Generation of dual and self-dual quantum mechanical potential systems

Extended transformation method is applied to find dual and self -dual potentials for a general quantum mechanical multiterm potential. Exact bound state solutions of the Schrödinger equation for a specific multiterm potentials are obtained in any chosen dimensional space, using extended transformation (ET) method which may find applications in atomic, molecular, nuclear and particle Physics. We have found for multiterm power law potentials, under the framework of ET that a family relationship emerges among the parent and the newly generated exactly solvable potentials (ESPs). The normalizability of bound state solutions of the generated quantum systems is also discussed.Extended transformation method is applied to find dual and self -dual potentials for a general quantum mechanical multiterm potential. Exact bound state solutions of the Schrödinger equation for a specific multiterm potentials are obtained in any chosen dimensional space, using extended transformation (ET) method which may find applications in atomic, molecular, nuclear and particle Physics. We have found for multiterm power law potentials, under the framework of ET that a family relationship emerges among the parent and the newly generated exactly solvable potentials (ESPs). The normalizability of bound state solutions of the generated quantum systems is also discussed