Applications of the potential algebras of the two-dimensional Dirac-like operators

Kód výsledku v IS VaVaI

RIV/61389005:_____/13:00392303 - isvavai.cz

Výsledek na webu

http://ac.els-cdn.com/S0003491613000080/1-s2.0-S0003491613000080-main.pdf?_tid=e9c316f0-bbe7-11e2-b8ca-00000aab0f6c&acdnat=1368461731_fb8fe2f5da71ade23877f1a9bcddd89f

DOI - Digital Object Identifier

10.1016/j.aop.2013.01.004

Jazyk výsledku

angličtina

Název v původním jazyce

Applications of the potential algebras of the two-dimensional Dirac-like operators

Popis výsledku v původním jazyce

Potential algebras can be used effectively in the analysis of the quantum systems. In the article, we focus on the systems described by a separable, 2 x 2 matrix Hamiltonian of the first order in derivatives. We find integrals of motion of the Hamiltonian that close, centrally extended so(3), so(2, 1) or oscillator algebra. The algebraic framework is used in construction of physically interesting solvable models described by the (2 + 1) dimensional Dirac equation. It is applied in description of open-cage fullerenes where the energies and wave functions of low-energy charge-carriers are computed. The potential algebras are also used in construction of shape-invariant, one-dimensional Dirac operators. We show that shape-invariance of the first-order operators is associated with the N = 4 nonlinear supersymmetry which is represented by both local and nonlocal supercharges. The relation to the shape-invariant non-relativistic systems is discussed as well.

Název v anglickém jazyce

Applications of the potential algebras of the two-dimensional Dirac-like operators

Popis výsledku anglicky

Potential algebras can be used effectively in the analysis of the quantum systems. In the article, we focus on the systems described by a separable, 2 x 2 matrix Hamiltonian of the first order in derivatives. We find integrals of motion of the Hamiltonian that close, centrally extended so(3), so(2, 1) or oscillator algebra. The algebraic framework is used in construction of physically interesting solvable models described by the (2 + 1) dimensional Dirac equation. It is applied in description of open-cage fullerenes where the energies and wave functions of low-energy charge-carriers are computed. The potential algebras are also used in construction of shape-invariant, one-dimensional Dirac operators. We show that shape-invariance of the first-order operators is associated with the N = 4 nonlinear supersymmetry which is represented by both local and nonlocal supercharges. The relation to the shape-invariant non-relativistic systems is discussed as well.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

GPP203/11/P038: Skryté nelineární symetrie a supersymetrie v kvantových systémech

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

Annals of Physics

ISSN

0003-4916

e-ISSN

—

Svazek periodika

331

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

20

Strana od-do

216-235

Kód UT WoS článku

000316089700013

EID výsledku v databázi Scopus

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