Quasi-exactly solvable quartic potentials with centrifugal and Coulombic terms
Abstract
PT symmetric complex potential V(r) = - r4 + i a r3 + b r2 + i c r + i d/r + e/r2 is studied. Arbitrarily large multiplets of its closed bound-state solutions with real energies are shown obtainable quasi-exactly (i.e., with a certain relationship between their charges and energies) from a single underlying finite-dimensional secular equation.
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