I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1999, VOLUME 5, NUMBER 2, PAGES 503-526
V. E. Kunitsyn
I. A. Nesterov
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There are thin areas in frequency domain near quasi-resonance levels
where the reflection coefficient changes considerably when the potential
is large and nonmonotonic; only quite far from these areas
and critical frequencies the WKB approach is satisfactory.
When the potential grows then these areas become more and more thin
(exponentially) so it is impossible to observe all the resonances and
to get the full information
about the potential. The nonuniqueness of the inverse problem arises.
On the other hand if the parameters of all resonances are known
then the reconstruction of
nonmonotonic profiles is possible. The approximate methods are proposed
for solving forward and inverse problems.
All articles are published in Russian.
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Last modified: July 6, 1999