2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141085We show that the consequences of an introduction of a manifest time-dependence in a pseudo-Hermitian Hamiltonian H=H(t) are by far less drastic than suggested by A. Mostafazadeh in Phys. Lett. B 650 (2007) 208 (arXiv:0706.1872v2 [quant-ph]). In particular, the unitarity of the evolution does not necessitate the time-independence of the metric $η_+=η_+(t)$.10 ppQuantum PhysicsTime-dependent quasi-Hermitian Hamiltonians and the unitarity of quantum evolutiontext