25 citations · 32 across the 3 of their papers we have counts for
3 papers
hep-th2023★ 7 cited
Variational Approach to Excited Fermions on Kinks
Herbert Weigel, Danial Saadatmand
We study the back-reaction of fermion fields on the kink solution in one space and one time dimension. We employ a variational procedure to determine an upper limit for the minimum…
nlin.PS2016
High energy density spots and production of kink-antikink pairs in particle collisions
Alidad Askari, Danial Saadatmand, Sergey V. Dmitriev +1
The maximal energy density that can be achieved in the collisions of the particle-like wave trains in the model has been investigated numerically for different wave train par…
nlin.PS2014★ 25 cited
Interaction of sine-Gordon kinks and breathers with a -symmetric defect
Danial Saadatmand, Sergey V. Dmitriev, Denis I. Borisov +1
The scattering of kinks and low-frequency breathers of the nonlinear sine-Gordon (SG) equation on a spatially localized -symmetric perturbation (defect) with a balanc…