In this paper, the Lewis-Riesenfeld invariant theory is generalized for the study of systems
with non-Hermitian time-dependent Hamiltonians. Explicitly time-dependent pseudo …

We demonstrate that complex point transformations can be used to construct non-Hermitian
first integrals, time-dependent Dyson maps and metric operators for non-Hermitian quantum …

A non-Hermitian operator may serve as the Hamiltonian for a unitary quantum system, if we
can modify the Hilbert space of state vectors of the system so that it turns into a Hermitian …

The textbook interaction-picture formulation of quantum mechanics is extended to cover the
unitarily evolving systems in which the Hermiticity of the observables is guaranteed via an …

I will provide a pedagogical introduction to non-Hermitian quantum systems that are PT-
symmetric, that is they are left invariant under a simultaneous parity transformation (P) and …

We demonstrate that non-Hermitian Hamiltonian systems with spontaneously broken PT-
symmetry and partially complex eigenvalue spectrum can be made meaningful in a quantum …

We find a different effect for the behavior of von Neumann entropy. For this we derive the
framework for describing von Neumann entropy in non-Hermitian quantum systems and …

We investigate the dynamics of a general two-level based anti-parity-time (anti-PT)-
symmetric qubit and study its decoherence as well as entanglement entropy properties. We …

In the broader methodical framework of the quantization of gravity, the crypto-Hermitian (or
non-Hermitian) version of Dirac's interaction picture is considered. The formalism is briefly …

To the existing list of alternative formulations of quantum mechanics, a new version of the
non-Hermitian interaction picture is added. What is new is that, in contrast to the more …