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Dynamics of Bloch Electrons in Time Dependent External Electric Fields: Bounds for Interband Transitions

Mathematical Physics 2009-11-13 v1 Other Condensed Matter math.MP

Abstract

Using adiabatic expansions formalism, upper bounds for interband transitions for Bloch electrons in slowly varying in time electric fields are obtained. These bounds imply the validity of one-band approximation on long time scales.

Keywords

Cite

@article{arxiv.0709.3456,
  title  = {Dynamics of Bloch Electrons in Time Dependent External Electric Fields: Bounds for Interband Transitions},
  author = {Alexandrina Nenciu},
  journal= {arXiv preprint arXiv:0709.3456},
  year   = {2009}
}

Comments

12 pages

R2 v1 2026-06-21T09:20:11.609Z