(Extended) Numerov method for computing eigenvalues of specific Schrodinger equations
From MaRDI portal
Publication:3030161
DOI10.1088/0305-4470/20/13/022zbMath0626.65079OpenAlexW1983082926MaRDI QIDQ3030161
Guido Vanden Berghe, Veerle Fack
Publication date: 1987
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/20/13/022
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)
Related Items
A finite-difference method for the numerical solution of the Schrödinger equation, An extended Numerov-type method for the numerical solution of the Schrödinger equation, Embedded methods for the numerical solution of the Schrödinger equation, A simple and effective technique to locate quasi-degeneracy in a symmetric double well potential, A generator of high-order embedded \(P\)-stable methods for the numerical solution of the Schrödinger equation, Recursion formulae for the characteristic polynomial of symmetric banded matrices, Accurate high-lying eigenvalues of Schrödinger and Sturm-Liouville problems, Effects of temperature on thick branes and the fermion (quasi-)localization, Calculating bound states resonances and scattering amplitudes for arbitrary 1D potentials with piecewise parabolas, Applications of the amplitude-phase method to symmetric double-well potentials, Quantum energy and coherence exchange with discrete baths, An exponentially fitted eighth-order method for the numerical solution of the Schrödinger equation, A new finite difference scheme with minimal phase-lag for the numerical solution of the Schrödinger equation., Two-sided eigenvalue bounds for the spherically symmetric states of the Schrödinger equation, An accurate finite difference method for the numerical solution of the Schrödinger equation
