4 papers
On the Dirac operator for a test electron in a Reissner--Weyl--Nordström black hole spacetime
Michael K. -H. Kiessling, A. Shadi Tahvildar-Zadeh, Ebru Toprak
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 subextr…
On general-relativistic hydrogen and hydrogenic ions
Michael K. -H. Kiessling, A. Shadi Tahvildar-Zadeh, Ebru Toprak
This paper studies how the static non-linear electromagnetic-vacuum spacetime of a point nucleus with negative bare mass affects the self-adjointness of the general-relativistic Di…
On the Fourth order Schrödinger equation in three dimensions: dispersive estimates and zero energy resonances
Burak Erdogan, William R. Green, Ebru Toprak
We study the fourth order Schrödinger operator for a short range potential in three space dimensions. We provide a full classification of zero energy resonances and st…
On the Fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances
William R. Green, Ebru Toprak
We study the fourth order Schrödinger operator for a decaying potential in four dimensions. In particular, we show that the decay rate holds in the $L^1\t…