Frank, Rupert L.; Nam, Phan Thanh; Bosch, Hanne van den (2018): The Maximal Excess Charge in Muller Density-Matrix-Functional Theory. In: Annales Henri Poincare, Vol. 19, No. 9: pp. 2839-2867 |

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### Abstract

We consider an atom described by Muller theory, which is similar to Hartree-Fock theory, but with a modified exchange term. We prove that a nucleus of charge Z can bind at most Z+C electrons, where C is a universal constant. Our proof proceeds by comparison with Thomas-Fermi theory, and a key ingredient is a novel bound on the number of electrons far from the nucleus.

Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |

Subjects: | 500 Science > 510 Mathematics |

ISSN: | 1424-0637 |

Language: | English |

ID Code: | 66399 |

Deposited On: | 19. Jul 2019 12:19 |

Last Modified: | 04. Nov 2020 13:47 |

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