NEW NUMEROV-TYPE METHODS FOR COMPUTING EIGENVALUES, RESONANCES, AND PHASE SHIFTS OF THE RADIAL SCHRODINGER EQUATION

A new family of P-stable two-step Numerov-type methods with minimal phase lag are developed for the numerical integration of the eigenvalue-resonance and phase shift problem of the one-dimensional Schrodinger equation. A new embedding technique to control the phase-lag error is introduced. Application to various potentials indicates that these new methods are generally more accurate than other previously developed finite-difference methods. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 62: 467–475, 1997

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