119 citations
- Aarhus UniversityDK1 paper
- Bar-Ilan UniversityIL1 paper
- Ben-Gurion University of the NegevIL1 paper
- Cornell UniversityUS1 paper
- Institute for Design Problems in MicroelectronicsRU1 paper
- Institute of MagnetismUA1 paper
- Institute of MicroelectronicsCN1 paper
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- Taras Shevchenko National University of KyivUA1 paper
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8 papers · 1 filter
Amplitudes for magnon scattering by vortices in two-dimensional weakly easy-plane ferromagnets
Denis D. Sheka, Ivan A. Yastremsky, Boris A. Ivanov +2
We study magnon modes in the presence of a vortex in a circular easy-plane ferromagnet. The problem of vortex-magnon scattering is investigated for partial modes with different val…
One-dimensional inverse scattering and spectral problems
Alexander G. Ramm
Inverse scattering and spectral one-dimensional problems are discussed systematically in a self-contained way. Many novel results, due to the author are presented. The classical re…
Measurable Categories and 2-Groups
L. Crane, D. N. Yetter
Using the theory of measurable categories developped by Yetter in work in preparation, we provide a notion of representations of 2-groups more well-suited to physically and geometr…
On the discrepancy principle
A. G. Ramm
A simple proof of the convergence of the variational regularization, with the regularization parameter, chosen by the discrepancy principle, is given for linear operators under sui…
A characterization of unbounded Fredholm operators
A. G. Ramm
This paper is a continuation of the paper (A.G.Ramm, Amer. Math. Monthly, 108, N 9, (2001), 855-860), where bounded Fredholm operators are studied. The theory of bounded linear Fre…
Inequalities for the transformation operators and applications
A. G. Ramm
Inequalities for the transformation operator kernel in terms of -function are given, and vice versa. These inequalities are applied to inverse scattering on half-line.…