42 citations · 301 across the 30 of their papers we have counts for
5 papers · 1 filter
Ion Traps and the Memory Effect for Periodic Gravitational Waves
P. -M. Zhang, M. Cariglia, C. Duval +3
The Eisenhart lift of a Paul Trap used to store ions in molecular physics is a linearly polarized periodic gravitational wave. A modified version of Dehmelt's Penning Trap is in tu…
Marchenko method with incomplete data and singular nucleon scattering
Mahmut Elbistan, Pengming Zhang, Janos Balog
We apply the Marchenko method of quantum inverse scattering to study nucleon scattering problems. Assuming a type repulsive core and comparing our results to the Reid93 phe…
Sturm-Liouville and Carroll: at the heart of the Memory Effect
P. -M. Zhang, M. Elbistan, G. W. Gibbons +1
For a plane gravitational wave whose profile is given, in Brinkmann coordinates, by a symmetric traceless matrix , the matrix Sturm-Liouville equation $\ddot{P}=KP…
Neutron-proton scattering and singular potentials
Mahmut Elbistan, Pengming Zhang, Janos Balog
We consider a Bargmann-type rational parametrization of the nucleon scattering phase shifts. Applying Marchenko's method of quantum inverse scattering we show that the scattering d…
Optical helicity and Hertz vectors
Mahmut Elbistan
We study the conserved quantity associated with the dual symmetry of the Maxwell equations, called the optical helicity, by means of transverse Hertz vectors. In the presence of ch…