Families of quasi-exactly solvable extensions of the quantum oscillator in curved spaces

DOI10.1063/1.4983563zbMath1364.81131arXiv1612.00682OpenAlexW2559834390MaRDI QIDQ5738690

Christiane Quesne

Publication date: 12 June 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00682

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Exactly and quasi-solvable systems arising in quantum theory (81U15) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Special quantum systems, such as solvable systems (81Q80)

Related Items (4)

An efficient interpolating wavelet collocation scheme for quasi‐exactly solvable Sturm–Liouville problems in ℝ+ ⋮ Quasi-exactly solvable extensions of the Kepler-Coulomb potential on the sphere ⋮ Deformed shape invariance symmetry and potentials in curved space with two known eigenstates ⋮ Superintegrability on the three-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the sphere S ³ and on the hyperbolic space H ³

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