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Numerical Solution of the Spinless Salpeter Equation by a Semianalytical Matrix Method (A Mathematica 4.0 Routine)

Wen-Fa Lu
Organization: Yonsei University
Department: Institute of Physics and Applied Physics
F. Schöberl
Journal / Anthology

International Journal of Modern Physics C-Physics & Computers
Year: 2000
Volume: 11
Issue: 3
Page range: 485-492

In quantum theory, the "spinless Salpeter equation", the relativistic generalization of the nonrelativistic Schrödinger 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 Salpeter equation by approximating this eigenvalue equation by a matrix eigenvalue problem with explicitly known matrices.

*Science > Physics > Quantum Physics

spinless Salpeter equation, relativistic quantum theory, bound states