The Renormalized Numerov Method Applied to Calculation of Bound States of the Coupled-Channel Schroedinger Equation.
AEROSPACE CORP EL SEGUNDO CALIF IVAN A GETTING LABS
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The renormalized Numerov method that was recently developed and applied to the one-dimensional bound state problem has been generalized to compute bound states of the coupled-channel Schroedinger equation. Included in this presentation is a generalization of the concept of a wavefunction node and a method for detecting these nodes. By using node count information, it is possible to converge to any specific eigenvalue without the need of an initial close guess and also to calculate degenerate eigenvalues and determine their degree of degeneracy. A useful interpolation formula for calculating the eigenfunctions at nongrid points is also given. Results of sample calculations are presented and discussed.
- Numerical Mathematics