On eigenfunction approximations for typical non–self–adjoint Schrödinger operators
نویسندگان
چکیده
منابع مشابه
On Eigenfunction Approximations for Typical Non-self-adjoint Schrödinger Operators
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 ad...
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Let T be a linear compact operator on a Hilbert space H, Aj be its eigenvalues, IA,1 > /& > ,..., rj be the moduli of the real parts of the eigenvalues ordered so that r, > r2 .... Note that rj is not necessarily equal to 1 Re ;ljj. Let Lj be the eigensubspace of T corresponding to Aj, yj be the eigensubspace of T corresponding to rj, zj = Cjk,, i L,, aj = xi=, -k Mk. Let tj be the moduli of th...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
سال: 2000
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2000.0562