Content area
Abstract
A new approach to the numerical solution of boundary value problems for differential equations which originated in recent papers by Greengard and Rokhlin, is improved and adapted to the numerical solution of the radial Schrödinger equation. The approach is based on the conversion of the differential equation into an integral equation together with the application of a spectral type Clenshaw-Curtis quadrature.
The Integral Equation Method (IEM) is then extended to handle systems of coupled Schrödinger equations with both positive and negative channel energies. Through numerical examples, the IEM is shown to be superior to commonly used finite difference methods.
Details
Title
Integral equation method for the continuous spectrum radial Schroedinger equation
Author
Gonzales, Reo Anacan
Year
1999
ISBN
978-0-599-48841-0
Source type
Dissertation or Thesis
Language of publication
English
ProQuest document ID
304501325
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
