RT info:eu-repo/semantics/article
T1 A maximally superintegrable deformation of the N-dimensional quantum Kepler–Coulomb system
A1 Ballesteros Castañeda, Ángel
A1 Enciso, Alberto .
A1 Herranz Zorrilla, Francisco José
A1 Ragnisco, Orlando .
A1 Riglioni, Danilo .
K1 Física
K1 Physics
AB The N-dimensional quantum HamiltonianHˆ = −~2|q|2(η + |q|)∇2 −kη + |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-deformationof the N-dimensional Kepler–Coulomb Hamiltonian while, from a geometric viewpoint, thissuperintegrable Hamiltonian can be interpreted as a system on an N-dimensional Riemannianspace with nonconstant curvature. The eigenvalues and eigenfunctions of the model are explicitlyobtained, and the spectrum presents a hydrogen-like shape for positive values of the deformationparameter η and of the coupling constant k.
PB IOP Publishing
SN 1742-6588
YR 2013
FD 2013
LK http://hdl.handle.net/10259.4/2569
UL http://hdl.handle.net/10259.4/2569
LA eng
NO XXIst International Conference on Integrable Systems and Quantum Symmetries (ISQS21,) 12–16 June 2013, Prague, Czech Republic
DS Repositorio Institucional de la Universidad de Burgos
RD 26-abr-2024