This collection of papers arises from a workshop held at the "Istituto per le Applicazioni del Calcolo" of the Italian CNR. The first part of the book includes the material covered by three mini-series of lectures at graduate level on some advanced mathematical topics in semiconductor physics. The second part of the book includes more specialized topics, covered by invited speakers in their individual lectures. The volume can be used both at introductory level and as an updated and advanced review of the current literature. Most of the papers are concerned with both the macroscopic and microscopic models, ranging from the kinetic to the hydrodynamic and quantum-hydrodynamic models.

Part 1
General lectures: an extended thermodynamic framework for the hydrodynamical modelling of semiconductors,
A.M. Anile
macroscopic theory of charged quantum fluids,
I. Gasser et al
the Child-Langmuir law in the kinetic theory of charged particles - semiconductor models,
N. Ben Abdallah and P. Degond.
Part 2 Contributed lectures: the relaxation-time Wigner equation,
A. Arnold
Gunn instabilities in extrinsic semiconductors,
L.L. Bonilla
the drift-diffusion model as an evolution equation of special structure, H. Gajewski
approximate kinetic equations for ID carrier flow in semiconductor devices, A. Majorana
relaxation phenomena for the hydrodynamic models in semiconductors, P.A. Marcati and R. Natalini
drift diffusion models for heterostructures in semiconductors, F. Poupand and A. Yamnahakki
an extension of the hydrodynamic model equations, C. Ringhofer
the hydrodynamic model in semiconductors - coefficient calculation for the conduction band of silicon, M. Rudan et al.
 

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