SUSY QM, symmetries and spectrum generating algebras for two-dimensional systems

D. Martínez; R. D. Mota

doi:10.1016/j.aop.2007.07.001

SUSY QM, symmetries and spectrum generating algebras for two-dimensional systems

D. Martínez, R. D. Mota

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Culhuacán

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

10 Citas (Scopus)

Resumen

We show in a systematic and clear way how factorization methods can be used to construct the generators for hidden and dynamical symmetries. This is shown by studying the 2D problems of hydrogen atom, the isotropic harmonic oscillator and the radial potential Aρ^2ζ-2 - Bρ^ζ-2. We show that in these cases the non-compact (compact) algebra corresponds to so(2, 1) (su(2)).

Idioma original	Inglés
Páginas (desde-hasta)	1024-1035
Número de páginas	12
Publicación	Annals of Physics
Volumen	323
N.º	4
DOI	https://doi.org/10.1016/j.aop.2007.07.001
Estado	Publicada - abr. 2008

Acceder al documento

10.1016/j.aop.2007.07.001

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{e887a191aca14754b7c6b8eec1c72473,

title = "SUSY QM, symmetries and spectrum generating algebras for two-dimensional systems",

abstract = "We show in a systematic and clear way how factorization methods can be used to construct the generators for hidden and dynamical symmetries. This is shown by studying the 2D problems of hydrogen atom, the isotropic harmonic oscillator and the radial potential Aρ2ζ-2 - Bρζ-2. We show that in these cases the non-compact (compact) algebra corresponds to so(2, 1) (su(2)).",

keywords = "Lie algebras, SUSY QM, Spectrum generating algebras, Symmetry",

author = "D. Mart{\'i}nez and Mota, {R. D.}",

note = "Funding Information: This work was partially supported by COFAA-IPN, EDI-IPN, SIP-IPN projects numbers 20070717 and 20071135.",

year = "2008",

month = apr,

doi = "10.1016/j.aop.2007.07.001",

language = "Ingl{\'e}s",

volume = "323",

pages = "1024--1035",

journal = "Annals of Physics",

issn = "0003-4916",

number = "4",

}

TY - JOUR

T1 - SUSY QM, symmetries and spectrum generating algebras for two-dimensional systems

AU - Martínez, D.

AU - Mota, R. D.

N1 - Funding Information: This work was partially supported by COFAA-IPN, EDI-IPN, SIP-IPN projects numbers 20070717 and 20071135.

PY - 2008/4

Y1 - 2008/4

N2 - We show in a systematic and clear way how factorization methods can be used to construct the generators for hidden and dynamical symmetries. This is shown by studying the 2D problems of hydrogen atom, the isotropic harmonic oscillator and the radial potential Aρ2ζ-2 - Bρζ-2. We show that in these cases the non-compact (compact) algebra corresponds to so(2, 1) (su(2)).

AB - We show in a systematic and clear way how factorization methods can be used to construct the generators for hidden and dynamical symmetries. This is shown by studying the 2D problems of hydrogen atom, the isotropic harmonic oscillator and the radial potential Aρ2ζ-2 - Bρζ-2. We show that in these cases the non-compact (compact) algebra corresponds to so(2, 1) (su(2)).

KW - Lie algebras

KW - SUSY QM

KW - Spectrum generating algebras

KW - Symmetry

UR - http://www.scopus.com/inward/record.url?scp=40749087708&partnerID=8YFLogxK

U2 - 10.1016/j.aop.2007.07.001

DO - 10.1016/j.aop.2007.07.001

M3 - Artículo

SN - 0003-4916

VL - 323

SP - 1024

EP - 1035

JO - Annals of Physics

JF - Annals of Physics

IS - 4

ER -

SUSY QM, symmetries and spectrum generating algebras for two-dimensional systems

Resumen

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto