A SOLVABLE NONSEPARABLE QUANTUM 2-BODY PROBLEM

We present a non-separable one-dimensional two body problem. It descri bes the reflection of a two-particle bound state off a discontinuity a cross which there is a steplike change in the interparticle potential. The model can bc used as a primitive description of a pick-up or stri pping reaction at an interface and also describes the diffusion of a p article in a plane containing an extended finite depth trap. The refle ction coefficient for the discontinuity is obtained in closed form.