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Few quantum mechanical models in higher dimension-framed with Elzaki transform

Very first time Elzaki transform is used in non relativistic quantum mechanics to solve $N$-dimensional Schrödinger equation in a closed form for different solvable potential models. A universal transformation scheme is introduced and a formula based approach is developed which shows how to apply Elzaki transform to differential equation with non-constant coefficients that generally appear in solving quantum mechanical initial value problems specially for multidimensional Schrödinger equation.