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• W1982208509 abstract "We consider the quantum mechanical many-body problem of electrons and fixed nuclei interacting via Coulomb forces, but with a relativistic form for the kinetic energy, namely p 2/2m is replaced by (p 2 c 2+m 2 c 4) 1/2 −mc 2. The electrons are allowed to have q spin states (q = 2 in nature). For one electron and one nucleus instability occurs if zα > 2/π where z is the nuclear charge and α is the fine structure constant. We prove that stability occurs in the many-body case if zα ≦ 2/π and α αc then instability always occurs for all positive z (not necessarily integral) when the number of nuclei is large enough. Several other results of a technical nature are also given such as localization estimates and bounds for the relativistic kinetic energy." @default.
• W1982208509 created "2016-06-24" @default.
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• W1982208509 date "2006-02-08" @default.
• W1982208509 modified "2023-09-29" @default.
• W1982208509 title "The Stability and Instability of Relativistic Matter" @default.
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• W1982208509 doi "https://doi.org/10.1007/3-540-27056-6_34" @default.
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