Numerov method maximally adapted to the schr6dinger equation
✍ Scribed by L.Gr Ixaru; M Rizea
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 994 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0021-9991
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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 ẗechnique to control the phase-lag error is introduced. Applicati
A systematic improved comparison equation method to solve the Schrijdinger equation is described. The method is useful in quantum mechanical calculations inv&~ -0 or more titian or turning points and is applicable to real potentials with continuol;s derivatives. As a computatior 4 example of the met
The subject of this study is a multilevel 2D finite element method (FEM) based on a local error estimator and self-adaptive grid refinement as a universal tool for solving stationary Schriidinger eigenvalue problems. Numerical results for standard problems appearing in vibrational motion and molecul