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Quasi-exactly solvable quartic potentials with centrifugal and Coulombic terms

Miloslav Znojil
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Abstract

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-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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Miloslav Znojil. 2000-03-04. Quasi-exactly solvable quartic potentials with centrifugal and Coulombic terms. https://doi.org/10.1088/0305-4470%2F33%2F22%2F320

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