Quantum motion control for packaging machines

In the present work, we give a description of a quantum motion controller to be used in automatic machines for an automated process, especially in packaging machines. The entanglement properties of the quantum systems are applied to have a perfect synchronization among the N slave axes. A detailed description of an architecture for a quantum motion controller is given. A quantum correction unit, included in the quantum motion control device and based on quantum inference, is also defined and described. The paper describes the characteristics of the robust control in the quantum correction unit. A comparison with traditional motion controllers is established showing the improved performances relative to the jitter compensation.

Linear Confinement of a Scalar Particle Under Linear Central Potential Induced by the Effects of Violation of Lorentz Symmetry framework

The relativistic quantum motion of a scalar particle under the effects of violation of the Lorentz symmetry in the presence of a linear confining potential is investigated. We see that the solution of the bound state to the modified Klein-Gordon equation can be obtained and a quantum effect characterized by the dependence of the magnetic field on the quantum numbers of the system is observed

Thermodynamic properties of the trigonometric Rosen–Morse potential and applications to a quantum gas of mesons

In this study, we work out thermodynamic functions for a quantum gas of mesons described as color-electric charge dipoles. They refer to a particular parametrization of the trigonometric Rosen–Morse potential which allows to transform it to a perturbation of free quantum motion on the three-dimensional hypersphere, [Formula: see text], a manifold that can host only charge-neutral systems, the charge dipoles being the configuration of the minimal number of constituents. To the amount charge neutrality manifests itself as an important aspect of the color confinement in the theory of strong interaction, the Quantum Chromodynamics, we expect our findings to be of interest to the evaluation of temperature phenomena in the physics of hadrons and in particular in a quantum gas of color charge dipoles as are the mesons. The results are illustrated for [Formula: see text] and [Formula: see text] mesons.

Quantum motion, coherent states and geometric phase of a generalized damped pendulum

In this work, we analyze the quantum dynamics of a generalized pendulum with a time-varying mass increasing exponentially and constant gravitation. By using Lewis–Riesenfeld invariant approach and Fock states, we solve the time-dependent Schrödinger equation for this system and write its solutions in terms of solutions of the Milne–Pinney equation. We also construct coherent states for the quantized pendulum and use both Fock and coherent states to investigate some important physical proprieties of the quantized pendulum such as eigenvalues of the angular displacement and momentum, their quantum variances as well as the respective uncertainty principle. Finally, we derive the geometric, dynamical and Berry phases for the time-dependent generalized pendulum.