Kansas State University

output

19932026

most citedThe Cosmological Constant and Dark Energy

5.2k citations

Showing 2009 · math-phShow all

5 papers · 2 filters

math-ph2009★ 13 cited

Uniqueness theorem for inverse scattering problem with non-overdetermined data

A. G. Ramm

Let $q (x)$ be real-valued compactly supported sufficiently smooth function, $q \in H_{0}^{ℓ} (B_{a})$ , $B_{a} := {x : ∣ x ∣ \leq a, x \in R^{3}$ . It is proved that the scattering data $A(-β,β,k)…

math-ph2009★ 12 cited

Creating materials with a desired refraction coefficient

A. G. Ramm

A method is given for creating material with a desired refraction coefficient. The method consists of embedding into a material with known refraction coefficient many small particl…

math-ph2009★ 2 cited

A method for creating materials with a desired refraction coefficient

A. G. Ramm

It is proposed to create materials with a desired refraction coefficient in a bounded domain $D \subset R^{3}$ by embedding many small balls with constant refraction coefficients int…

math-ph2009★ 13 cited

Creating desired potentials by embedding small inhomogeneities

A. G. Ramm

The governing equation is $[\nabla^{2} + k^{2} - q (x)] u = 0$ in $R^{3}$ . It is shown that any desired potential $q (x)$ , vanishing outside a bounded domain $D$ , can be obtained if one embeds i…

math-ph2009

A Complete Basis for a Perturbation Expansion of the General N-Body Problem

W. Blake Laing, David W. Kelle, Martin Dunn +1

We discuss a basis set developed to calculate perturbation coefficients in an expansion of the general N-body problem. This basis has two advantages. First, the basis is complete o…