{ "id": "0711.1078", "version": "v2", "published": "2007-11-07T13:08:27.000Z", "updated": "2007-11-08T08:58:05.000Z", "title": "Comment on \"Reply to Comment on Time-dependent Quasi-Hermitian Hamiltonians and the Unitary Quantum Evolution\"", "authors": [ "Ali Mostafazadeh" ], "comment": "3 pages", "categories": [ "quant-ph" ], "abstract": "I point out that if one defines the operator $U_R(t)$ as done by M. Znojil in his reply [arXiv:0711.0514v1] to my comment [arXiv:0711.0137v1] and also accepts the validity of the defining relation of $U_R(t)$ as given in his paper [arXiv:0710.5653v1], one finds that the time-evolution of the associated quantum system is not governed by the Schr\\\"odinger equation for the Hamiltonian operator $H$ but an operator $H'$ which differs from $H$ if the metric operator is time-dependent. In the latter case this effective Hamiltonian $H'$ is not observable. This is consistent with the conclusions of my paper [Phys. Lett. B 650, 208 (2007), arXiv:0706.1872v2] which allow for unitary time-evolution generated by unobservable Hamiltonians.", "revisions": [ { "version": "v2", "updated": "2007-11-08T08:58:05.000Z" } ], "analyses": { "keywords": [ "time-dependent quasi-hermitian hamiltonians", "unitary quantum evolution", "hamiltonian operator", "unitary time-evolution", "associated quantum system" ], "note": { "typesetting": "TeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0711.1078M" } } }