Asymptotics for Bosonic Atoms

作者: Jan Philip Solovej

DOI: 10.1007/BF00398282

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摘要: It was proved by Benguria and Lieb that for an atom where the ‘electrons’ do not satisfy exclusion principle, critical electron number Nc, i.e., maximal of electrons can bind, satisfies lim infz→∞Nc/Z ⩾ 1 + γ, Z is nuclear charge. Here γ a positive constant derived from Hartree model. We complete this result proving correct asymptotics Nc(Z) indeed z→∞Nc/Z = γ.

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