Hundertmark, Dirk and Roehrl, Norbert and Siedentop, Heinz (2000) The sharp bound on the stability of the relativistic electron-positron field in Hartree-Fock approximation. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 211 (3). pp. 629-642. ISSN 0010-3616
Full text not available from this repository. (Request a copy)Abstract
It was shown in [2] that the energy of the relativistic electron-positron field interacting via a second quantized Coulomb potential in Hartree-Fock approximation is positive provided the fine structure constant is not bigger than 4/pi. We show that it is instable if the fine structure constant is above this critical value. We do this partially by adapting an idea of Chair, Iracane, and Lions [4] leading to an instability problem similar to the one of the no-pair hydrogen hamiltonian [5].
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM ELECTRODYNAMICS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 May 2022 14:20 |
| Last Modified: | 03 May 2022 14:20 |
| URI: | https://pred.uni-regensburg.de/id/eprint/42503 |
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