ABSENCE OF ABSOLUTELY CONTINUOUS SPECTRA FOR MULTIDIMENSIONAL SCHRODINGER-OPERATORS WITH HIGH BARRIERS

Authors
MCGILLIVRAY I STOLLMANN P STOLZ G
Citation
I. Mcgillivray et al., ABSENCE OF ABSOLUTELY CONTINUOUS SPECTRA FOR MULTIDIMENSIONAL SCHRODINGER-OPERATORS WITH HIGH BARRIERS, Bulletin of the London Mathematical Society, 27, 1995, pp. 162-168
Citations number
14
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Bulletin of the London Mathematical Society → ACNP
ISSN journal
00246093
Volume
27
Year of publication
1995
Part
2
Pages
162 - 168
Database
ISI
SICI code
0024-6093(1995)27:<162:AOACSF>2.0.ZU;2-1
Abstract
We prove absence of absolutely continuous spectra for multidimensional Schrodinger operators with high barriers. The result is formulated in terms of a geometric condition on the barriers which entails singular spectrum. The proof combines probabilistic and functional analytic te chniques.