Exact solution to Fick-Jacobs equation
  A relation between Fick-Jacobs and Schr\"{o}dinger equation is shown. When the diffusion coefficient is constant, exact solutions for Fick-Jacobs equation are obtained. Using a change of variable the general case is studied. 
Juan M. Romero, O. Gonz\'alez-Gaxiola, G. Chac\'on-Acosta
math-ph cond-mat.stat-mech hep-th math.MP