The weakly bound states in Gaussian wells: From the binding energy of deuteron to the electronic structure of quantum dots

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F24%3A73625490" target="_blank" >RIV/61989592:15310/24:73625490 - isvavai.cz</a>

Výsledek na webu

<a href="https://onlinelibrary.wiley.com/doi/epdf/10.1002/qua.27458" target="_blank" >https://onlinelibrary.wiley.com/doi/epdf/10.1002/qua.27458</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/qua.27458" target="_blank" >10.1002/qua.27458</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The weakly bound states in Gaussian wells: From the binding energy of deuteron to the electronic structure of quantum dots

Popis výsledku v původním jazyce

Gaussian potentials serve as a valuable tool for the comprehensive modeling of short-range interactions, spanning applications from Nuclear Physics to the artificial confinement of electrons within quantum dots. This study focuses on examining the lowest states within Gaussian wells, with particular emphasis on the weakly bound regime. The analysis delves into the asymptotic behavior of the exact wave function at both small and large distances, motivating the development of a few parametric Ansatz which is locally accurate and yields to a fast convergent basis set. To validate its efficacy, we assess its convergence rate using a toy model of Nuclear Physics, specifically for Deuteron. Furthermore, we employ the expansion of the energy close to the threshold to derive an analytical formula for the binding energy of the Deuteron whose accuracy improves as the effective parameter approaches the critical. To conclude our study, we test the ability of our Ansatz to describe relativistic corrections into a quantum dot and its performance as an orbital in the exploration of the electronic structure of a two-electron quantum dot.

Název v anglickém jazyce

The weakly bound states in Gaussian wells: From the binding energy of deuteron to the electronic structure of quantum dots

Popis výsledku anglicky

Gaussian potentials serve as a valuable tool for the comprehensive modeling of short-range interactions, spanning applications from Nuclear Physics to the artificial confinement of electrons within quantum dots. This study focuses on examining the lowest states within Gaussian wells, with particular emphasis on the weakly bound regime. The analysis delves into the asymptotic behavior of the exact wave function at both small and large distances, motivating the development of a few parametric Ansatz which is locally accurate and yields to a fast convergent basis set. To validate its efficacy, we assess its convergence rate using a toy model of Nuclear Physics, specifically for Deuteron. Furthermore, we employ the expansion of the energy close to the threshold to derive an analytical formula for the binding energy of the Deuteron whose accuracy improves as the effective parameter approaches the critical. To conclude our study, we test the ability of our Ansatz to describe relativistic corrections into a quantum dot and its performance as an orbital in the exploration of the electronic structure of a two-electron quantum dot.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10306 - Optics (including laser optics and quantum optics)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY

ISSN

0020-7608

e-ISSN

1097-461X

Svazek periodika

124

Číslo periodika v rámci svazku

15

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

15

Strana od-do

"e27458-1"-"e27458-15"

Kód UT WoS článku

001280407200001

EID výsledku v databázi Scopus

2-s2.0-85200032199