Physics – Mathematical Physics
Scientific paper
2004-12-14
J. Math. Phys. 46, 032305 (2005)
Physics
Mathematical Physics
8 pages
Scientific paper
10.1063/1.1850997
In the context of relativistic quantum mechanics, where the Schr\"odinger equation is replaced by the spinless Salpeter equation, we show how to construct a large class of upper limits on the critical value, $g_{\rm{c}}^{(\ell)}$, of the coupling constant, $g$, of the central potential, $V(r)=-g v(r)$. This critical value is the value of $g$ for which a first $\ell$-wave bound state appears.
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