On eigenfunction approximations for typical non-self-adjoint Schroedinger operators
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
1999
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| _version_ | 1866914099988791296 |
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| author | Aslanyan, A. Davies, E. B. |
| author_facet | Aslanyan, A. Davies, E. B. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_9904093 |
| institution | arXiv |
| publishDate | 1999 |
| record_format | arxiv |
| spellingShingle | On eigenfunction approximations for typical non-self-adjoint Schroedinger operators Aslanyan, A. Davies, E. B. Spectral Theory Numerical Analysis 34L05, 35P05, 47A75, 49R99, 65L15 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. |
| title | On eigenfunction approximations for typical non-self-adjoint Schroedinger operators |
| topic | Spectral Theory Numerical Analysis 34L05, 35P05, 47A75, 49R99, 65L15 |
| url | https://arxiv.org/abs/math/9904093 |