### 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 zα^{2}<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) |
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Pages (from-to) | 271-282 |

Number of pages | 12 |

Journal | Communications in Mathematical Physics |

Volume | 104 |

Issue number | 2 |

DOIs | |

State | Published - Jun 1 1986 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Lieb, E., & Loss, M. (1986). Stability of Coulomb systems with magnetic fields - II. The many-electron atom and the one-electron molecule.

*Communications in Mathematical Physics*,*104*(2), 271-282. https://doi.org/10.1007/BF01211594