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Discrete spectra for critical Dirac-Coulomb Hamiltonians

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dc.contributor.author Gallone, Matteo
dc.contributor.author Michelangeli, Alessandro
dc.date.accessioned 2017-11-06T14:27:38Z
dc.date.available 2017-11-06T14:27:38Z
dc.date.issued 2017
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/35300
dc.description.abstract The one-particle Dirac Hamiltonian with Coulomb interaction is known to be realised, in a regime of large (critical) couplings, by an infinite multiplicity of distinct self-adjoint operators, including a distinguished physically most natural one. For the latter, Sommerfeld’s celebrated fine structure formula provides the well-known expression for the eigenvalues in the gap of the continuum spectrum. Exploiting our recent general classification of all other self-adjoint realisations, we generalise Sommerfeld’s formula so as to determine the discrete spectrum of all other self-adjoint versions of the Dirac-Coulomb Hamiltonian. Such discrete spectra display naturally a fibred structure, whose bundle covers the whole gap of the continuum spectrum. en_US
dc.language.iso en en_US
dc.relation.ispartofseries SISSA;44/2017/MATE
dc.subject Dirac-Coulomb operator en_US
dc.subject self-adjoint extension theories en_US
dc.subject confluent hypergeometric equation en_US
dc.subject supersymmetric Quantum Mechanics en_US
dc.title Discrete spectra for critical Dirac-Coulomb Hamiltonians en_US
dc.type Preprint en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US
dc.relation.firstpage 1 en_US
dc.relation.lastpage 20 en_US


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