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Self-adjoint extensions of the Dirac Hamiltonian with a delta-sphere interaction

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Avossevou, Gabriel Y.H. Hounkonnou, Mahouton Norbert Govaerts, Jan [UCL]

(eng) The purpose of this paper is to make an explicit construction of specific self-adjoint extensions of the Dirac Hamiltonian in the presence of a $\delta$-sphere interaction of finite radius. The exact resolvent kernel of the free Dirac operator is given. This specifies related results that have recently appeared in the literature. Comment: To appear in the Proceedings of the Third International Workshop on Contemporary Problems in Mathematical Physics (COPROMAPH3), 1st-7th November 2003, Cotonou (Republic of Benin), 14 pages

Document type Contribution à ouvrage collectif (Book Chapter) – Chapitre
Publication date 2004
Host document edited By: Jan Govaerts, M Norbert Hounkonnou and Alfred Z Msezane ; "Contemporary problems in mathematical physics"- 544-557 (ISBN : 9789812560308)
Peer reviewed yes
Affiliation UCL - SC/PHYS - Département de physique
Keywords High energy physics ; Theory
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Bibliographic reference Avossevou, Gabriel Y.H. ; Hounkonnou, Mahouton Norbert ; Govaerts, Jan. Self-adjoint extensions of the Dirac Hamiltonian with a delta-sphere interaction. In: edited By: Jan Govaerts, M Norbert Hounkonnou and Alfred Z Msezane, Contemporary problems in mathematical physics,  2004, p.544-557
Permanent URL http://hdl.handle.net/2078/30896