Published June 1996
| Version v1
Journal article
Some anisotropic Schroedinger operators without singular spectrum
- 1. B. Verkin Inst., Kharkov (Ukraine). Mathematical Div.
- 2. Paris-7 Univ., 75 (France). Dept. de Mathematiques
- 3. Academia R.S.R., Bucharest (Romania). Inst. of Mathematics
Description
We study Schroedinger operators with potentials not decaying at infinity. For these we prove a limiting absorption principle and the absence of singular spectrum. This is done by an abstract method, relying on the positivity of a commutator, related to the Kato-Putnam and Mourre methods. (orig.)
Additional details
Publishing Information
- Journal Title
- Helvetica Physica Acta
- Journal Volume
- 69
- Journal Issue
- 1
- Journal Page Range
- p. 13-25.
- ISSN
- 0018-0238
- CODEN
- HPACAK
INIS
- Country of Publication
- Switzerland
- Country of Input or Organization
- Switzerland
- INIS RN
- 27066636
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANALYTIC FUNCTIONS; ANISOTROPY; COMMUTATORS; EIGENVALUES; ENERGY SPECTRA; HAMILTONIANS; HILBERT SPACE; SCHROEDINGER EQUATION; SPECTRAL FUNCTIONS
- Descriptors DEC
- BANACH SPACE; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; SPACE; SPECTRA; WAVE EQUATIONS