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PT symmetric complex potential V(r) = - r^4 + i a r^3 + b r^2 + i c r + i d/r+ e/r^2 is studied. Arbitrarily large multiplets of its closed bound-statesolutions with real energies are shown obtainable quasi-exactly (i.e., with acertain relationship between their charges and energies) from a singleunderlying finite-dimensional secular equation.Comment: 13 pages, 1 figure, submitted to J. Phys. A: Math. Ge

Quasi-exactly solvable quartic potentials with centrifugal and Coulombic terms