In the framework of Lagrangian formulation, some q-deformed physical systems are considered. The q-deformed Legendre transformation is obtained for the free motion of a non-relativistic particle on a quantum line. This is subsequently exploited to obtain the Lagrangians for the q-deformed harmonic oscillator and q-deformed relativistic free particle. The Euler-Lagrange equations of motion are d...

The star product technique translates the framework of local fields on noncommutative space–time into nonlocal fields on standard space– time. We consider the example of fields on κ– deformed Minkowski space, transforming under κ–deformed Poincaré group with noncommutative parameters. By extending the star product to the tensor product of functions on κ–deformed Minkowski space and κ-deformed P...

A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by defining q-deformed ladder operators. We show these new ladder operators satisfy new q-deformed commutation relations. In this context we construct an alternative q-deformed model that preserve the shapeinvariance property presented by primary system. q-deformed generalizations of Morse, Scarf, and ...

We study a deformed su(m|n) algebra on a quantum superspace. Some interesting aspects of the deformed algebra are shown. As an application of the deformed algebra we construct a deformed superconformal algebra. From the deformed su(1|4) algebra, we derive deformed Lorentz, translation of Minkowski space, iso(2, 2) and its supersymmetric algebras as closed subalgebras with consistent automorphis...

In the framework of the q-deformed Heisenberg algebra the investigation of qdeformation of Virial theorem explores that q-deformed quantum mechanics possesses better dynamical property. It is clarified that in the case of the zero potential the theoretical framework for the q-deformed Virial theorem is self-consistent. In the selfadjoint states the q-deformed uncertainty relation essentially de...

the study of nucleation mechanism of new grains during severe plastic deformation of magnesium alloys is of great importance to control the characteristics of final microstructures.  to investigate the role of discontinuous recrystallization, a wrought az31 magnesium alloy was deformed by accumulative back extrusion process at 330 °c.  the obtained microstructures were studied using optical and...

Reinforcement corrosion causes destruction to the steel by a loss in cross section and rib height, which can affect bond between concrete. During repair of corrosion-damaged reinforced concrete members, protective coating is usually applied cleaned corroded steel. There is, however, little information available on performance coatings. Furthermore, effect their thickness other parameters like r...