Some first excited energy levels for the generalized Killingbeck potential with the differential quadratic method

DOI10.1016/j.amc.2007.04.021zbMath1193.81016OpenAlexW2015675423MaRDI QIDQ990668

S. Hassouni, Y. Boumedjane, Hanane Saidi, Abdelwahab Zerarka

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.04.021

zbMATH Keywords

Schrödinger equationquadraticbound energieskillingbeck potentialLagrange's polynomial

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Cites Work

• Exact solutions of the two-dimensional Schrödinger equation with certain central potentials
• Energy spectra of the Schrödinger equation and the differential quadrature method
• An efficient Chebyshev-Lanczos method for obtaining eigensolutions of the Schrödinger equation on a grid
• The eigenenergies of the wave function through the non-variational Galerkin-\(B\)-spline approach
• Solution of the Dirac equation in the field of a magnetic monopole
• The exact solution of two new types of Schrodinger equation
• Properties of an Algebraic Transformation for 1D Schrödinger Potentials
• Quantum states of a sextic potential: hidden symmetry and quantum monodromy
• Shifted 1/N expansion and exact solutions for the potential V(r)=-Z/r+gr+λr²
• Exact solutions to the Schrödinger equation for potentials with Coulomb and harmonic oscillator terms
• Quantum monodromy in the spectrum of Schrödinger equation with a decatic potential

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