Algebraic solution of the supersymmetric hydrogen atom in d dimensions

In this paper the N = 2 supersymmetric extension of the Schrodinger Hamiltonian with 1/r-potential in arbitrary space-dimensions is constructed. The supersymmetric hydrogen atom admits a conserved Laplace–Runge–Lenz vector which extends the rotational symmetry SO(d) to a hidden SO(d+1) symmetry. Thi...

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Autores principales: Kirchberg, A., Länge, J. D., González Pisani, Pablo Andrés, Wipf, Andreas
Formato: Articulo
Lenguaje:Inglés
Publicado: 2003
Materias:
Ciencias Exactas
Física
Laplace–Runge–Lenz vector
Supersymmetric quantum mechanics
Dynamical symmetry
Hydrogen atom
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/131597
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-131597
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Laplace–Runge–Lenz vector
Supersymmetric quantum mechanics
Dynamical symmetry
Hydrogen atom
spellingShingle Ciencias Exactas
Física
Laplace–Runge–Lenz vector
Supersymmetric quantum mechanics
Dynamical symmetry
Hydrogen atom
Kirchberg, A.
Länge, J. D.
González Pisani, Pablo Andrés
Wipf, Andreas
Algebraic solution of the supersymmetric hydrogen atom in d dimensions
topic_facet Ciencias Exactas
Física
Laplace–Runge–Lenz vector
Supersymmetric quantum mechanics
Dynamical symmetry
Hydrogen atom
description In this paper the N = 2 supersymmetric extension of the Schrodinger Hamiltonian with 1/r-potential in arbitrary space-dimensions is constructed. The supersymmetric hydrogen atom admits a conserved Laplace–Runge–Lenz vector which extends the rotational symmetry SO(d) to a hidden SO(d+1) symmetry. This symmetry of the system is used to determine the discrete eigenvalues with their degeneracies and the corresponding bound state wave functions.
format Articulo
Articulo
author Kirchberg, A.
Länge, J. D.
González Pisani, Pablo Andrés
Wipf, Andreas
author_facet Kirchberg, A.
Länge, J. D.
González Pisani, Pablo Andrés
Wipf, Andreas
author_sort Kirchberg, A.
title Algebraic solution of the supersymmetric hydrogen atom in d dimensions
title_short Algebraic solution of the supersymmetric hydrogen atom in d dimensions
title_full Algebraic solution of the supersymmetric hydrogen atom in d dimensions
title_fullStr Algebraic solution of the supersymmetric hydrogen atom in d dimensions
title_full_unstemmed Algebraic solution of the supersymmetric hydrogen atom in d dimensions
title_sort algebraic solution of the supersymmetric hydrogen atom in d dimensions
publishDate 2003
url http://sedici.unlp.edu.ar/handle/10915/131597
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AT gonzalezpisanipabloandres algebraicsolutionofthesupersymmetrichydrogenatominddimensions
AT wipfandreas algebraicsolutionofthesupersymmetrichydrogenatominddimensions
bdutipo_str Repositorios
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