Polarizability of a metallic nanosphere: Local random-phase approximation (LRPA)

Random approximation of a general symmetric equation

In this paper, we prove the Hyers-Ulam stability of the symmetric functionalequation $f(ph_1(x,y))=ph_2(f(x), f(y))$ in random normed spaces. As a consequence, weobtain some random stability results in the sense of Hyers-Ulam-Rassias.

Frequency dependent polarizability of small metallic grains.

We study the dynamic electronic polarizability of a single nano-scale spherical metallic grain using a quantum mechanical approach. We introduce the model for interacting electrons bound in the grain allowing us numerically to calculate the frequency dependence of the polarizability of grains of different sizes. We show that within this model the main resonance peak corresponding to the surface...

Plasmon-Polariton Properties in Metallic Nanosphere Chains

The propagation of collective wave type plasmonic excitations along infinite chains of metallic nanospheres has been analyzed, including near-, medium- and far-field contributions to the plasmon dipole interaction with all retardation effects taken into account. It is proven that there exist weakly-damped self-modes of plasmon-polaritons in the chain for which the propagation range is limited b...

random approximation of a general symmetric equation

in this paper, we prove the hyers-ulam stability of the symmetric functionalequation $f(ph_1(x,y))=ph_2(f(x), f(y))$ in random normed spaces. as a consequence, weobtain some random stability results in the sense of hyers-ulam-rassias.

Extending the random-phase approximation for electronic correlation energies: the renormalized adiabatic local density approximation