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

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dc.creatorBrau, Fabian
dc.date2004-12-14
dc.date.accessioned2026-07-07T04:31:43Z
dc.date.available2026-07-07T04:31:43Z
dc.descriptionIn 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.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0412042
dc.identifierhttp://arxiv.org/abs/math-ph/0412042
dc.identifierJ. Math. Phys. 46, 032305 (2005)
dc.identifierdoi:10.1063/1.1850997
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57924
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleUpper limit on the critical strength of central potentials in relativistic quantum mechanics
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