Distinguished Self-Adjoint Extension of the Two-Body Dirac Operator with Coulomb Interaction

Deckert, Dirk-Andre und Oelker, Martin (2019): Distinguished Self-Adjoint Extension of the Two-Body Dirac Operator with Coulomb Interaction. In: Annales Henri Poincare, Bd. 20, Nr. 7: S. 2407-2445

Abstract

We study the two-body Dirac operator in a bounded external field and for a class of unbounded pair-interaction potentials, both repulsive and attractive, including the Coulomb type. Provided the coupling constant of the pair-interaction fulfills a certain bound, we prove existence of a self-adjoint extension of this operator which is uniquely distinguished by means of finite potential energy. In the case of Coulomb interaction, we require as a technical assumption the coupling constant to be bounded by 2/pi.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1424-0637
• Sprache: Englisch