Example of resonance scattering for the one-dimensional wave equation

A. A. Arsen'ev

M. V. Lomonosov Moscow State University

Abstract: An example is presented of the one-dimensional wave equation such that the corresponding scattering problem is equivalent to quantum-mechanical scattering with trapping potential.

UDC: 517.95

MSC: Primary 34L25, 34L30; Secondary 81U99

Received: 19.03.1998

DOI: 10.4213/sm406

 English version: Sbornik: Mathematics, 1999, 190:6, 783–790

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