𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Exponential-fitting methods for the numerical solution of the schrodinger equation

✍ Scribed by A. Raptis; A.C. Allison


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
346 KB
Volume
14
Category
Article
ISSN
0010-4655

No coin nor oath required. For personal study only.

✦ Synopsis


The Chebyshevian Multi-step Theory of Lyche has been developed and applied to the numerical solution of the radial form of the Schrodinger equation. Significant improvements over previously reported approaches are found.


📜 SIMILAR VOLUMES


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

Numerical solution of eigenvalues for th
✍ J.W. Neuberger; D.W. Noid 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 267 KB

A method is proposed and tested for the quantum mechanical calculation of eigenvalues for a hamiltonian consisting of three coupled oscillators. The agreement of eisenvalues with a large variational calcularion is excellenr.