On general-relativistic hydrogen and hydrogenic ions

  title={On general-relativistic hydrogen and hydrogenic ions},
  author={Michael K.-H. Kiessling and A. Shadi Tahvildar-Zadeh and Ebru Toprak},
  journal={Journal of Mathematical Physics},
This paper studies how the static non-linear electromagnetic-vacuum spacetime of a point nucleus with a negative bare mass affects the self-adjointness of the general-relativistic Dirac Hamiltonian for a test electron, without and with an anomalous magnetic moment. This study interpolates between the previously studied extreme cases of a test electron in (a) the Reissner–Weyl–Nordstrom spacetime (Maxwell’s electromagnetic vacuum), which sports a very strong curvature singularity with negative… 
1 Citations
On the Dirac operator for a test electron in a Reissner–Weyl–Nordström black hole spacetime
The present paper studies the Dirac Hamiltonian of a test electron with a domain of bi-spinor wave functions supported on the static region inside the Cauchy horizon of the subextremal RWN black hole


The general relativistic hydrogen atom
The general relativistic Dirac equation is formulated in an arbitrary curved space-time using differential forms. These equations are applied to spherically symmetric systems with arbitrary charge
Naked Reissner-Nordström singularities and the anomalous magnetic moment of the electron field
We study the problem of the quantization of the massive charged Dirac field on a naked Reissner-Nordstr\"{o}m background. We show that the introduction of an anomalous magnetic moment for the
Among all electromagnetic theories which (a) are derivable from a Lagrangian, (b) satisfy the dominant energy condition, and (c) in the weak field limit coincide with classical linear
Scalar fields and spin-half fields on mildly singular spacetimes
OF THE DISSERTATION Scalar fields and spin-half fields on mildly singular spacetimes By MOULIK KALLUPALAM BALASUBRAMANIAN Dissertation Director: Shadi Tahvildar-Zadeh A charged particle-spacetime is
One-electron atom as a probe of space-time curvature
We consider a one-electron atom in an arbitrary curved space-time. After reviewing the generalization of the Dirac equation to curved space-time, we develop the perturbation theory of degenerate
On the selfadjointness of Dirac operators with anomalous magnetic moment
We provide a new proof of Behncke's remarkable result that the Coulombic Dirac equation with nonzero anomalous magnetic moment is essentially selfadjoint (on Co( R3)4) for acny value of the Coulomb
Modified Field Equations with a Finite Radius of the Electron
THE attempts to combine Maxwell's equations with the quantum theory (Pauli, Heisenberg, Dirac) have not succeeded. One can see that the failure does not lie on the side of the quantum theory, but on
Semiclassical quantisation rules for the Dirac and Pauli equations
Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordström black hole background
It is shown analytically that the Dirac equation has no normalizable, time-periodic solutions in a Reissner–Nordstrom black hole background; in particular, there are no static solutions of the Dirac
Cartan frames and the general relativistic Dirac equation.
The Dirac equation for spin‐½ particles in curved space‐time is formulated using Cartan calculus. Unlike previous formulations, this method is easy to use because it expresses the Dirac equation in