19 citations · 31 across the 5 of their papers we have counts for
6 papers
On the generalized semi-relativistic Schrödinger-Poisson system in R^n
Walid Abou Salem, Thomas Chen, Vitali Vougalter
The Cauchy problem for the semi-relativistic Schrödinger-Poisson system of equations is studied in , , for a wide class of nonlocal interactions. Furthermor…
Existence and nonlinear stability of stationary states for the semi-relativistic Schrödinger-Poisson system
Walid Abou Salem, Thomas Chen, Vitali Vougalter
We study the stationary states of the semi-relativistic Schrödinger-Poisson system in the repulsive (plasma physics) Coulomb case. In particular, we establish the existence and the…
On the well-posedness of the semi-relativistic Schrodinger-Poisson system
Walid Abou Salem, Thomas Chen, Vitali Vougalter
We show global existence and uniqueness of strong solutions for the Schrodinger-Poisson system in the repulsive Coulomb case with relativistic kinetic energy.
A quantum spin approach to histone dynamics
C. Gils, J. L. Wrana, W. K. Abou Salem
Post-translational modifications of histone proteins are an important factor in epigenetic control that serve to regulate transcription, depending on the particular modification st…
Colliding solitons for the nonlinear Schrodinger equation
W. K. Abou Salem, J. Froehlich, I. M. Sigal
We study the collision of two fast solitons for the nonlinear Schrödinger equation in the presence of a spatially adiabatic external potential. For a high initial relative speed $\…
On the theory of resonances in non-relativistic QED and related models
W. K. Abou Salem, J. Faupin, J. Froehlich +1
We study the mathematical theory of quantum resonances in the standard model of non-relativistic QED and in Nelson's model. In particular, we estimate the survival probability of m…