𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A fourth-order Bessel fitting method for the numerical solution of the Schrödinger equation

✍ Scribed by T.E. Simos; A.D. Raptis


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
889 KB
Volume
43
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A new fourth-order Fourier–Bessel split-
✍ Patrick L. Nash 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 441 KB

Fourier split-step techniques are often used to compute soliton-like numerical solutions of the nonlinear Schro ¨dinger equation. Here, a new fourth-order implementation of the Fourier split-step algorithm is described for problems possessing azimuthal symmetry in 3 + 1-dimensions. This implementati

Exponential fitted methods for the numer
✍ T.E. Simos 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 500 KB

A new sixth-order Runge-Kutta type method is developed for the numerical integration of the one-dimensional Schrodinger equation. The formula developed contains certain free parameters which allows it to be fitted automatically to exponential functions. We give a comparative error analysis with othe

A Fortran program for the numerical inte
✍ J.R. Cash; A.D. Raptis; T.E. Simos 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 880 KB

This algorithm uses a high-order, variable step Runge-Kutta like method in the region where the potential term dominates, and an exponential or Bessel fitted method in the asymptotic region. This approach can be used to compute scattering phase shifts in an efficient and reliable manner. A Fortran p