2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96530Potential algebras are extended from Hermitian to non-Hermitian Hamiltonians and shown to provide an elegant method for studying the transition from real to complex eigenvalues for a class of non-Hermitian Hamiltonians associated with the complex Lie algebra A$_1$.6 pages, LaTeX, communication to Group24 (Paris)Mathematical PhysicsHigh Energy Physics - TheoryQuantum PhysicsNon-Hermitian Hamiltonians with real and complex eigenvalues: An sl(2,C) approachtext