### Abstract

We prove that the quantum-mechanical ground state energy of a system consisting of an arbitrary number, M, of static nuclei of atomic number ≤ Z and of an arbitrary number, N, of Pauli electrons interacting with the quantized, ultraviolet-cutoff radiation field is bounded below by -K · M, where K is a finite constant depending on Z, on the finestructure constant α and on the ultraviolet cutoff Λ, with K ≤ K′ Λ, as Λ → ∞, and K′ independent of Λ.

Original language | English (US) |
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Pages (from-to) | 309-330 |

Number of pages | 22 |

Journal | Communications In Mathematical Physics |

Volume | 190 |

Issue number | 2 |

DOIs | |

State | Published - Jan 1 1997 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Fefferman, C. L., Fröhlich, J., & Graf, G. M. (1997). Stability of ultraviolet-cutoff quantum electrodynamics with non-relativistic matter.

*Communications In Mathematical Physics*,*190*(2), 309-330. https://doi.org/10.1007/s002200050243