Regularized One Dimensional Coulomb Potential Induced by the Presence of   Minimal Lengths
  In this paper we address the problem of a particle moving in singular one dimensional potentials in the framework of quantum mechanics with minimal length. Using the momentum space representation we solve exactly the Schrodinger equation for the Dirac delta potential and Coulomb potential. The effect of the minimal length is revealed by a computation of effective generalized Dirac delta potential and Coulomb potential. 
Khireddine Nouicer