2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/90276An unusual type of the exact solvability is reported. It is exemplified by the Coulomb plus harmonic oscillator in D dimensions after a complexification of its Hamiltonian which keeps the energies real. Infinitely many bound states are found in closed form which generalizes the even-parity harmonic-oscillator states at zero charge. Apparently, the model is halfway between exact and quasi-exact.17 pages incl. 2 tablesQuantum Physicstext