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 …

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 …

The supersymmetric connection that exists between the Jaynes-Cummings (JC) and anti-
Jaynes Cummings (AJC) models in quantum optics is unraveled entirely. A new method is …

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 …

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 …

We construct a time-dependent double well potential as an exact spectral equivalent to the
explicitly time-dependent negative quartic oscillator with a time-dependent mass term …

The Darboux method is commonly used in the coordinate variable to produce new exactly
solvable (stationary) potentials in quantum mechanics. In this work we follow a variation …

C-operators were introduced as involution operators in non-Hermitian theories that commute
with the time-independent Hamiltonians and the parity/time-reversal operator. Here we …

We propose and explore a scheme that leads to an infinite series of time-dependent Dyson
maps which associate different Hermitian Hamiltonians to a uniquely specified time …

We present a coherent and consistent framework for explicit time-dependence in non-
Hermitian quantum mechanics. The area of non-Hermitian quantum mechanics has been …