Bloch electrons in an electric field

G. Dattoli, A. Doria, L. Giannessi

Research output: Contribution to journalArticle


We use the Wigner distribution function and the Von Neumann equation to treat the problem of the evolution of Bloch electrons moving under the combined influence of a periodic potential and of an applied continuous electric field. We show that our analysis provides an efficient tool for the solution of the problem and incorporates, in a fairly natural way, the features of previous treatments. We discuss analogies with other dynamical systems, ruled by a periodic potential, as those relevant to Free Electron Laser quantum interactions. © Società Italiana di Fisica.
Original languageEnglish
Pages (from-to)1091 - 1106
Number of pages16
JournalNuovo Cimento della Societa Italiana di Fisica B
Issue number9
Publication statusPublished - Sep 2001
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Dattoli, G., Doria, A., & Giannessi, L. (2001). Bloch electrons in an electric field. Nuovo Cimento della Societa Italiana di Fisica B, 116(9), 1091 - 1106.