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On the scattering frequencies of time‐dependent potentials
Author(s) -
Cooper J.,
PerlaMenzala G.,
Strauss W.,
Werner P.
Publication year - 1986
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670080137
Subject(s) - scattering , mathematics , scalar (mathematics) , mathematical analysis , plane wave , plane (geometry) , scattering theory , complex plane , physics , optics , geometry
This paper discusses the scattering frequencies associated with the scalar wave equation and a time‐periodic, real, potential. It is shown that the scattering frequencies form a discrete set in the complex plane and depend continuously on the potential. Existence of the scattering frequencies is proved for periodic potentials which are perturbations of a time independent, nonnegative, potential.
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