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 E0 - AN7/5. We prove that 7/5 is the correct power by proving that E0 - BN7/5. For the non-relativistic bosonic, one-component jellium problem, Foldy and Girardcau showed that E0 - CNρ1/4. This 1/4 law is also validated here by showing that E0 - DNρ1/4. 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 - 2005 |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy