- 99-121 A. Aslanyan and E. B. Davies
- On eigenfunction approximations for typical
non-self-adjoint Schroedinger operators
(245K, gzipped ps)
Apr 19, 99
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Abstract. We construct efficient approximations for the eigenfunctions
of non-self-adjoint Schroedinger operators in one dimension.
The same ideas also apply to the study of resonances of
self-adjoint Schroedinger operators which have dilation analytic
potentials. In spite of the fact that such eigenfunctions can have
surprisingly complicated structures with multiple local maxima, we
show that a suitable adaptation of the JWKB method is able to provide
accurate global approximations to them.