Numerical solution of the spinless Salpeter equation by a semianalytical matrix method (a Mathematica 4.0 routine)

Authors
Lucha, W Schoberl, FF
Citation
W. Lucha et Ff. Schoberl, Numerical solution of the spinless Salpeter equation by a semianalytical matrix method (a Mathematica 4.0 routine), INT J MOD C, 11(3), 2000, pp. 485-492
Citations number
13
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
ISSN journal
01291831 → ACNP
Volume
11
Issue
3
Year of publication
2000
Pages
485 - 492
Database
ISI
SICI code
0129-1831(200005)11:3<485:NSOTSS>2.0.ZU;2-W
Abstract
In quantum theory, the "spinless Salpeter equation", the relativistic gener alization of the nonrelativistic Schrodinger equation, is used to describe both the bound states of scalar particles and the spin-averaged spectra of bound states of fermions. A numerical procedure solves the spinless Salpete r equation by approximating this eigenvalue equation by a matrix eigenvalue problem with explicitly known matrices.