We report Floquet band engineering of long-range transport and direct imaging of Floquet-
Bloch bands in an amplitude-modulated optical lattice. In one variety of Floquet-Bloch bands …

The description of dynamics for high-energy particles requires an application of the special
relativity theory framework, and analysis of properties of the corresponding equations of …

Relativistic Hamiltonian systems of n degrees of freedom in static curved spaces are
considered. The source of space-time curvature is a scalar potential V (q). In the limit of …

We study the relativistic harmonic oscillators (Dirac and Klein–Gordon ones) in a constant
external electric field. The solutions obtained are exact. These solutions allowed us to focus …

There is a long tradition of studying chaotic trajectories in systems whose integrability is
broken by means of an external perturbation. Here we explore a different route to chaos, in …

In this paper, we formulate a relativistic generalization of noncentral force, and it is a
prototypical example of relativistic curl force. We study reductions of relativistic noncentral …

In this study, we investigate the thermal properties of the relativistic Klein-Gordon oscillator
with non-minimal coupling in one, two, and three dimensions within the framework of …

In this present communication, the relativistic formulation of the curl forces with saddle
potentials has been performed. In particular, we formulated the relativistic version of the …

The theory of a unidimensional relativistic oscillator is developed assuming a frame of
reference fixed to the oscillator. This approach is at variance with conventional consideration …

The harmonic oscillator is an essential tool, widely used in all branches of Physics in order
to understand more realistic systems, from classical to quantum and relativistic regimes. We …