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Title: Resonance scattering in quantum wave guides

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.

Authors:
 [1]
  1. M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
21208287
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 194; Journal Issue: 1; Other Information: DOI: 10.1070/SM2003v194n01ABEH000703; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; INTERACTIONS; MATRICES; RESCATTERING; RESONANCE SCATTERING; RESONATORS; SCATTERING AMPLITUDES

Citation Formats

Arsen'ev, A A. Resonance scattering in quantum wave guides. United States: N. p., 2003. Web. doi:10.1070/SM2003V194N01ABEH000703; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Arsen'ev, A A. Resonance scattering in quantum wave guides. United States. doi:10.1070/SM2003V194N01ABEH000703; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Arsen'ev, A A. Fri . "Resonance scattering in quantum wave guides". United States. doi:10.1070/SM2003V194N01ABEH000703; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
@article{osti_21208287,
title = {Resonance scattering in quantum wave guides},
author = {Arsen'ev, A A},
abstractNote = {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.},
doi = {10.1070/SM2003V194N01ABEH000703; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)},
journal = {Sbornik. Mathematics},
number = 1,
volume = 194,
place = {United States},
year = {Fri Feb 28 00:00:00 EST 2003},
month = {Fri Feb 28 00:00:00 EST 2003}
}