Exact solutions for nonpolynomial potentials in N-space dimensions using a factorization method and supersymmetry

DOI10.1063/1.529432zbMath0725.47048OpenAlexW1965816363MaRDI QIDQ5201827

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Publication date: 1991

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

Full work available at URL: https://doi.org/10.1063/1.529432

zbMATH Keywords

exact analytic solutionsquantum statesnonpolynomial oscillator potentialnonpolynomial potentialssupersymmetry-inspired factorization method

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Applications of functional analysis in quantum physics (46N50)

Related Items (3)

On the elementary Schrödinger bound states and their multiplets ⋮ An efficient interpolating wavelet collocation scheme for quasi‐exactly solvable Sturm–Liouville problems in ℝ+ ⋮ Trends in Supersymmetric Quantum Mechanics

Cites Work

• Exact solutions of the Schrödinger equation for a class of three-dimensional isotropic anharmonic oscillators
• Factorization method and new potentials with the oscillator spectrum
• Polynomial-type eigenfunctions
• The Schrodinger equation for the interaction potential x²+λx²/(1+gx²) and the first Heun confluent equation
• Dynamic-group approach to the x2+λx2/(1+g x2) potential
• The Schrodinger equation for the x²+λx²/(1+gx²) interaction
• Exact analytical eigenfunctions for the x²+ λ x²/(1+gx²) interaction
• On the x²+λx²/(1+gx²) interaction
• Exact solutions of the Schrodinger equation (-d/dx²+x²+ λx²/(1 +gx²))ψ(x) =Eψ(x)
• Pairs of analytical eigenfunctions for the x²+ λ x²/(1 + gx²) interaction
• On the simultaneous eigenproblem for the x²- λ x²(1 + gx²)^-1interaction: extension of Gallas' results
• On exact solutions of the Schrodinger equation

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