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

Elliott H. Lieb; Michael Loss

doi:10.1007/3-540-27056-6_30

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

Elliott H. Lieb, Michael Loss

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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|e| = 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)
Title of host publication	The Stability of Matter
Subtitle of host publication	From Atoms to Stars: Fourth Edition
Publisher	Springer Berlin Heidelberg
Pages	425-436
Number of pages	12
ISBN (Print)	3540420835, 9783540222125
DOIs	https://doi.org/10.1007/3-540-27056-6_30
State	Published - 2005

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1007/3-540-27056-6_30

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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 zα12/7 2",

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

year = "2005",

doi = "10.1007/3-540-27056-6\_30",

language = "English (US)",

isbn = "3540420835",

pages = "425--436",

booktitle = "The Stability of Matter",

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TY - CHAP

T1 - Stability of coulomb systems with magnetic fields

T2 - II. The many-electron atom and the one-electron molecule

AU - Lieb, Elliott H.

AU - Loss, Michael

PY - 2005

Y1 - 2005

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 zα12/7 2

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 zα12/7 2

UR - https://www.scopus.com/pages/publications/84892246112

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U2 - 10.1007/3-540-27056-6_30

DO - 10.1007/3-540-27056-6_30

M3 - Chapter

AN - SCOPUS:84892246112

SN - 3540420835

SN - 9783540222125

SP - 425

EP - 436

BT - The Stability of Matter

PB - Springer Berlin Heidelberg

ER -

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

Abstract

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