12-15 July 2011
Saint George Hotel
Africa/Johannesburg timezone

Wave-packet scattering off a soliton

13 Jul 2011, 12:15


Oral Presentation Track G - Theoretical and Computational Physics Theoretical


Mr Ahmed Abdelhady (Stellenbosch University)


We investigate the scattering of a wave-packet off a soliton in the (1+1) dimensional kink model. We solve the classical, time-dependent field equation numerically subject to the initial condition that the wave-packet is widely separated from the kink soliton at very early times and propagates towards the soliton. After some time the wave-packet interacts with the static soliton and departs from it at later times. At very late times the wave-packet is finally again separated from the soliton. We then extract the scattering matrix from the distorted wave-packet and compare it to the known result from the static scattering calculation. This investigation constitutes a first step towards studying crossing symmetry in soliton models, i.e. in a framework beyond perturbation theory.

Level (Hons, MSc, <br> &nbsp; PhD, other)? MSc
Consider for a student <br> &nbsp; award (Yes / No)? Yes
Would you like to <br> submit a short paper <br> for the Conference <br> Proceedings (Yes / No)? Yes

Primary author

Mr Ahmed Abdelhady (Stellenbosch University)


Prof. Herbert Weigel (Stellenbosch University)

Presentation Materials