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Numerical Solution of the Spinless Salpeter Equation by a Semianalytical Matrix Method (A Mathematica 4.0 Routine)
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| Organization: | Yonsei University |
| Department: | Institute of Physics and Applied Physics |
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| International Journal of Modern Physics C-Physics & Computers |
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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.
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spinless Salpeter equation, relativistic quantum theory, bound states
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