Spectral instability for some Schrodinger operators

Authors
Aslanyan, A Davies, EB
Citation
A. Aslanyan et Eb. Davies, Spectral instability for some Schrodinger operators, NUMER MATH, 85(4), 2000, pp. 525-552
Citations number
24
Categorie Soggetti
Mathematics
Journal title
NUMERISCHE MATHEMATIK
ISSN journal
0029599X → ACNP
Volume
85
Issue
4
Year of publication
2000
Pages
525 - 552
Database
ISI
SICI code
0029-599X(200006)85:4<525:SIFSSO>2.0.ZU;2-9
Abstract
We show that the condition numbers of isolated eigenvalues of typical non-s elf-adjoint differential operators such as the harmonic oscillator may be e xtremely large. We describe a stable procedure for computing the condition numbers for Schrodinger operators in one dimension, and apply it to the com plex resonances of a typical operator with a dilation analytic potential.