2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56770An extension of the Stone's theorem to PT symmetric, extended quantum mechanics must employ its pseudo-norm. We show that the evolution of the wave functions is then pseudo-unitary, and emphasize that their pseudo-norm remains time-independent even in the spontaneously broken symmetry regime where the energies themselves cease to be real.13 pagesMathematical PhysicsAnalysis of PDEs35K90; 35Q40; 81S99; 81T10; 35P10; 46C20; 46N50Conservation of pseudo-norm in PT symmetric quantum mechanicstext