Stability of coulomb systems with magnetic fields: I. The one-electron atom

Jürg Fröhlich; Elliott H. Lieb; Michael Loss

doi:10.1007/3-540-27056-6_29

Stability of coulomb systems with magnetic fields: I. The one-electron atom

Jürg Fröhlich, Elliott H. Lieb, Michael Loss

Mathematics

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

Abstract

The ground state energy of an atom in the presence of an external magnetic field B (with the electron spin-field interaction included) can be arbitrarily negative when B is arbitrarily large. We inquire whether stability can be restored by adding the self energy of the field, ∫B². For a hydrogenic like atom we prove that there is a critical nuclear charge, z _c, such that the atom is stable for z<z_c and unstable for z>z_c.

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	405-424
Number of pages	20
ISBN (Print)	3540420835, 9783540222125
DOIs	https://doi.org/10.1007/3-540-27056-6_29
State	Published - 2005

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1007/3-540-27056-6_29

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title = "Stability of coulomb systems with magnetic fields: I. The one-electron atom",

abstract = "The ground state energy of an atom in the presence of an external magnetic field B (with the electron spin-field interaction included) can be arbitrarily negative when B is arbitrarily large. We inquire whether stability can be restored by adding the self energy of the field, ∫B2. For a hydrogenic like atom we prove that there is a critical nuclear charge, z c, such that the atom is stable for zc and unstable for z>zc.",

author = "J{\"u}rg Fr{\"o}hlich and Lieb, {Elliott H.} and Michael Loss",

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T2 - I. The one-electron atom

AU - Fröhlich, Jürg

AU - Lieb, Elliott H.

AU - Loss, Michael

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N2 - The ground state energy of an atom in the presence of an external magnetic field B (with the electron spin-field interaction included) can be arbitrarily negative when B is arbitrarily large. We inquire whether stability can be restored by adding the self energy of the field, ∫B2. For a hydrogenic like atom we prove that there is a critical nuclear charge, z c, such that the atom is stable for zc and unstable for z>zc.

AB - The ground state energy of an atom in the presence of an external magnetic field B (with the electron spin-field interaction included) can be arbitrarily negative when B is arbitrarily large. We inquire whether stability can be restored by adding the self energy of the field, ∫B2. For a hydrogenic like atom we prove that there is a critical nuclear charge, z c, such that the atom is stable for zc and unstable for z>zc.

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BT - The Stability of Matter

PB - Springer Berlin Heidelberg

ER -

Stability of coulomb systems with magnetic fields: I. The one-electron atom

Abstract

All Science Journal Classification (ASJC) codes

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