Quantum group and magnetic translations. Bethe-Ansatz solution for bloch electrons in a magnetic field
Abstract
We present a new approach to the problem of Bloch electrons in magnetic field, by making explicit a natural relation between magnetic translations and the quantum group U 9(sl 2). The approach allows to express the spectrum and the Bloch function as solutions of the Bethe-Ansatz equations typical for completely integrable quantum systems
- Publication:
-
Integrable Models and Strings
- Pub Date:
- 1994
- DOI:
- 10.1007/3-540-58453-6_4
- Bibcode:
- 1994LNP...436...49W