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• W2031146574 abstract "An N-dimensional position-dependent mass Hamiltonian (depending on a parameter lambda) formed by a curved kinetic term and an intrinsic oscillator potential is considered. It is shown that such a Hamiltonian is exactly solvable for any real positive value of the parameter lambda. Algebraically, this Hamiltonian can be thought of as a new maximally superintegrable lambda-deformation of the N-dimensional isotropic oscillator and, from a geometric viewpoint, this system is just the intrinsic oscillator potential on an N-dimensional hyperbolic space with nonconstant curvature. The spectrum of this model is shown to be hydrogenlike, and their eigenvalues and eigenfunctions are explicitly obtained by deforming appropriately the symmetry properties of the N-dimensional harmonic oscillator. A further generalization of this construction giving rise to new exactly solvable models is envisaged." @default.
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• W2031146574 date "2011-03-01" @default.
• W2031146574 modified "2023-10-02" @default.
• W2031146574 title "A new exactly solvable quantum model in N dimensions" @default.
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• W2031146574 doi "https://doi.org/10.1016/j.physleta.2011.02.034" @default.
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