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

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, $g_{\mathrm{c}}^{(\ell )}$, of the coupling constant, $g$, of the central potential, $V(r)=-gv(r)$. This critical value is the value of $g$ for which a first $\ell$-wave bound state appears.

8 pages

References in corpus (1)

• Light Meson Spectra and Instanton Induced Forces

Cited by in corpus (5)

• Semirelativistic Hamiltonians and the auxiliary field method
• An upper bound for asymmetrical spinless Salpeter equations
• Auxiliary field method and analytical solutions of the Schrödinger equation with exponential potentials
• Deformed Morse-like potential
• Existence of mesons after deconfinement