Harmonic oscillator in the context of the extended uncertainty principle

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F23%3A50020944" target="_blank" >RIV/62690094:18470/23:50020944 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1142/S0217732323500797" target="_blank" >http://dx.doi.org/10.1142/S0217732323500797</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0217732323500797" target="_blank" >10.1142/S0217732323500797</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Harmonic oscillator in the context of the extended uncertainty principle

Popis výsledku v původním jazyce

At large-scale distances where the space-time is curved due to gravity, a nonzero minimal uncertainty in the momentum, (&amp; UDelta;P)min, is being estimated to emerge. The presence of minimal uncertainty in momentum allows a modification to the quantum uncertainty principle, which is known as the extended uncertainty principle (EUP). In this work, we handle the harmonic oscillator problem in the EUP scenario and obtain analytical exact solutions in classical and semi-classical domains. In the classical context, we establish the equations of motion of the oscillator and show that the EUP-corrected frequency is depending on the energy and deformation parameter. In the semi-classical domain, we derive the energy eigenvalue levels and demonstrate that the energy spectrum depends on n2, as the feature of hard confinement. Finally, we investigate the impact of the EUP on the harmonic oscillator&apos;s thermodynamic properties by using the EUP-corrected partition functions in the classical limit in the (A)dS backgrounds.

Název v anglickém jazyce

Harmonic oscillator in the context of the extended uncertainty principle

Popis výsledku anglicky

At large-scale distances where the space-time is curved due to gravity, a nonzero minimal uncertainty in the momentum, (&amp; UDelta;P)min, is being estimated to emerge. The presence of minimal uncertainty in momentum allows a modification to the quantum uncertainty principle, which is known as the extended uncertainty principle (EUP). In this work, we handle the harmonic oscillator problem in the EUP scenario and obtain analytical exact solutions in classical and semi-classical domains. In the classical context, we establish the equations of motion of the oscillator and show that the EUP-corrected frequency is depending on the energy and deformation parameter. In the semi-classical domain, we derive the energy eigenvalue levels and demonstrate that the energy spectrum depends on n2, as the feature of hard confinement. Finally, we investigate the impact of the EUP on the harmonic oscillator&apos;s thermodynamic properties by using the EUP-corrected partition functions in the classical limit in the (A)dS backgrounds.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

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

Modern Physics Letters A

ISSN

0217-7323

e-ISSN

1793-6632

Svazek periodika

38

Číslo periodika v rámci svazku

14-15

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

15

Strana od-do

"Article Number: 2350079"

Kód UT WoS článku

001066240400004

EID výsledku v databázi Scopus

2-s2.0-85168945519