  Two damped, central force systems are investigated and equivalent, undamped
systems are obtained. The dynamics of a particle moving in $\frac{1}{r}$
potential and subjected to a damping force is shown to be regularized a la
Levi-Civita. This mapping is then elevated to the corresponding quantum
mechanical systems and using it, the energy spectrum of the former is
calculated. Mapping of a particle moving in a harmonic potential subjected to
damping to an undamped system is then derived using Bohlin-Sudman
transformation, for both classical and quantum regime.
