Spectral Instability for Some Schroedinger Operators
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
1998
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| _version_ | 1866912655768289280 |
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| author | Aslanyan, A. Davies, E. B. |
| author_facet | Aslanyan, A. Davies, E. B. |
| contents | We define the concept of instability index of an isolated eigenvalue of a non-self-adjoint operator, and prove some of its general properties. We also describe a stable procedure for computing this index for Schroedinger operators in one dimension, and apply it to the complex resonances of a typical operator with a dilation analytic potential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_9810063 |
| institution | arXiv |
| publishDate | 1998 |
| record_format | arxiv |
| spellingShingle | Spectral Instability for Some Schroedinger Operators Aslanyan, A. Davies, E. B. Spectral Theory Numerical Analysis 34L05; 35P05; 47A75; 49R99; 65L15 We define the concept of instability index of an isolated eigenvalue of a non-self-adjoint operator, and prove some of its general properties. We also describe a stable procedure for computing this index for Schroedinger operators in one dimension, and apply it to the complex resonances of a typical operator with a dilation analytic potential. |
| title | Spectral Instability for Some Schroedinger Operators |
| topic | Spectral Theory Numerical Analysis 34L05; 35P05; 47A75; 49R99; 65L15 |
| url | https://arxiv.org/abs/math/9810063 |