Non-Hermitian Kimono quantum-Hamiltonian-candidate combination H λ of a non-Hermitian unperturbed operator H = H 0 with an arbitrary “small” non-Hermitian perturbation λ W is given a mathematically consistent unitary-evolution interpretation.The formalism generalizes the conventional constructive Rayleigh−Schrödinger perturbation expansion technique.It is sufficiently general to take into account MAG OROTATE the well known formal ambiguity of reconstruction of the correct physical Hilbert space of states.
The possibility of removal of the ambiguity via a complete, irreducible set of observables is also discussed.