## Abstract

Non-relativistic bosons interacting with Coulomb forces are unstable, as Dyson showed 20 years ago, in the sense that the ground state energy satisfies E_{0} - AN^{7/5}. We prove that 7/5 is the correct power by proving that E_{0} - BN^{7/5}. For the non-relativistic bosonic, one-component jellium problem, Foldy and Girardcau showed that E_{0} - CNρ^{1/4}. This 1/4 law is also validated here by showing that E_{0} - DNρ^{1/4}. These bounds prove that the Bogoliubov type paired wave function correctly predicts the order of magnitude of the energy.

Original language | English (US) |
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Title of host publication | The Stability of Matter |

Subtitle of host publication | From Atoms to Stars: Fourth Edition |

Publisher | Springer Berlin Heidelberg |

Pages | 777-808 |

Number of pages | 32 |

ISBN (Print) | 3540420835, 9783540222125 |

DOIs | |

State | Published - Jan 1 2005 |

## All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

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