NUMERICAL SOLUTION OF THE SPINLESS SALPETER EQUATION BY A SEMIANALYTICAL MATRIX METHOD (A MATHEMATICA 4.0 ROUTINE)

Wolfgang Lucha () and Franz F. Schöberl ()
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Wolfgang Lucha: Institut für Hochenergiephysik, Österreichische Akademie der Wissenschaften, Nikolsdorfergasse 18, A-1050 Wien, Austria
Franz F. Schöberl: Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 03, 485-492

Abstract: 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 withexplicitly known matrices.

Keywords: Spinless Salpeter Equation; Relativistic Quantum Theory; Bound States; 03.65.Ge; 03.65.Pm; 11.10.St (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S0129183100000419

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