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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Detalles Bibliográficos
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
Descripción
Sumario: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.

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