INVESTIGADORES
GONZALEZ PISANI Pablo Andres
artículos
Título:
Algebraic solution of the supersymmetric hydrogen atom in d-dimensions
Autor/es:
A. KIRCHBERG, J.D. LAENGE, P.A.G. PISANI AND A. WIPF
Revista:
Annals of Physics
Editorial:
Elsevier
Referencias:
Año: 2003 vol. 303 p. 359 - 388
Resumen:
In this paper the N=2 supersymmetric extension of the Schroedinger 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.
