Computation of the Semiclassical Limit of the Schrödinger Equation with Phase Shift by a Level Set Method
✍ Scribed by Shi Jin; Xu Yang
- Publisher
- Springer US
- Year
- 2007
- Tongue
- English
- Weight
- 813 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0885-7474
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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 method has been developed for the numerical solution of the eigenvalue Schrfdinger equation. The eigenvalues are computed directly as roots of a function known in transmission line theory as the impedance. The novel numerical algorithm is based also on the piecewise perturbation analysis. The new
The importance ~mpling method is applied to the least SXJUZIXS solution of the Schrtidinger equation, using the sphericaS facssian orbital to sekct points. Application to the helium atom gives good results with relatively few points.