In time-independent quantum systems, entanglement entropy possesses an inherent scaling
symmetry that the energy of the system does not have. The symmetry also assures that …

We consider theinverted harmonic potential and present infinitely degenerate non-stationary
orthogonal states. We discuss that a non-interacting gas under the inverted harmonic …

While quantum-classical correspondence for a system is a very fundamental problem in
modern physics, the understanding of its mechanism is often elusive, so the methods used …

In this work, we study the time-dependent behaviour of quantum correlations of a system of
an inverted oscillator governed by out-of-equilibrium dynamics using the well-known …

The time dependent variational principle (TDVP) has been applied on coherent state orbits
and the Hamilton equations of motion on Kähler (symplectic) manifolds result. The classical …

We use the invariant operator method to investigate the quantum characteristics of the
inverted oscillator. We introduce a unitary transformation that maps a time-dependent …

A Gaussian wave packet of the inverted oscillator is investigated using the invariant operator
method together with the unitary transformation method. A simple wave packet directly …

We have obtained explicit analytical formulas for the mean energy and its variance
(characterizing the energy fluctuations) of a quantum harmonic oscillator with time …

We introduce a new self-accelerating wave packet solution of the Schrodinger equation in
one dimension. We obtain an exact analytical parabolic cylinder wave for the inverted …

We approximate the two‐body spinless Salpeter equation with the one which is valid in
heavy quarks limit. We consider the resulting semirelativistic equation in a time‐dependent …