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

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dc.contributor.areaMathematicsen_US
dc.contributor.authorGallone, Matteo
dc.contributor.authorMichelangeli, Alessandro
dc.date.accessioned2017-06-05T06:42:39Z
dc.date.available2017-06-05T06:42:39Z
dc.date.issued2017-06
dc.description.abstractWe 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.identifier.sissaPreprint26/2017/MATE
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35287
dc.language.isoenen_US
dc.relation.firstpage1en_US
dc.relation.ispartofseriesSISSA;26/2017/MATE
dc.relation.lastpage31en_US
dc.subjectDirac-Coulomb operatoren_US
dc.subjectself-adjoint extensionsen_US
dc.subjectKreĭn-Višik- Birman extension theoryen_US
dc.subjectGrubb's universal classificationen_US
dc.titleSelf-adjoint realisations of the Dirac-Coulomb Hamiltonian for heavy nucleien_US
dc.typePreprinten_US
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