Leveraging operator techniques, we address the paraxial wave equation governing a field
formed by the multiplication of a Gaussian function and an entire function; notably, the latter …

In this work, we give a quantitative answer to the question: how sudden or how adiabatic is a
frequency change in a quantum harmonic oscillator (HO)? We do that by studying the time …

We study the effect of Milburn intrinsic decoherence in a system of ultra-strongly coupled
quantum harmonic oscillators, putting emphasis on the virtual excitations of the ground state …

We study the time evolution of an ideal system composed of two harmonic oscillators
coupled through a quadratic Hamiltonian with arbitrary interaction strength. We solve its …

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

Using operator ordering techniques based on Baker-Campbell-Hausdorff (BCH) relations of
the su (1, 1) Lie algebra and a time-splitting approach, we present an alternative method of …

The time evolution of a quantum particle's product of uncertainties in position and
momentum is calculated when it is coupled with an external source. We have used a simple …

In this work we study the validity of the rotating wave approximation of an ideal system
composed of two harmonic oscillators evolving with a quadratic Hamiltonian and arbitrarily …

Using the Wei-Norman theory, we obtain a time-dependent complex Riccati equation
(TDCRE) as the solution of the time evolution operator (TEO) of quantum systems described …

Introducing a Kerr medium in a cavity coupled to a harmonically moving mirror, we
reproduce known and solvable interactions such as two-coupled harmonic oscillators and …