@article{10902/29122, year = {2019}, month = {4}, url = {https://hdl.handle.net/10902/29122}, abstract = {We determine explicitly a boundary triple for the Dirac operator H := -ia .V + mB + V(x) in R3 , for m c R and V(x) = IxI-1(vI4 + µB-il. x/IxIB), with v, µ, l c R. Consequently, we determine all the self-adjoint realizations of H in terms of the behavior of the functions of their domain in the origin. When supxIxIIV(x)<=1, we discuss the problem of selecting the distinguished extension requiring that its domain is included in the domain of the appropriate quadratic form.}, organization = {This work was mainly developed while B.C. and F.P. were employed at BCAM—Basque Center for Applied Mathematics, and they were supported by ERCEA Advanced Grant No. 2014 669689—HADE, by the MINECO Project No. MTM2014-53850-P, by Basque Government Project No. IT-641-13 and also by the Basque Government through the BERC 2018-2021 program, and by Spanish Ministry of Economy and Competitiveness MINECO: BCAM Severo Ochoa excellence accreditation No. SEV-2017-0718. B.C. also acknowledges the Istituto Italiano di Alta Matematica “F. Severi” and the Czech Science Foundation (GAČR) within the Project No. 17-01706S. F.P. also has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement MDFT No. 725528 of M.L.).}, publisher = {American Institute of Physics}, publisher = {Journal of Mathematical Physics, 2019, 60(4), 041502}, title = {Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations}, author = {Cassano, Biagio and Pizzichillo, Fabio}, }