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Generalized finite element method applied to bound state calculation

✍ Scribed by Sture Nordholm; George Bacskay

Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
647 KB
Volume
42
Category
Article
ISSN
0009-2614

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✦ Synopsis

A new approach to the numerical solution of the quantum mechanical eigenvalue problem is outlined. The basic idea is to divide the spatial domain of tΓ±e problem into smaller pieces, solve the eigenvalue problem on each subdomaΓ―n and then couple the local solutions into the desired solution over the full domain using mathematicd principles borrowed kom the finitc element method of numerical analysis. Numeriul ulculations for some simple one-dimensional potentials illustrate the efficiency and accuracy of the method.

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