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Upper limit on the critical strength of central potentials in relativistic quantum mechanics

Fabian Brau
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Abstract

In the context of relativistic quantum mechanics, where the Schrödinger 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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Fabian Brau. 2004-12-14. Upper limit on the critical strength of central potentials in relativistic quantum mechanics. https://doi.org/10.1063/1.1850997

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