## Abstract

Within the framework of nonrelativisitic quantum electrodynamics we consider a single nucleus and N electrons coupled to the radiation field. Since the total momentum P is conserved, the Hamiltonian H admits a fiber decomposition with respect to P with fiber Hamiltonian H (P). A stable atom, respectively ion, means that the fiber Hamiltonian H (P) has an eigenvalue at the bottom of its spectrum. We establish the existence of a ground state for H (P) under (i) an explicit bound on P, (ii) a binding condition, and (iii) an energy inequality. The binding condition is proven to hold for a heavy nucleus and the energy inequality for spinless electrons.

Original language | English |
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Pages (from-to) | 353-393 |

Number of pages | 41 |

Journal | Journal of Functional Analysis |

Volume | 243 |

Issue number | 2 |

DOIs | |

State | Published - 15 Feb 2007 |

## Keywords

- Binding energy
- Ground state
- Infrared photons