Ali Mostafazadeh is one of the world leading specialists in
quantum pseudo-Hermitian Hamiltonians. His new text pays attention
to the time-dependent evolution controlled by these operators. For
a general time-dependent Hamiltonian he reveals the surprising
existence of additional necessary and sufficient conditions for
the unitarity of the related evolution problem. In particular, for
all the two-level Hamiltonians he constructs the general form of
these conditions which are shown, in their essence, geometrical.
Marginally he addresses also the problem of the uniqueness of the
metric operator.


MR2314230 Mostafazadeh, Ali Time-dependent pseudo-Hermitian
Hamiltonians defining a unitary quantum system and uniqueness of
the metric operator. Phys. Lett. B 650 (2007), no. 2-3, 208--212.
81Q10 (81U15)