On the poles of the scattering matrix for two convex obstacles
Mitsuru Ikawa (1985)
Journées équations aux dérivées partielles
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Mitsuru Ikawa (1985)
Journées équations aux dérivées partielles
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Lech Zieliński (1999)
Colloquium Mathematicae
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We prove the asymptotic completeness of the quantum scattering for a Stark Hamiltonian with a time dependent interaction potential, created by N classical particles moving in a constant electric field.
Yafaev, D. (1998)
Documenta Mathematica
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Pl. Muthuramalingam (1984/85)
Mathematische Zeitschrift
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Tanya Christiansen, Mark S. Joshi (2000)
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We consider perturbations of a stratified medium , where the operator studied is . The function is a perturbation of , which is constant for sufficiently large and satisfies some other conditions. Under certain restrictions on the perturbation , we give results on the Fourier integral operator structure of the scattering matrix. Moreover, we show that we can recover the asymptotic expansion at infinity of from knowledge of and the singularities of the scattering matrix at...
Vesselin M. Petkov, Luchezar N. Stoyanov (1987)
Journées équations aux dérivées partielles
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Dimitri R. Yafaev (1992)
Journées équations aux dérivées partielles
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A. Martin (1974)
Recherche Coopérative sur Programme n°25
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V. Chiadò Piat, M. Codegone (2003)
RACSAM
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In this paper, we consider a family of scattering problems in perforated unbounded domains Ω. We assume that the perforation is contained in a bounded region and that the holes have a ?critical? size. We study the asymptotic behaviour of the outgoing solutions of the steady-state scattering problem and we prove that an extra term appears in the limit equation. Finally, we obtain convergence results for scattering frequencies and solutions.
D. R. Yafaev (1988-1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Mitsuru Ikawa (1991-1992)
Séminaire Équations aux dérivées partielles (Polytechnique)
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