Abstract/Details

Integral equation method for the continuous spectrum radial Schroedinger equation


1999 1999

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Abstract (summary)

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.

Indexing (details)


Subject
Mathematics;
Nuclear physics;
Physics
Classification
0405: Mathematics
0610: Nuclear physics
0605: Physics
Identifier / keyword
Pure sciences; Boundary value; Continuous spectrum; Differential equations; Integral equations; Schroedinger equation
Title
Integral equation method for the continuous spectrum radial Schroedinger equation
Author
Gonzales, Reo Anacan
Number of pages
99
Publication year
1999
Degree date
1999
School code
0056
Source
DAI-B 60/09, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
0599488417, 9780599488410
Advisor
Koltracht, Israel
University/institution
University of Connecticut
University location
United States -- Connecticut
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9946738
ProQuest document ID
304501325
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/304501325/abstract
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