Published August 1991
| Version v1
Journal article
1D-quasiperiodic operators. Latent symmetries
Creators
- 1. International Inst. of Earthquake Prediction Theory and Mathematical Geophysics, Moscow (USSR)
Description
A large class of discrete quasiperiodic operators is shown to be decomposed into orbits of SL(2, Z) action with equal densities of states. Moreover under some natural assumptions all nontrivial representatives of the mentioned action transform operators with pure point spectrum into those with absolutely continuous spectrum. Some applications of these results are presented. (orig.)
Additional details
Publishing Information
- Journal Title
- Communications in Mathematical Physics
- Journal Volume
- 139
- Journal Issue
- 3
- Series
- Commun. Math. Phys.
- Journal Page Range
- 589-604
- ISSN
- 0010-3616
- CODEN
- CMPHA
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 22069969
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DUALITY; EIGENSTATES; ENERGY SPECTRA; ENERGY-LEVEL DENSITY; GAUGE INVARIANCE; HAMILTONIANS; IRREDUCIBLE REPRESENTATIONS; MAGNETIC FIELDS; ONE-DIMENSIONAL CALCULATIONS; ORBITS; QUANTUM OPERATORS; SL GROUPS; SYMMETRY
- Descriptors DEC
- INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL OPERATORS; SPECTRA; SYMMETRY GROUPS