Oscillator-Morse–Coulomb mappings and algebras for constant or position-dependent mass
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Publication:3544605
DOI10.1063/1.2838314zbMath1153.81422arXiv0712.1965OpenAlexW3098071919MaRDI QIDQ3544605
Publication date: 8 December 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.1965
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)
Related Items (2)
REVISITING (QUASI-)EXACTLY SOLVABLE RATIONAL EXTENSIONS OF THE MORSE POTENTIAL ⋮ New solutions of the \(D\)-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
Cites Work
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- Exact solutions of the Schrödinger equation with position-dependent mass for some Hermitian and non-Hermitian potentials
- New Hamiltonians with closed orbits
- First-order intertwining operators and position-dependent mass Schrödinger equations in \(d\) dimensions
- The quantum harmonic oscillator on the sphere and the hyperbolic plane
- Exact solutions of the position-dependent mass Schrödinger equation in \(D\) dimensions
- Exactly solvable potentials for the Schrödinger equation with spatially dependent mass
- -fold supersymmetry in quantum systems with position-dependent mass
- Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework
- Analysis of the spectrum generating algebra method for obtaining energy spectra
- Explicit solutions for N-dimensional Schrödinger equations with position-dependent mass
- DARBOUX TRANSFORMATIONS FOR N-DIMENSIONAL EFFECTIVE MASS SCHRÖDINGER EQUATIONS WITH HYPERSPHERICAL SYMMETRY
- Dynamical potential algebras for Gendenshtein and Morse potentials
- A search for shape-invariant solvable potentials
- A new class of quasi-exactly solvable potentials with a position-dependent mass
- Connection between type A and E factorizations and construction of satellite algebras
- Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass
- Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
- Generation of isospectral combinations of the potential and the effective-mass variations by supersymmetric quantum mechanics
- ALGEBRAIC APPROACH TO THE POSITION-DEPENDENT MASS SCHRÖDINGER EQUATION FOR A SINGULAR OSCILLATOR
- Shape-invariant quantum Hamiltonian with position-dependent effective mass through second-order supersymmetry
- On non-compact groups. II. Representations of the 2+1 Lorentz group
- Spectrum generating algebras for position-dependent mass oscillator Schrödinger equations
- d-dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass
- Ansu(1, 1) algebraic method for the hydrogen atom
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