Asymptotic Structure of the Density-Gradient Theory of Quantum Transport

  • M. G. Ancona
Part of the The Springer International Series in Engineering and Computer Science book series (SECS, volume 113)


In recent work we have developed an approximate approach to simulating electron transport in semiconductors in regimes in which quantum effects are important [1]. This approach is a macroscopic or “hydrodynamic” approach known as density—gradient (DG) theory. Through detailed comparisons with quantum mechanics, we have shown DG theory to have a useful range of applicability which encompasses a variety of important quantum transport phenomena [1]. In addition to representing a new and possibly useful approach to quantum transport simulation, DG theory is of interest as a mathematical theory as well. In this paper, we focus on these mathematical aspects.


Singular Perturbation Large Length Scale Surface Recombination Velocity Asymptotic Structure Singular Character 
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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • M. G. Ancona
    • 1
  1. 1.Naval Research LaboratoryUSA

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