Rafael de la Llave Canosa, Charles L. Fefferman
In this article, we study the quantum mechanics of N electrons and M nuclei interacting by Coulomb forces. Motivated by an important idea of Chandrasekhar and following Herbst [H], we modify the usual kinetic energy -? to take into account an effect from special relativity. As a result, the system can implode for unfavorable values of the nuclear charge Z and the fine structure constant a. This is analogous to the gravitational collapse of a heavy star. Our goal here is to find those values of a and Z for which the system is stable.
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