2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57965The characteristic anti-linear (parity/time reversal, PT) symmetry of non-Hermitian Hamiltonians with real energies is presented as a source of two new forms of solvability of Schrödinger's bound-state problems. In detail we describe (1) their very specific semi-exact solvability (SES) and (2) their innovated variational tractability. SES technicalities are discussed via charged oscillator example. In a broader context, speculations are added concerning possible relationship between PT symmetry, solvability and superintegrability.Workshop on Superintegrability in Classical and Quantum Systems, September 16-21, 2002, CRM Montreal, Canada, invited talk. 15 ppMathematical Physics81Q05; 34M25; 35Q40; 46C20text