Stability of Coulomb systems with magnetic fields - II. The many-electron atom and the one-electron molecule

Elliott H. Lieb; Michael Loss

doi:10.1007/BF01211594

Stability of Coulomb systems with magnetic fields - II. The many-electron atom and the one-electron molecule

Elliott H. Lieb, Michael Loss

Mathematics

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41 Scopus citations

Abstract

The analysis of the ground state energy of Coulomb systems interacting with magnetic fields, begun in Part I, is extended here to two cases. Case A: The many electron atom; Case B: One electron with arbitrarily many nuclei. As in Part I we prove that stability occurs if zα^12/7<const (in case A) and zα²<const (in case B), (z{divides}e{divides}=nuclear charge, α=fine structure constant), but a new feature enters in case B. There one also requires α<const, regardless of the value of z.

Original language	English (US)
Pages (from-to)	271-282
Number of pages	12
Journal	Communications In Mathematical Physics
Volume	104
Issue number	2
DOIs	https://doi.org/10.1007/BF01211594
State	Published - Jun 1986

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01211594

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title = "Stability of Coulomb systems with magnetic fields - II. The many-electron atom and the one-electron molecule",

abstract = "The analysis of the ground state energy of Coulomb systems interacting with magnetic fields, begun in Part I, is extended here to two cases. Case A: The many electron atom; Case B: One electron with arbitrarily many nuclei. As in Part I we prove that stability occurs if zα12/72",

author = "Lieb, {Elliott H.} and Michael Loss",

year = "1986",

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volume = "104",

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journal = "Communications In Mathematical Physics",

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T1 - Stability of Coulomb systems with magnetic fields - II. The many-electron atom and the one-electron molecule

AU - Lieb, Elliott H.

AU - Loss, Michael

PY - 1986/6

Y1 - 1986/6

N2 - The analysis of the ground state energy of Coulomb systems interacting with magnetic fields, begun in Part I, is extended here to two cases. Case A: The many electron atom; Case B: One electron with arbitrarily many nuclei. As in Part I we prove that stability occurs if zα12/72

AB - The analysis of the ground state energy of Coulomb systems interacting with magnetic fields, begun in Part I, is extended here to two cases. Case A: The many electron atom; Case B: One electron with arbitrarily many nuclei. As in Part I we prove that stability occurs if zα12/72

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JO - Communications In Mathematical Physics

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IS - 2

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Stability of Coulomb systems with magnetic fields - II. The many-electron atom and the one-electron molecule

Abstract

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