On eigenfunction approximations for typical non-self-adjoint Schroedinger operators
Spectral Theory
2025-10-20 v1 Numerical Analysis
Numerical Analysis
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 lobal approximations to them.
Cite
@article{arxiv.math/9904093,
title = {On eigenfunction approximations for typical non-self-adjoint Schroedinger operators},
author = {A. Aslanyan and E. B. Davies},
journal= {arXiv preprint arXiv:math/9904093},
year = {2025}
}
Comments
17 pages, 11 figures