Quarkonia in the deconfined phase: Effective potentials and lattice correlators

The Schr\"odinger equation for the charmonium and bottomonium states at finite temperature is solved by employing an effective temperature-dependent potential given by a linear combination of the color-singlet free and internal energies obtained on the lattice from the Polyakov loop correlation functions. The melting temperatures and other properties of the quarkonium states are evaluated. The consistency of the potential model approach with the available lattice data on the quarkonium temporal correlators and spectral functions is explored.