Wave-Packet Analysis of Electron-Phonon Interaction in the Wigner Formalism
Abstract
A theoretical and computational analysis is presented of the motion of a single one-dimensional electron, represented by a wave packet of given average momentum and position, in a fixed potential profile in presence of electron phonon interaction. The electron propagation can take place with or without an external bias. A perturbative approach is used in the theoretical framework of the Wigner function accounting for the continuous quantum dynamical evolution of the scattering process. The unperturbed hamiltonian contains the one-dimensional potential profile and the external field, while the electron phonon coupling potential is considered as the perturbation hamiltonian. Computational results are presented for the case of an electron propagating (1) without applied forces, (2) through a region where a uniform electric field is applied, and (3) in a double barrier potential in resonance conditions due to the relevance of these physical cases for practical applications.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1996
- Accession Number
- ADA331431
Entities
People
- C. Jacoboni
- R. Brunetti