Properties of Electron Gas in Constant Magnetic and Electric Fields.
Abstract
An investigation was carried out on the dynamics of electrons in an electric and magnetic field. The density of states operator was applied to two models. The problem of a free electron in an electric and the problem of a harmonic oscillator are treated with the potential energy as a perturbation. These two problems can be considered as good models for a solid in an electric and magnetic field correspondingly. An interesting result was obtained for the motion of an electron in a crystal in the presence of an electric field. The energy uncertainty was calculated for the most general one-band wave packet. It was shown that this energy uncertainty is at least on the order of the Stark ladder spacing eEa. For the Bloch electron in a magnetic field the kq-representation was applied for investigating the symmetry properties of the problem. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1973
- Accession Number
- AD0783443
Entities
People
- J. Zak
Organizations
- Technion – Israel Institute of Technology