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The N-radial Schr\"odinger equation is analytically solved by using SUSYQMmethod, in which the heavy quarkonia potential is introduced at finitetemperature and baryon chemical potential. The energy eigenvalue is calculatedin the N-dimensional space. The obtained results show that the binding energystrongly decreases with increasing temperature and is slightly sensitive forchanging baryon chemical potential up to 0.6 GeV at higher values oftemperatures. We employed the nonperturbative corrections to the leading-orderof the Debye mass at finite baryon chemical potential. We found that thebinding energy is more dissociates when the nonperturbative corrections areincluded with the leading-order term of Debye mass in both hot and dense media.A comparison is discussed with other works such as the lattice parameterized ofDebye mas. Thus, the present potential with the SUSYQM method providessatisfying results for the description of the dissociation of binding energyfor heavy quarkonia in hot and dense media.

Analytic Solution of Multi-Dimensional Schrodinger in Hot and Dense QCD Media Using SUSYQM Method