141 citations · 1.9k across the 71 of their papers we have counts for
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math-ph2016★ 16 cited
Families of quasi-exactly solvable extensions of the quantum oscillator in curved spaces
C. Quesne
We introduce two new families of quasi-exactly solvable (QES) extensions of the oscillator in a -dimensional constant-curvature space. For the first three members of each family…
math-ph2016★ 8 cited
Quasi-exactly solvable symmetrized quartic and sextic polynomial oscillators
C. Quesne
The symmetrized quartic polynomial oscillator is shown to admit an sl(2,) algebraization. Some simple quasi-exactly solvable (QES) solutions are exhibited. A new symmetrized se…
math-ph2016★ 27 cited
Quantum oscillator and Kepler-Coulomb problems in curved spaces: deformed shape invariance, point canonical transformations, and rational extensions
C. Quesne
The quantum oscillator and Kepler-Coulomb problems in -dimensional spaces with constant curvature are analyzed from several viewpoints. In a deformed supersymmetric framework, t…