Pauli oscillator in noncommutative space

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F21%3A50018996" target="_blank" >RIV/62690094:18470/21:50018996 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1142/S0217732321502801" target="_blank" >http://dx.doi.org/10.1142/S0217732321502801</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0217732321502801" target="_blank" >10.1142/S0217732321502801</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Pauli oscillator in noncommutative space

Popis výsledku v původním jazyce

In this study, we investigate the Pauli oscillator in a noncommutative space. In other words, we derive wave function and energy spectrum of a spin half non-relativistic charged particle that is moving under a constant magnetic field with an oscillator potential in noncommutative space. We obtain critical values of the deformation parameter and the magnetic field, which they counteract the normal and anomalous Zeeman effects. Moreover, we find that the deformation parameter has to be smaller than 2.57 x 10(-26) m(2). Then, we derive the Helmholtz free energy, internal energy, specific heat and entropy functions of the Pauli oscillator in the non commutative space. With graphical methods, at first, we compare these functions with the ordinary ones, and then, we demonstrate the effects of magnetic field on these thermodynamic functions in the commutative and noncommutative space, respectively.

Název v anglickém jazyce

Pauli oscillator in noncommutative space

Popis výsledku anglicky

In this study, we investigate the Pauli oscillator in a noncommutative space. In other words, we derive wave function and energy spectrum of a spin half non-relativistic charged particle that is moving under a constant magnetic field with an oscillator potential in noncommutative space. We obtain critical values of the deformation parameter and the magnetic field, which they counteract the normal and anomalous Zeeman effects. Moreover, we find that the deformation parameter has to be smaller than 2.57 x 10(-26) m(2). Then, we derive the Helmholtz free energy, internal energy, specific heat and entropy functions of the Pauli oscillator in the non commutative space. With graphical methods, at first, we compare these functions with the ordinary ones, and then, we demonstrate the effects of magnetic field on these thermodynamic functions in the commutative and noncommutative space, respectively.

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

2021

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

36

Číslo periodika v rámci svazku

40

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

20

Strana od-do

"Article Number: 2150280"

Kód UT WoS článku

000747048600005

EID výsledku v databázi Scopus

2-s2.0-85123980394