Authors
Citation
S. Agmon et al., Generalized Fourier transform for Schrodinger operators with potentials oforder zero, J FUNCT ANA, 167(2), 1999, pp. 345-369
Citations number
19
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236
→ ACNP
Volume
167
Issue
2
Year of publication
1999
Pages
345 - 369
Database
ISI
SICI code
0022-1236(19991001)167:2<345:GFTFSO>2.0.ZU;2-T
Abstract
We investigate the Schrodinger operator H = -Delta + V acting in L-2(R-n),
n greater than or equal to 2, for potentials V that satisfy partial derivat
ive(x)(alpha) V(x) = O(\x\(-\alpha\)) as \x\ --> infinity. By introducing c
oordinates on R-n closely related to a relevant eikonal equation we obtain
an eigenfunction expansion for H at high energies. (C) 1999 Academic Press.