We prove that under rather general assumptions an exactly controllable problem is uniformly stabilizable with arbitrarily prescribed decay rates. Our approach is direct and constructive and avoids many of the technical difficulties associated with the usual methods based on Riccati equations. We give several applications for the wave equation and for Petrovsky systems.

The ability of unrestricted Hartree–Fock (UHF), Møller–Plesset (MP2), density functional theory (DFT), and hybrid density functional/Hartree–Fock methodologies to describe the structure and spin-state energetics of iron porphyrins was assessed. In the first place, these techniques have been applied to Fe, Fe+, Fe2+, and Fe3+ for which HF calculations overestimate energy gaps, favoring stabiliza...

in a typical solitonic distribution, the soliton density is distributed over the entire moleculeand the present work shows how its density can be decomposed into solitonic and antisolitoniccomponents. it is found that there exists a unique electron as soliton over the anionicnanoconductor, while there are many other solitons and antisolitons. the solitonic states are furtherdecomposed to the ca...

Interfacially asymmetric magnetic multilayers made of heavy metal/ferromagnet have attracted considerable attention in the spintronics community for accommodating spin-orbit torques (SOTs) and meanwhile hosting chiral spin textures. In these multilayers, accompanied interfacial Dzyaloshinskii–Moriya interaction (iDMI) permits formation Néel-type While significant progresses been Co, CoFeB, Co2F...

– We consider the stability of the superconducting phase for spin-triplet p-wave pairing in a quasi-two-dimensional system. We show that in the absence of spin-orbit coupling there is a chiral contribution to spin fluctuation feedback which is related to spin quantum Hall effect in a chiral superconducting phase. We show that this mechanism supports the stability of a chiral p-wave state. Coope...

in this paper we studied the thermal negativity in a two-qubit xx spin ½ chain model and xxx spin1/2 chain model(isotropic heisenberg model)spin-1/2 chain subjected to an external magnetic field inz direction. we calculate analytical relation for the thermal negativity for two qubit xx and xxx spinchain models in the external magnetic field. effects of the magnetic field and temperature on then...

We study the coherent spin-polarized transport through a zigzag-edge graphene flake (ZGF), using Hubbard model in the nearest neighbor approximation within the framework of the Green function’s technique and Landauer formalism. The system considered consists of electrode/ (ZGF)/electrode, in which the electrodes are chosen to be armchair nanoribbons. The study was performed for two types of ele...