K. Jost, M. Langenstein, Prof. Y. Gogotsi A. J. Drexel Nanomaterials Institute and the Materials Science and Engineering Department Drexel University Philadelphia , PA , USA E-mail: [email protected] K. Jost, Prof. G. Dion Shima Seiki Haute Technology Laboratory at the ExCITe Center, and the Antoinette Westphal College of Media Arts and Design Drexel University Philadelphia , PA , USA E-mail: ...

We propose a procedure based on phase equivalent chains of Darboux transformations to generate local potentials satisfying the radial Schrödinger equation and sharing the same scattering data. For potentials related by a chain of transformations an analytic expression is derived for the Jost function. It is shown how the same system of S-matrix poles can be differently distributed between poles...

Spectral properties of a coupled N × N potential model obtained with the help of a single non-conservative supersymmetric (SUSY) transformation starting from a system of N radial Schrödinger equations with the zero potential and finite threshold differences between the channels are studied. The structure of the system of polynomial equations which determine the zeros of the Jost-matrix determin...

1. Dursun M, Agayev A, Nisli K, et al. MR imaging features of ventricular noncompaction: emphasis on distribution and pattern of fibrosis. Eur J Radiol 2010;74:147–51. 2. Dodd JD, Holmvang G, Hoffmann U, et al. Quantification of left ventricular noncompaction and trabecular delayed hyperenhancement with cardiac MRI: correlation with clinical severity. AJR Am J Roentgenol 2007;189:974–80. 3. Faz...

One of the most celebrated theorems of differential geometry is the 1929 theorem of Lusternik and Schnirelmann, which states that for every riemannian metric on the 2-sphere there exist at least three simple closed geodesies. Jurgen Jost [J] (following important work of Pitts [P] and Simon and Smith [SS]) has recently generalized this result by showing that for every riemannian metric on S, the...

In [9] and [10], we have studied the initial value problem for the Korteweg-de Vries (KdV) equation (1.1) ut—6uu x +u xxx =0 by the inverse scattering method. In this paper we study the asymptotic behavior of the solutions as t— >zh°°-Consider the Schrodinger equation (1.2) over (— oo } oo) with the potential u(x) satisfying (1.3) (throughout the paper integration is taken over (— oo, oo) unles...

It is shown how to study the 2-D Toda system for SU(n+1) using Nevanlinna theory of meromorphic functions and holomorphic curves. The results generalize recent results of Jost – Wang and Chen – Li. We consider the 2-dimensional open Toda system for SU(n + 1): − 2 ∆uj = −ej−1 + 2ej − ej+1, 1 ≤ j ≤ n, u0 = un+1 = 0, (1) where uj are smooth functions in the complex plane C, and n is a positive int...

Attention! This is a special internet edition of the article " Digitization of Tocharian Manuscripts from the Berlin Turfan Collection " by Jost Gippert (1998). It should not be quoted as such. For quotations, please refer to the original edition in