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

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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 Aρ^2ζ-2 - Bρ^ζ-2. We show that in these cases the non-compact (compact) algebra corresponds to so(2, 1) (su(2)).

Original language	English
Pages (from-to)	1024-1035
Number of pages	12
Journal	Annals of Physics
Volume	323
Issue number	4
DOIs	https://doi.org/10.1016/j.aop.2007.07.001
State	Published - Apr 2008

Keywords

Lie algebras
SUSY QM
Spectrum generating algebras
Symmetry

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10.1016/j.aop.2007.07.001

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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.",

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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

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Keywords

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