𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A high order method for the numerical integration of the one-dimensional Schrödinger equation

✍ Scribed by J.R. Cash; A.D. Raptis


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
358 KB
Volume
33
Category
Article
ISSN
0010-4655

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Direct numerical integration of coupled
✍ M. Beiner; P. Gara 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 655 KB

Physical problems which can usually be described with the help of sets of coupled second-order differential equations are outlined. In the case of scattering problems, the direct numerical integration of these equations is the unique method of obtaining a solution. For bound-state calculations this

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

The reduction of the multi-dimensional s
✍ C.M Rosenthal 📂 Article 📅 1971 🏛 Elsevier Science 🌐 English ⚖ 648 KB

A method is proposed for reducing the multi-dimensional Schriidinger equation to a one\_dimensionaI integral equation. The reduction is exact; and the resulting integral equation although complicated, may be treated by any of a number of numerical methods. Two 24iniensional problems, the harmonic os

A program for performing a numerical int
✍ C. Foglia 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 272 KB

DIFEQ with boundary conditions ~p(a)= /~(b) = 0 are solved. The main purpose of this paper is to present a perturbative proce-Catalogue number: ACCC dure for the calculations of approximate eigenvalues of the Schrodinger equation. Program obtainable from: CPC Program Library, Queen's University of

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