Exact solutions forN-magnon scattering

On the Scattering of Magnon Boundstates

We study the scattering of magnon boundstates in the spin-chain description of planar N = 4 SUSY Yang-Mills. Starting from the conjectured exact S-matrix for magnons in the SU(2) sector, we calculate the corresponding S-matrix for boundstates with an arbitrary number of constituent magnons. The resulting expression has an interesting analytic structure with both simple and double poles. We also...

Two-Dimensional Forward Scattering: Comparisons of Approximate and Exact Solutions

Various methods for analyses of scattering are mentioned and new approximate relationships are derived. Experimental results for thin wire and several numerical simulations of forward scattering using approximate estimations, physical optics and exact solutions for two-dimensional scattering are presented both for far and near fields. That allows not only accuracy analyses but also conclusions ...

Magnon modes and magnon-vortex scattering in two-dimensional easy-plane ferromagnets

We calculate the magnon modes in the presence of a vortex on a circular system, combining analytical calculations in the continuum limit with a numerical diagonalization of the discrete system. The magnon modes are expressed by the S-matrix for magnon-vortex scattering, as a function of the parameters and the size of the system and for different boundary conditions. Certain quasi-local translat...

Integration forN - body

Multiple time stepping can be applied to the leapfrog/Stt ormer/Verlet integrator so as to eeect variable stepsize. The strategy maintains the symplecticness, time-reversibility, and second-order accuracy of leapfrog. This method can be applied to pairwise interactions by partitioning them into distance classes and smoothly decomposing the potential energy into the sum of potential energy funct...

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