2024-03-28T10:45:04Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259.4/25692021-11-10T09:38:22Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558
00925njm 22002777a 4500
dc
Ballesteros, Ángel
author
Enciso, Alberto .
author
Herranz Zorrilla, Francisco José
author
Ragnisco, Orlando .
author
Riglioni, Danilo .
author
2013
The N-dimensional quantum Hamiltonian
Hˆ = −
~
2
|q|
2(η + |q|)
∇
2 −
k
η + |q|
is shown to be exactly solvable for any real positive value of the parameter η. Algebraically,
this Hamiltonian system can be regarded as a new maximally superintegrable η-deformation
of the N-dimensional Kepler–Coulomb Hamiltonian while, from a geometric viewpoint, this
superintegrable Hamiltonian can be interpreted as a system on an N-dimensional Riemannian
space with nonconstant curvature. The eigenvalues and eigenfunctions of the model are explicitly
obtained, and the spectrum presents a hydrogen-like shape for positive values of the deformation
parameter η and of the coupling constant k.
1742-6588
http://hdl.handle.net/10259.4/2569
10.1088/1742-6596/474/1/012008
A maximally superintegrable deformation of the N-dimensional quantum Kepler–Coulomb system