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Scattering Operators for Matrix Zakharov-Shabat Systems

✍ Scribed by Francesco Demontis; Cornelis van der Mee


Publisher
SP Birkhäuser Verlag Basel
Year
2008
Tongue
English
Weight
321 KB
Volume
62
Category
Article
ISSN
0378-620X

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The S-matrix for abstract scattering sys
✍ W. O. Amrein; D. B. Pearson 📂 Article 📅 1979 🏛 Springer 🌐 English ⚖ 154 KB

scattering system. We derive a bound, in terms of the interaction, on integrals of the form f h(X)IIS(X) --l II~s dX, where [I-liras denotes the Hilbert-Schmidt norm. There are various abstract methods in scattering theory for proving that the S-matrix S(X) is such that, at almost all energies X, R