On Eigenfunction Approximations for Typical Non-self-adjoint Schrödinger Operators
نویسندگان
چکیده
We construct efficient approximations for the eigenfunctions of non-selfadjoint Schrödinger operators in one dimension. The same ideas also apply to the study of resonances of self-adjoint Schrödinger 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. AMS subject classification: 34L05, 35P05, 47A75, 49R99, 65L15
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