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

Jürg Fröhlich; Elliott H. Lieb; Michael Loss

doi:10.1007/BF01211593

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

Jürg Fröhlich
, Elliott H. Lieb
, Michael Loss

Mathematics

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

125 Scopus citations

Abstract

The ground state energy of an atom in the presence of an external magnetic filed B (with the electron spin-field interaction included) can be arbitrarity 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)
Pages (from-to)	251-270
Number of pages	20
Journal	Communications In Mathematical Physics
Volume	104
Issue number	2
DOIs	https://doi.org/10.1007/BF01211593
State	Published - Jun 1986

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01211593

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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 filed B (with the electron spin-field interaction included) can be arbitrarity 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, zc, such that the atom is stable for zc and unstable for z>zc.",

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N2 - The ground state energy of an atom in the presence of an external magnetic filed B (with the electron spin-field interaction included) can be arbitrarity 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, zc, 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 filed B (with the electron spin-field interaction included) can be arbitrarity 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, zc, such that the atom is stable for zc and unstable for z>zc.

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

Abstract

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