  In 1956, Freeman Dyson discovered that the practical solution of
Schr\"{o}dinger equation may be facilitated when one replaces the standard
self-adjoint Hamiltonian $\mathfrak{h}=\mathfrak{h}^\dagger$ by its manifestly
non-Hermitian isospectral avatar $H =\Omega^{-1} \mathfrak{h} \Omega$ with
$\Omega^\dagger\Omega=\Theta \neq I$. The standard unitary interpretation of
the evolution can be then achieved either by the ``operator transformation''
(OT) reconstruction of $\mathfrak{h}$, or via a metric-amendment (MA) change of
the Hilbert space, ${\cal H}_{auxiliary}\to {\cal H}_{physical}$. In our
present letter we describe an alternative Hermitization of a ``hybrid form''
(HF) which simply combines the OT model-building strategy with the MA
model-building strategy. The merits of the approach are illustrated using a
schematic two-state quantum system.
