To provide a physical example of quantum scars, we study the many-body scars in spin-1 Kitaev chain where so-called PXP Hamiltonian is exactly embedded spectra. Regarding conserved quantities, Hilbert space fragmented into disconnected subspaces and explore associated constrained dynamics. The continuous revivals fidelity entanglement entropy when initial state prepared $\vert\mathbb{Z}_k\rangl...

Magnetic fields play essential roles in protoplanetary disks. the disk atmosphere are of particular interest, as they connected to wind-launching mechanism. In this work, we study polarization light scattered off magnetically aligned grains atmosphere, focusing on deviation orientation from canonical azimuthal direction, which may be detectable near-IR polarimetry with instruments such VLT/SPHE...

The current study investigates the dissipation kinetics of two imidacloprid (IMI) nanoformulations (entitled: Nano-IMI and Nano-IMI/TiO2) on common bean (Phaseolus vulgaris) seeds under field conditions and compares them with 35% Suspension Concentrate (SC) commercial formulation. To do so, it sprays P. vulgaris plants at 30 and 60 g/ha within green bean stage, sampling them during the 14-day p...

CONTRACTIBLE n-MANIFOLDS AND THE DOUBLE n-SPACE PROPERTY

For the open unit disc $\mathbb{D}$ in complex plane, it is well known that if $\phi \in C(\overline{\mathbb{D}})$ then its Berezin transform $\widetilde{\phi}$ also belongs to $C(\overline{\mathbb{D}})$. We say BC-regular. In this paper we study BC-regularity of some pseudoconvex domains $\mathbb{C}^n$ and show boundary geometry plays an important role. establish a relationship between essenti...

‎In this paper‎, ‎first we study the weak and strong convergence of solutions to the‎ ‎following first order nonhomogeneous gradient system‎ ‎$$begin{cases}-x'(t)=nablaphi(x(t))+f(t), text{a.e. on} (0,infty)\‎‎x(0)=x_0in Hend{cases}$$ to a critical point of $phi$‎, ‎where‎ ‎$phi$ is a $C^1$ quasi-convex function on a real Hilbert space‎ ‎$H$ with ${rm Argmin}phineqvarnothing$ and $fin L^1(0...

We show that a space with a finite asymptotic dimension is embeddable in a non-positively curved manifold. Then we prove that if a uniformly contractible manifold X is uniformly embeddable in Rn or non-positively curved n-dimensional simply connected manifold then X × Rn is integrally hyperspherical. If a uniformly contractible manifold X of bounded geometry is uniformly embeddable into a Hilbe...

Perfect information games have a particularly simple structure of equilibria in the associated normal form. For generic such games each of the finitely many connected components of Nash equilibria is contractible. For every perfect information game there is a unique connected and contractible component of subgame perfect equilibria. Finally, the graph of the subgame perfect equilibrium correspo...

Open forms of global constraints allow the addition of new variables to an argument during the execution of a constraint program. Such forms are needed for difficult constraint programming problems where problem construction and problem solving are interleaved. However, in general, filtering that is sound for a global constraint can be unsound when the constraint is open. This paper provides a ...

Let X be a smooth, complete toric variety. Let A1(X) be the group of algebraic 1-cycles on X modulo numerical equivalence and N1(X) = A1(X) ⊗Z Q . Consider in N1(X) the cone NE(X) generated by classes of curves on X. It is a well-known result due to M. Reid [11] that NE(X) is closed, polyhedral and generated by classes of invariant curves on X. The variety X is projective if and only if NE(X) i...