In the case of electromagnetic waves it is necessary to distinguish between inward and outward on-shell integral equations. Both kinds of equation are derived. A correct implementation of the photonic KKR method then requires the inward equations and it follows directly from them. A derivation of the KKR method from a variational principle is also outlined. Rather surprisingly, the variational ...

The Kerov–Kirillov–Reshetikhin (KKR) bijection gives one to one correspondences between the set of highest paths and the set of rigged configurations. In this paper, we give a crystal theoretic reformulation of the KKR map from the paths to rigged configurations, using the combinatorial R and energy functions. It makes the large scale structure of the combinatorial procedure of the KKR bijectio...

In contrast to its original version that deals with the band structure of periodically ordered solids more or less like any other all-electron band structure method, the modern version of the KKR (Korringa-Kohn-Rostoker) method represents the electronic structure of a system directly and efficiently in terms of its single-particle Green’s function (GF). This appealing feature and the wide appli...

The Korringa-Kohn-Rostoker (KKR) Green's function, multiple-scattering theory is an efficient site-centered, electronic-structure technique for addressing an assembly of N scatterers. Wave functions are expanded in a spherical-wave basis on each scattering center and indexed up to a maximum orbital and azimuthal number Lmax=(l,m)max, while scattering matrices, which determine spectral propertie...

Nonparametric inference techniques provide promising tools for probabilistic reasoning in high-dimensional nonlinear systems. Most of these techniques embed distributions into reproducing kernel Hilbert spaces (RKHS) and rely on the kernel Bayes’ rule (KBR) to manipulate the embeddings. However, the computational demands of the KBR scale poorly with the number of samples and the KBR often suffe...

Multiple-Scattering Theory Beyond The MutTm-Tin Approximation J. Molenaar Mathematics Consulting Department Katholieke Universiteit Toernooiveld 6525 ED Nijmegen We present a new derivation of multiple-scattering theory as applied in solid state physics. The present approach is a generalization of the well-known Korringa, Kohn and Rostoker (KKR) formalism and holds also in the case of overlappi...

We present a deep Giant Metrewave Radio Telescope (GMRT) search for HI 21 cm emission from three dwarf galaxies, viz. POX 186, SC 24 and KKR 25. Based, in part, on previous single dish HI observations, these galaxies have been classified as a BCD, a dwarf irregular and a transition galaxy respectively. However, in conflict with previous single dish detections, we do not detect HI in SC 24 or KK...

In proving the Fermionic formulae, combinatorial bijection called the KerovKirillov-Reshetikhin bijection plays the central rôle. In this paper, we give a proof of crystal interpretation of the KKR bijection. It is the main claim of Part I written by A. Kuniba, M. Okado, T. Takagi, Y. Yamada and the author. The proof is given by introducing a structure of affine combinatorial R matrices on rigg...

In proving the Fermionic formulae, a combinatorial bijection called the Kerov–Kirillov–Reshetikhin (KKR) bijection plays the central role. It is a bijection between the set of highest paths and the set of rigged configurations. In this paper, we give a proof of crystal theoretic reformulation of the KKR bijection. It is the main claim of Part I written by A. Kuniba, M. Okado, T. Takagi, Y. Yama...

In this review we demonstrate that a recently developed full-potential KKR-Green's function method allows an eecient calculation of forces and lattice relaxations in transition metals. The forces can be readily evaluated by the ionic Hellmann-Feynman theorem, while the Green's functions for shifted positions can be obtained by angular momentum transformations. As applications we calculate the l...