Delocalization of two interacting particles in a random potential: One-dimensional electric interaction

We consider a continuous one-dimensional model of two charged interacting p articles in a random potential. The electric repulsion is strictly one dime nsional and it inhibits Anderson localization. In fact, the spectrum is con tinuous. The case of electrical attraction is briefly studied and it shows bounded states. So, the dynamics is sign dependent for this model. We suppo rt our analytical results with numerical simulations where the effect of re pulsion breaking Idealization is clearly observed.