Quantum-mechanical scattering from an assembly of nonoverlapping potentials

Quantum-mechanical elastic scattering from an assembly of nonoverlapping potentials is treated in a $T$-matrix formalism in configuration space. For potentials satisfying a certain fairly weak separation condition, the total $T$ matrix for the assembly of potentials is expressed in terms of the $T$ matrices for the individual potentials. The relation to the equations in $N$-body theory is briefly discussed.