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Self-adjoint realisations of the Dirac-Coulomb Hamiltonian for heavy nuclei

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dc.contributor.author Gallone, Matteo
dc.contributor.author Michelangeli, Alessandro
dc.date.accessioned 2017-06-05T06:42:39Z
dc.date.available 2017-06-05T06:42:39Z
dc.date.issued 2017-06
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/35287
dc.description.abstract We derive a classification of the self-adjoint extensions of the three-dimensional Dirac-Coulomb operator in the critical regime of the Coulomb coupling. Our approach is solely based upon the KreĬn-Višik- Birman extension scheme, or also on Grubb's universal classification theory, as opposite to previous works within the standard von Neu- mann framework. This let the boundary condition of self-adjointness emerge, neatly and intrinsically, as a multiplicative constraint between regular and singular part of the functions in the domain of the exten- sion, the multiplicative constant giving also immediate information on the invertibility property and on the resolvent and spectral gap of the extension. en_US
dc.language.iso en en_US
dc.relation.ispartofseries SISSA;26/2017/MATE
dc.subject Dirac-Coulomb operator en_US
dc.subject self-adjoint extensions en_US
dc.subject Kreĭn-Višik- Birman extension theory en_US
dc.subject Grubb's universal classification en_US
dc.title Self-adjoint realisations of the Dirac-Coulomb Hamiltonian for heavy nuclei en_US
dc.type Preprint en_US
dc.contributor.area Mathematics en_US
dc.identifier.sissaPreprint 26/2017/MATE
dc.relation.firstpage 1 en_US
dc.relation.lastpage 31 en_US


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