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

Research output: Contribution to journal › Article › peer-review

43 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

Access to Document

10.1007/BF01211594

Cite this

@article{2199f49e26284e8bb2a6bdca0e650e04,

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",

month = jun,

doi = "10.1007/BF01211594",

language = "English (US)",

volume = "104",

pages = "271--282",

journal = "Communications In Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

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

UR - https://www.scopus.com/pages/publications/0001226530

UR - https://www.scopus.com/pages/publications/0001226530#tab=citedBy

U2 - 10.1007/BF01211594

DO - 10.1007/BF01211594

M3 - Article

AN - SCOPUS:0001226530

SN - 0010-3616

VL - 104

SP - 271

EP - 282

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 2

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this