In this paper we consider the inverse scattering problem at a fixed energy for the Schrödinger equation with a long-range potential in R, d ≥ 3. We prove that the long-range part can be uniquely reconstructed from the leading forward singularity of the scattering amplitude at some positive energy.

We consider the energy level statistics of non-interacting electrons which diffuse in a d-dimensional disordered metallic conductor of characteristic Thouless energy Ec. We assume that the level distribution can be written as the Gibbs distribution of a classical one-dimensional gas of fictitious particles with a pairwise additive interaction potential f(ε). We show that the interaction which i...

An accurate determination of the electron correlation energy is an essential prerequisite for describing the structure, stability, and function in a wide variety of systems. Therefore, the development of efficient approaches for the calculation of the correlation energy (and hence the dispersion energy as well) is essential and such methods can be coupled with many density-functional approximat...

We demonstrate plasmon-assisted energy transfer between fluorophores located at distances up to 7  μm on the top of a thin silver film. Thanks to the strong confinement and large propagation length of surface plasmon polaritons, the range of the energy transfer is almost 2 orders of magnitude larger than the values reported in the literature so far. The parameters driving the energy transfer ra...

LPWAN systems are important elements in IoT networks. They allow small amount of data to be efficiently transferred over long distances, reducing the number of gateways. Long range (or improved robustness) often comes at the cost of data rate, meaning that frames require more time and thus more energy to be sent or received. This increase in energy affects the ability of using cost-competitive ...

We discuss the long-range interactions that arise in homogeneous turbulence as a consequence of the Biot-Savart law. We note that, somewhat surprisingly, these long-range correlations are very weak in decaying, isotropic turbulence, and we argue that this should also be true for magnetohydrodynamic, rotating and stratified turbulence. If this is indeed the case, it is possible to make explicit ...

We discuss an efficient approach to the calculation of the internal energy in numerical simulations of spin systems with long-range interactions. Although, since the introduction of the Luijten-Blote algorithm, Monte Carlo simulations of these systems no longer pose a fundamental problem, the energy calculation is still an O(N2) problem for systems of size N. We show how this can be reduced to ...

This paper examines the emergence of periodic motion as consequence of evolutionary pressure for energy-efficient partially-passive dynamic brachiation. Brachiation was simulated for gibbon-like creatures in a realistic physics environment. The morphologies of the brachiators were identical to each other and consisted of a simple 3-bodied system two arms and a torso. Brachiator performance was ...