Stable forward shooting for eigenvalues and expectation values

DOI10.1016/0375-9601(95)00632-DzbMath1020.81562MaRDI QIDQ1965726

M. R. M. Witwit, John P. Killingbeck, Neil A. Gordon

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computational methods for problems pertaining to quantum theory (81-08)

Related Items (9)

A perturbation approach to finite difference methods ⋮ Calculating probabilities without quadrature ⋮ The eighth order Numerov method ⋮ One-dimensional Schrödinger equation and its exact representation on a discrete lattice. ⋮ The virial finite difference method. ⋮ Asymmetric bound states via the quadrupled Schrödinger equation. ⋮ Subsequence summation and the \(m\) function ⋮ An improved shooting approach for solving the time-independent Schrödinger equation for III/V QW structures ⋮ Numerical computation and analysis of the Titchmarsh-Weyl \(m_\alpha(\lambda)\) function for some simple potentials

Cites Work

• New variable-step procedure for the numerical integration of the one- dimensional Schrödinger equation
• A variable step method for the numerical integration of the one- dimensional Schrödinger equation
• Spectral theory for slowly oscillating potentials. I: Jacobi matrices
• A finite difference approach for the calculation of perturbed oscillator energies
• Boolean functions and finite difference eigenvalues
• On Noumerov's method for computing eigenvalues
• Energy levels of a three-dimensional anharmonic oscillator with sextic perturbation
• Symmetric matrix methods for Schrodinger eigenvectors
• Unnamed Item

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