Quantum dynamics of a Dirac particle in a 1D box with moving wall is studied. Dirac
equation with time-dependent boundary condition is mapped onto that with static one, but …

The extension of quantum theory to time-varying space domains is often challenging, since
domain evolution frequently results in non-autonomous and non-adiabatic evolution of …

In 1948, Schwinger developed a local Lorentz-covariant formulation of relativistic quantum
electrodynamics in space-time which is fundamentally inconsistent with any delocalized …

The dynamics of a particle in an expanding cavity is investigated in the Klein-Gordon
framework in a regime in which the single-particle picture remains valid. The cavity …

We numerically study a particle in a box with moving walls. In the case where the walls are
oscillating sinusoidally with a small amplitude, we show that states up to the fourth state can …

We derive approximate analytical solutions for a particle in a homogenous gravitational field
and confined between two independently vibrating mirrors. This constitutes an extension of …

We investigate the effect of time-dependent boundary conditions on the dynamics of a
quantum bouncer—a particle falling in a homogeneous gravitational field on a moving …

We investigate the dynamics of a particle in a confined periodic system—a time-dependent
oscillator confined by infinitely high and moving walls—and focus on the evolution of the …

The work continues systematic applications of the method developed by Di Martino and
Facchi (2015) for obtaining, for systems with variable boundary conditions, an equivalent …

We investigate finite systems of N paired fermions, common in atomic nuclei, for example.
These systems exhibit quantum mechanical features akin to those of superconductors. We …