Composition of Transfer Matrices for Potentials with Overlapping Support

Farhang Loran, Ali Mostafazadeh

For a pair of real or complex scattering potentials $v_j:\mathbb{R}\to \mathbb{C}$ ($j=1,2$) with support $I_j$ and transfer matrix $M_j$, the transfer matrix of $v_1+v_2$ is given…