A sensible estimate for the stability constant of the Lennard-Jones\n potential

2015/01/21 by Sergio A. Yuhjtman, Yuhjtman, Sergio Andrés · 2 citations
Physics and Astronomy · Mathematics · #Nuclear physics research studies #Quantum Mechanics and Non-Hermitian Physics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1501.05248

Abstract

We show that the stability constant of the Lennard-Jones potential in\n mathbb R³, \Φ(x)=\‖ x \‖^-12-2 \‖ x \‖^-6, is\nsmaller than 14.316. This is remarkably smaller than the best previously\nknown bound. Our method is probably applicable to other similar potentials such\nas the Morse potentials. We also improve slightly, in the Lennard-Jones case,\nthe lower bound for the minimum interparticle distance of an optimal\nn-particle configuration to 0.684.\n

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