On the computation of eigenvalues of the anharmonic Coulombic potential

DOI10.1007/s10910-017-0801-5zbMath1431.65125arXiv1511.04654OpenAlexW2964038957MaRDI QIDQ1708499

Hassan Safouhi, Tyler Cassidy, Philippe J. Gaudreau

Publication date: 23 March 2018

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

Full work available at URL: https://arxiv.org/abs/1511.04654

zbMATH Keywords

Schrödinger equationdouble exponential transformationsinc collocation methodCoulombic anharmonic potentials

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items

Comment on: ``On the computation of eigenvalues of the anharmonic Coulombic potential, An efficient interpolating wavelet collocation scheme for quasi‐exactly solvable Sturm–Liouville problems in ℝ+, Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities

Uses Software

• Matlab

Cites Work

• DE-sinc methods have almost the same convergence property as SE-sinc methods even for a family of functions fitting the SE-sinc methods. I: Definite integration and function approximation
• DE-sinc methods have almost the same convergence property as SE-sinc methods even for a family of functions fitting the SE-sinc methods. II: Indefinite integration
• Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method
• Calculation of bound states and resonances in perturbed Coulomb models
• Double exponential formulas for numerical integration
• Summary of Sinc numerical methods
• Sinc-Galerkin method for solving nonlinear boundary-value problems
• On the Lambert \(w\) function
• Sinc Function computation of the eigenvalues of Sturm-Liouville problems
• Double exponential transformation in the Sinc-collocation method for two-point boundary value problems
• Discovery of the double exponential transformation and its developments
• The double exponential sinc collocation method for singular Sturm-Liouville problems
• Function classes for successful DE-Sinc approximations
• A Sine-Collocation Method for the Computation of the Eigenvalues of the Radial Schrödinger Equation
• AN ALTERNATIVE SIMPLE SOLUTION OF THE SEXTIC ANHARMONIC OSCILLATOR AND PERTURBED COULOMB PROBLEMS
• The Hill determinant method in application to the sextic oscillator: limitations and improvement
• Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
• The Sinc-Galerkin Method for Fourth-Order Differential Equations
• A "Sinc-Galerkin" Method of Solution of Boundary Value Problems
• Near optimality of the sinc approximation
• Sinc-Galerkin method for solving linear sixth-order boundary-value problems
• A sinc-collocation method for initial value problems
• The double-exponential transformation in numerical analysis
• Sinc numerical solution for solitons and solitary waves
• Numerical study of Fisher's reaction-diffusion equation by the Sinc collocation method
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