermitian interaction picture' (NIP), the standard quantum Coriolis operator S(t) emerges whenever the observables of a unitary system are given in their quasi-Hermitian and non-stationary rather than 'usual' representations. With S(t) needed, in NIP, in both the Schrodinger-like and Heisenberg-like dynamical evolution equations we show that another, amended and potentially simplified theory can be based on an auxiliary N-term factorization of the Dyson's Hermitization map O(t). The knowledge of this factorization is shown to lead to a multiplet of alternative eligible Coriolis forces S-n(t) with n=0,1, horizontal ellipsis ,N. The related formulae for the measurable predictions constitute a new formalism refered to as 'factorization-based non-Hermitian interaction picture' (FNIP). The conventional NIP formalism (where N=1) becomes complemented by an (N-1)-plet of its innovative 'hybrid' alternatives. Some of the respective ad hoc adaptations of observables may result in an optimal representation of quantum dynamics.

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

—

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

Mathematics

ISSN

2227-7390

e-ISSN

2227-7390

Svazek periodika

11

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

18

Strana od-do

1375

Kód UT WoS článku

000960560600001

EID výsledku v databázi Scopus

2-s2.0-85151352163