Spectral Asymptotics of the Non-Self-Adjoint Harmonic Oscillator |
| |
| Authors: | Davies, E. B. Kuijlaars, A. B. J. |
| |
| Affiliation: | Department of Mathematics, King's College London Strand, London WC2R 2LS, United Kingdom, e.brian.davies{at}kcl.ac.uk
Department of Mathematics, Katholieke Universiteit Leuven Celestijnenlaan 200 B, 3001 Leuven, Belgium, arno.kuijlaars{at}wis.kuleuven.ac.be |
| |
| Abstract: | An explicit asymptotic formula is obtained for the norms ofthe spectral projections of the non-self-adjoint harmonic oscillatorH. It is deduced that the spectral expansion of e-Ht is normconvergent if and only if t is greater than a certain explicitpositive constant. |
| |
| Keywords: | |
| 本文献已被 Oxford 等数据库收录！ |
|
