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

Avossevou, Gabriel Y.H.;Hounkonnou, Mahouton Norbert;Govaerts, Jan
(2004) Contemporary problems in mathematical physics — ISBN: [9789812560308], 544-557

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Authors
  • Avossevou, Gabriel Y.H.
    Author
  • Hounkonnou, Mahouton Norbert
    Author
  • Govaerts, Janorcid-logoUCLouvain
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Abstract
(en) 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
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Avossevou, G. Y. H., Hounkonnou, M. N., & Govaerts, J. (2004). Self-adjoint extensions of the Dirac Hamiltonian with a delta-sphere interaction. In edited By: Jan Govaerts, M Norbert Hounkonnou and Alfred Z Msezane (Ed.), Contemporary problems in mathematical physics (pp. 544-557). https://hdl.handle.net/2078.5/257252