This article is cited in 7 papers

Resonance scattering in quantum wave guides

A. A. Arsen'ev

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: The interaction of a quantum wave guide with a resonator is studied within the frame of the Birman–Kato scattering theory. The existence of poles of the scattering matrix is proved and the jump of the scattering amplitude near a resonance is calculated.

UDC: 517.958+621.372.8

MSC: Primary 35P25; Secondary 35Q40, 47N50, 81U99

Received: 03.04.2002

DOI: 10.4213/sm703

 English version: Sbornik: Mathematics, 2003, 194:1, 1–19

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