# A new exactly solvable quantum model in N dimensions

@article{Ballesteros2011ANE, title={A new exactly solvable quantum model in N dimensions}, author={{\'A}ngel Ballesteros and Alberto Enciso and Francisco J. Herranz and Orlando Ragnisco and Danilo Riglioni}, journal={Physics Letters A}, year={2011}, volume={375}, pages={1431-1435} }

## 22 Citations

A maximally superintegrable deformation of the N-dimensional quantum Kepler-Coulomb system

- Physics
- 2013

The N-dimensional quantum Hamiltonian 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…

Exactly solvable deformations of the oscillator and Coulomb systems and their generalization

- Mathematics
- 2014

We present two maximally superintegrable Hamiltonian systems Hλ and Hη that are defined, respectively, on an N-dimensional spherically symmetric generalization of the Darboux surface of type III and…

Quantum mechanics on spaces of nonconstant curvature: the oscillator problem and superintegrability

- Physics
- 2011

Classical and quantum higher order superintegrable systems from coalgebra symmetry

- Mathematics, Physics
- 2013

The N-dimensional generalization of Bertrand spaces as families of maximally superintegrable (M.S.) systems on spaces with a nonconstant curvature is analyzed. Considering the classification of…

The classical Darboux III oscillator: factorization, Spectrum Generating Algebra and solution to the equations of motion

- Mathematics
- 2016

In a recent paper the so-called Spectrum Generating Algebra (SGA) technique has been applied to the N-dimensional Taub-NUT system, a maximally superintegrable Hamiltonian system which can be…

An exactly solvable deformation of the Coulomb problem associated with the Taub-NUT metric

- Mathematics
- 2014

Global versus local superintegrability of nonlinear oscillators

- Mathematics, PhysicsPhysics Letters A
- 2019

Generalized Kaluza–Klein monopole, quadratic algebras and ladder operators

- Mathematics
- 2011

We present a generalized Kaluza–Klein monopole system. We solve this quantum superintegrable system on a Euclidean Taub Nut manifold using the separation of variables of the corresponding Schrödinger…

Position-dependent mass quantum Hamiltonians: General approach and duality

- Physics, Mathematics
- 2016

We analyze a general family of position-dependent mass (PDM) quantum Hamiltonians which are not self-adjoint and include, as particular cases, some Hamiltonians obtained in phenomenological…

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