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 …

A conceptual framework extending (time-independent) PT-symmetric quantum mechanics
into the time-dependent domain is presented. It is built upon a nontrivial time-dependent …

In a consistent quantum theory known as “non-Hermitian interaction picture”(NIP), the
standard quantum Coriolis operator Σ (t) emerges whenever the observables of a unitary …

We associate the stationary harmonic oscillator with time-dependent systems exhibiting non-
Hermiticity by means of point transformations. The new systems are exactly solvable, with all …

Measurement-based quantum thermal machines are fascinating models of thermodynamic
cycles where measurement protocols play an important role in the performance and …

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 …

We study the time evolution of quantum systems with a time-dependent non-Hermitian
Hamiltonian exhibiting a SU (1, 1) and SU (2) dynamical symmetry. With a time-dependent …

The time-evolution operator obtained from the fractional-time Schrödinger equation (FTSE)
is said to be nonunitary since it does not preserve the norm of the vector state in time. As …

In the framework of quantum mechanics using quasi-Hermitian operators the standard
unitary evolution of a non-stationary but still closed quantum system is only properly …