Authors
Citation
Eb. Davies, Pseudo-spectra, the harmonic oscillator and complex resonances, P ROY SOC A, 455(1982), 1999, pp. 585-599
Citations number
14
Categorie Soggetti
Multidisciplinary
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
ISSN journal
13645021
→ ACNP
Volume
455
Issue
1982
Year of publication
1999
Pages
585 - 599
Database
ISI
SICI code
1364-5021(19990208)455:1982<585:PTHOAC>2.0.ZU;2-C
Abstract
We prove that non-self-adjoint harmonic and anharmonic oscillator operators
have non-trivial pseudo-spectra. As a consequence, the computation of high
-energy resonances by the dilation analyticity technique is not numerically
stable.