Discrete spectra for critical Dirac-Coulomb Hamiltonians
Discrete spectra for critical Dirac-Coulomb Hamiltonians
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 …