On a neutral Dirac particle interacting with a magnetic field in a topological defect space-time and its hidden supersymmetry

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F23%3A50020487" target="_blank" >RIV/62690094:18470/23:50020487 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1140/epjp/s13360-023-03944-z" target="_blank" >https://link.springer.com/article/10.1140/epjp/s13360-023-03944-z</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1140/epjp/s13360-023-03944-z" target="_blank" >10.1140/epjp/s13360-023-03944-z</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On a neutral Dirac particle interacting with a magnetic field in a topological defect space-time and its hidden supersymmetry

Popis výsledku v původním jazyce

In this paper, we study the relativistic quantum dynamics of a neutral Dirac particle with a permanent magnetic dipole moment that interacts with an external magnetic field in the background space-time of a linear topological defect called spiral dislocation. The generalized Dirac wave equation is derived from the full action of that model involving the Lagrangian density of the Dirac spinor field in the background and the interaction model. The energy eigenvalues and corresponding wave functions are found in closed form by reducing the problem to that of a non-relativistic particle moving freely on a plane with a hole at the origin whose radius is determined by the defect parameter. In the limit of vanishing external magnetic field we are also able to establish a hidden SUSY structure of the underlying Dirac Hamiltonian allowing us to discuss the non-relativistic limit in some detail.

Název v anglickém jazyce

On a neutral Dirac particle interacting with a magnetic field in a topological defect space-time and its hidden supersymmetry

Popis výsledku anglicky

In this paper, we study the relativistic quantum dynamics of a neutral Dirac particle with a permanent magnetic dipole moment that interacts with an external magnetic field in the background space-time of a linear topological defect called spiral dislocation. The generalized Dirac wave equation is derived from the full action of that model involving the Lagrangian density of the Dirac spinor field in the background and the interaction model. The energy eigenvalues and corresponding wave functions are found in closed form by reducing the problem to that of a non-relativistic particle moving freely on a plane with a hole at the origin whose radius is determined by the defect parameter. In the limit of vanishing external magnetic field we are also able to establish a hidden SUSY structure of the underlying Dirac Hamiltonian allowing us to discuss the non-relativistic limit in some detail.

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

The European physical journal plus

ISSN

2190-5444

e-ISSN

2190-5444

Svazek periodika

138

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

8

Strana od-do

"Article Number: 354"

Kód UT WoS článku

000975393900003

EID výsledku v databázi Scopus

2-s2.0-85154069533