Lieb, Elliott H. and Siedentop, Heinz and Solovej, Jan Philip (1997) Stability of relativistic matter with magnetic fields. PHYSICAL REVIEW LETTERS, 79 (10). pp. 1785-1788. ISSN 0031-9007, 1079-7114
Full text not available from this repository.Abstract
Stability of matter with Coulomb forces has been proved for nonrelativistic dynamics, including arbitrarily large magnetic fields, and for relativistic dynamics without magnetic fields. In both cases stability requires that the fine structure constant alpha be not too large. It was unclear what would happen for both relativistic dynamics and magnetic fields, or even how to formulate the problem clearly. We show that the use of the Dirac operator allows both effects, provided the filled negative energy ''sea'' is defined properly. The use of the free Dirac operator to define the negative levels leads to catastrophe for any alpha, but the use of the Dirac operator with magnetic field leads to stability.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COULOMB-SYSTEMS; ELECTRON ATOM; ENERGY; OPERATOR |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Mar 2023 09:23 |
| Last Modified: | 29 Mar 2023 09:23 |
| URI: | https://pred.uni-regensburg.de/id/eprint/50560 |
Actions (login required)
 |
View Item |
