The Kratzer plus polynomial potentials

V(r) = A r^4 + B r^3 + C r^2 + D r + F/r + G/r^2

and the new nonlinear perturbation theory

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• Starting point: The Magyari's algebraization of the Schrödinger equation

• The first result: Exact solvability in the strong-coupling regime (G >> 1)

• The second result: The feasibility of perturbation expansions using a triple-series Ansatz

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• Full text is to be published in J. Math. Chem.