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math-ph2004★ 11 cited
Upper limit on the critical strength of central potentials in relativistic quantum mechanics
Fabian Brau
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 limi…
math-ph2004★ 8 cited
Critical strength of attractive central potentials
Fabian Brau, Monique Lassaut
We obtain several sequences of necessary and sufficient conditions for the existence of bound states applicable to attractive (purely negative) central potentials. These conditions…