Non-stationary quantum mechanics in hybrid non-Hermitian interaction representation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F23%3A00569665" target="_blank" >RIV/61389005:_____/23:00569665 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/62690094:18470/23:50020911

Výsledek na webu

<a href="https://doi.org/10.1016/j.physleta.2023.128655" target="_blank" >https://doi.org/10.1016/j.physleta.2023.128655</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.physleta.2023.128655" target="_blank" >10.1016/j.physleta.2023.128655</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Non-stationary quantum mechanics in hybrid non-Hermitian interaction representation

Popis výsledku v původním jazyce

A new formulation of unitary quantum mechanics is proposed. Conceptually our proposal is inspired not only by the conventional interaction picture (where the wave functions and the observables do both vary with time) and by the newer, non-Hermitian version of Schrodinger picture (where the Hamiltonians with real spectra are still stationary) but also by their universal non-Hermitian interaction-picture 'overlap' (NIP) in which the physical inner-product metric in Hilbert space is also time-dependent. The main idea of the innovation (called 'hybrid interaction picture', HIP) lies in a partial simplification of the NIP Hilbert-space metric achieved via a partial preconditioning of the operators (in this sense we call their necessary Hermitization 'hybrid'). Via an illustrative example it is shown that the HIP approach might open new ways towards the technically optimal quantum-model-building strategies.

Název v anglickém jazyce

Non-stationary quantum mechanics in hybrid non-Hermitian interaction representation

Popis výsledku anglicky

A new formulation of unitary quantum mechanics is proposed. Conceptually our proposal is inspired not only by the conventional interaction picture (where the wave functions and the observables do both vary with time) and by the newer, non-Hermitian version of Schrodinger picture (where the Hamiltonians with real spectra are still stationary) but also by their universal non-Hermitian interaction-picture 'overlap' (NIP) in which the physical inner-product metric in Hilbert space is also time-dependent. The main idea of the innovation (called 'hybrid interaction picture', HIP) lies in a partial simplification of the NIP Hilbert-space metric achieved via a partial preconditioning of the operators (in this sense we call their necessary Hermitization 'hybrid'). Via an illustrative example it is shown that the HIP approach might open new ways towards the technically optimal quantum-model-building strategies.

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

Physics Letters. A

ISSN

0375-9601

e-ISSN

1873-2429

Svazek periodika

462

Číslo periodika v rámci svazku

FEB

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

10

Strana od-do

128655

Kód UT WoS článku

000927450800001

EID výsledku v databázi Scopus

2-s2.0-85150642350