Lieb, Elliott H. and Siedentop, Heinz and Solovej, Jan Philip (1997) Stability and instability of relativistic electrons in classical electromagnetic fields. JOURNAL OF STATISTICAL PHYSICS, 89 (1-2). pp. 37-59. ISSN 0022-4715
Full text not available from this repository.Abstract
The stability of matter composed of electrons and static nuclei is investigated for a relativistic dynamics for the electrons given by a suitably projected Dirac operator and with Coulomb interactions. In addition there is an arbitrary classical magnetic field of finite energy. Despite the previously known Facts that ordinary nonrelativistic matter with magnetic fields, or relativistic matter without magnetic fields, is already unstable when alpha, the fine structure constant, is too large, it is noteworthy that the combination of the two is still stable provided the projection onto the positive energy states of the Dirac operator, which defines the electron, is chosen properly. A good choice is to include the magnetic field in the definition. A bad choice, which always leads to instability, is the usual one in which the positive energy states are defined by the free Dirac operator. Both assertions are proved here.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COULOMB-SYSTEMS; MAGNETIC-FIELDS; KINETIC-ENERGY; MATTER; FOUNDATIONS; FERMIONS; ATOMS; GAS; stability of matter; Schrodinger operators; magnetic fields; relativistic; Dirac operator; instability of matter |
| Subjects: | 500 Science > 510 Mathematics 500 Science > 530 Physics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Mar 2023 08:11 |
| Last Modified: | 28 Mar 2023 08:11 |
| URI: | https://pred.uni-regensburg.de/id/eprint/50531 |
Actions (login required)
 |
View Item |
