Resumen
We point out that the eigenfunctions of energy-dependent separable potentials, which are commonly used in the relativistic three-body problem, form a complete set of states. The completeness property is important, since it is necessary in order to satisfy the optical theorem, and consequently to conserve probability. We show that there exists a large family of energy-dependent separable potentials whose eigenfunctions form a complete set. Although the eigenfunctions of these potentials are not mutually orthogonal, it is shown that in general they are linearly independent.
Idioma original | Inglés |
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Páginas (desde-hasta) | 1380-1386 |
Número de páginas | 7 |
Publicación | Journal of Mathematical Physics |
Volumen | 26 |
N.º | 6 |
DOI | |
Estado | Publicada - 1985 |