Confining potential in momentum space

A method is presented for solution in momentum space of the bound state problem with linear potential in r-space. The potential is unbounded at large r leading to a singularity at small q. The singularity is integrable, when regulated by exponentially screening the r-space potential, and is removed by a subtraction technique. The limit of zero screening is taken analytically, and numerical solution of the subtracted integral equation gives eigenvalues and wavefunctions in good agreement with position space calculations. The method generalises easily to arbitrary power law potentials.