%0 Journal Article %T The dynamical problem for a non self-adjoint Hamiltonian %A Fabio Bagarello %A Miloslav Znojil %J Mathematics %D 2011 %I arXiv %X We review some recent results of the so-called quasi-hermitian quantum mechanics, with particular focus on the quantum dynamics both in the Schr\"odinger and in the Heisenberg representations. The role of Krein spaces is also discussed. %U http://arxiv.org/abs/1105.4716v1