An exactly solvable three-dimensional nonlinear quantum oscillator

DOI10.1063/1.4829669zbMath1287.81048arXiv1304.3739OpenAlexW2050377318MaRDI QIDQ5410928

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Publication date: 17 April 2014

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

Full work available at URL: https://arxiv.org/abs/1304.3739

zbMATH Keywords

quantizationexact solutionsposition dependent massnonlinear quantum oscillator

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (8)

Rogue quantum harmonic oscillations ⋮ A quantum quasi-harmonic nonlinear oscillator with an isotonic term ⋮ On Hamiltonians with position-dependent mass from Kaluza-Klein compactifications ⋮ New scenarios for classical and quantum mechanical systems with position-dependent mass ⋮ Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach ⋮ Short note: Hamiltonian for a particle with position-dependent mass ⋮ Self-localized solitons of a \(q\)-deformed quantum system ⋮ Generalized quantum nonlinear oscillators: Exact solutions and rational extensions

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