There have been studies on formation of quantum-nonlocal states in spatially separate two cavities. We suggest a nonlocal test for the field prepared in the two cavities. We couple classical driving fields with the cavities where a nonlocal state is prepared. Two independent two-level atoms are then sent through respective cavities to interact off-resonantly with the cavity fields. The atomic s...

In this paper we design high-order local artificial boundary conditions and present error bounds for the finite element approximation of an incompressible elastic material in an unbounded domain. The finite element approximation is formulated in a bounded computational domain using a nonlocal approximate artificial boundary condition or a local one. In fact there are a family of nonlocal approx...

In this paper a fifth-order numerical scheme is developed and implemented for the solution of the homogeneous heat equation ut = αuxx with a nonlocal boundary condition as well as for the inhomogeneous heat equation ut = uxx+s(x, t) with a nonlocal boundary condition. The results obtained show that the numerical method based on the proposed technique is fifth-order accurate as well as L-accepta...

In this paper we present error estimates for the finite element approximation of linear elastic equations in an unbounded domain. The finite element approximation is formulated on a bounded computational domain using a nonlocal approximate artificial boundary condition or a local one. In fact there are a family of nonlocal approximate boundary conditions with increasing accuracy (and computatio...

Recent studies have established certain specific results concerning the optical reciprocity of source and observer in the presence of dielectric medium with nonlocal response (i.e. spatial dispersion). These include the case of a linear dielectric response with dependence on the electric field gradient; as well as the case of a general anisotropic nonlocal medium in the long wavelength quasista...

We propose here a motivation for mixed local/nonlocal problem with new type of Neumann condition.

In this paper we study a nonlocal equation that takes into account convective and diffusive effects, ut = J ∗u−u+G ∗ (f(u))− f(u) in R, with J radially symmetric and G not necessarily symmetric. First, we prove existence, uniqueness and continuous dependence with respect to the initial condition of solutions. This problem is the nonlocal analogous to the usual local convection-diffusion equatio...

Keywords: Analytic semigroup Banach fixed point theorem Caputo derivative Faedo–Galerkin approximations Nonlocal conditions Neutral fractional differential equation a b s t r a c t This paper is concerned with the approximation of the solution for neutral fractional differential equation with nonlocal conditions in an arbitrary separable Hilbert space H. We study an associated integral equation...

Abstract We study the observability properties of a nonlinear parabolic system that models the temperature evolution of a thermoelastic rod that may come into contact with a rigid obstacle. Basically the system dynamics are described by a one-dimensional nonlocal partial differential equation of parabolic type with a nonlinear and nonlocal boundary condition. For a specified nonlocal observatio...

Bell's inequality is established based on local realism. The violation of Bell's inequality by quantum mechanics implies either locality or realism or both are untenable. Leggett's inequality is derived based on nonlocal realism. The violation of Leggett's inequality implies that quantum mechanics is neither local realistic nor nonlocal realistic. The incompatibility of nonlocal realism and qua...