Mathematical Problems In Semiconductor Physics

Author : P A Marcati
Publisher : CRC Press
ISBN 13 : 9780582287044
Total Pages : 232 pages
Book Rating : 4.49/5 ( download)

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Download or read book Mathematical Problems in Semiconductor Physics written by P A Marcati and published by CRC Press. This book was released on 1995-12-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Angelo Marcello Anile
Publisher : Springer
ISBN 13 : 3540452222
Total Pages : 152 pages
Book Rating : 4.25/5 ( download)

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Download or read book Mathematical Problems in Semiconductor Physics written by Angelo Marcello Anile and published by Springer. This book was released on 2003-12-15 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the the mathematical aspects of the theory of carrier transport in semiconductor devices. The subjects covered include hydrodynamical models for semiconductors based on the maximum entropy principle of extended thermodynamics, mathematical theory of drift-diffusion equations with applications, and the methods of asymptotic analysis.

Author : Angelo Marcello Anile
Publisher :
ISBN 13 :
Total Pages : 141 pages
Book Rating : 4.23/5 ( download)

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Download or read book Mathematical Problems in Semiconductor Physics written by Angelo Marcello Anile and published by . This book was released on 2003 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Angelo Marcello Anile
Publisher : Springer
ISBN 13 : 9783540452225
Total Pages : 0 pages
Book Rating : 4.22/5 ( download)

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Download or read book Mathematical Problems in Semiconductor Physics written by Angelo Marcello Anile and published by Springer. This book was released on 2003-12-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the the mathematical aspects of the theory of carrier transport in semiconductor devices. The subjects covered include hydrodynamical models for semiconductors based on the maximum entropy principle of extended thermodynamics, mathematical theory of drift-diffusion equations with applications, and the methods of asymptotic analysis.

Author : Angelo Marcello Anile
Publisher : Springer Science & Business Media
ISBN 13 : 9783540408024
Total Pages : 164 pages
Book Rating : 4.29/5 ( download)

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Download or read book Mathematical Problems in Semiconductor Physics written by Angelo Marcello Anile and published by Springer Science & Business Media. This book was released on 2003-09-16 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the the mathematical aspects of the theory of carrier transport in semiconductor devices. The subjects covered include hydrodynamical models for semiconductors based on the maximum entropy principle of extended thermodynamics, mathematical theory of drift-diffusion equations with applications, and the methods of asymptotic analysis.

Author : Ansgar Jüngel
Publisher : Birkhäuser
ISBN 13 : 303488334X
Total Pages : 301 pages
Book Rating : 4.44/5 ( download)

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Download or read book Quasi-hydrodynamic Semiconductor Equations written by Ansgar Jüngel and published by Birkhäuser. This book was released on 2011-04-27 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a hierarchy of macroscopic models for semiconductor devices, studying three classes of models in detail: isentropic drift-diffusion equations, energy-transport models, and quantum hydrodynamic equations. The derivation of each, including physical discussions, is shown. Numerical simulations for modern semiconductor devices are performed, showing the particular features of each. The author develops modern analytical techniques, such as positive solution methods, local energy methods for free-boundary problems and entropy methods.

Author : J.-P. Colinge
Publisher : Springer Science & Business Media
ISBN 13 : 0306476223
Total Pages : 442 pages
Book Rating : 4.28/5 ( download)

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Download or read book Physics of Semiconductor Devices written by J.-P. Colinge and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics of Semiconductor Devices covers both basic classic topics such as energy band theory and the gradual-channel model of the MOSFET as well as advanced concepts and devices such as MOSFET short-channel effects, low-dimensional devices and single-electron transistors. Concepts are introduced to the reader in a simple way, often using comparisons to everyday-life experiences such as simple fluid mechanics. They are then explained in depth and mathematical developments are fully described. Physics of Semiconductor Devices contains a list of problems that can be used as homework assignments or can be solved in class to exemplify the theory. Many of these problems make use of Matlab and are aimed at illustrating theoretical concepts in a graphical manner.

Author : Peter A. Markowich
Publisher : Springer Science & Business Media
ISBN 13 : 3709169615
Total Pages : 261 pages
Book Rating : 4.12/5 ( download)

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Download or read book Semiconductor Equations written by Peter A. Markowich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years the mathematical modeling of charge transport in semi conductors has become a thriving area in applied mathematics. The drift diffusion equations, which constitute the most popular model for the simula tion of the electrical behavior of semiconductor devices, are by now mathe matically quite well understood. As a consequence numerical methods have been developed, which allow for reasonably efficient computer simulations in many cases of practical relevance. Nowadays, research on the drift diffu sion model is of a highly specialized nature. It concentrates on the explora tion of possibly more efficient discretization methods (e.g. mixed finite elements, streamline diffusion), on the improvement of the performance of nonlinear iteration and linear equation solvers, and on three dimensional applications. The ongoing miniaturization of semiconductor devices has prompted a shift of the focus of the modeling research lately, since the drift diffusion model does not account well for charge transport in ultra integrated devices. Extensions of the drift diffusion model (so called hydrodynamic models) are under investigation for the modeling of hot electron effects in submicron MOS-transistors, and supercomputer technology has made it possible to employ kinetic models (semiclassical Boltzmann-Poisson and Wigner Poisson equations) for the simulation of certain highly integrated devices.

Author : John E. Carroll
Publisher : Cambridge University Press
ISBN 13 : 9780521388665
Total Pages : 194 pages
Book Rating : 4.6X/5 ( download)

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Download or read book Rate Equations in Semiconductor Electronics written by John E. Carroll and published by Cambridge University Press. This book was released on 1990-03-30 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a novel approach to the teaching of dynamic aspects of the operation of semiconductor and opto-electronic devices. Such dynamic aspects often determine the steady state conditions. Also, the dynamical operation of such devices is of increasing importance as modern methods of communicating data and information require electronic devices that switch electrical or optical signals at ever faster rates. The author discusses the rates at which electrons and holes can reach equilibrium, the rates at which transistors and diodes can switch, and the rates at which electrons and holes can interact with photons, and with protons. He also applies the rate equations in a unified way to models of light-emitting diodes, injection lasers and photodiodes. Finally, the author discusses more-advanced topics on the photon statistics of injection lasers, mode-locking and the application of rate equations and Maxwell's equations to opto-electronic devices.

Author : E.A.B. Cole
Publisher : Springer Science & Business Media
ISBN 13 : 184882937X
Total Pages : 408 pages
Book Rating : 4.74/5 ( download)

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Download or read book Mathematical and Numerical Modelling of Heterostructure Semiconductor Devices: From Theory to Programming written by E.A.B. Cole and published by Springer Science & Business Media. This book was released on 2009-11-28 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of my lecturing work in the School of Mathematics at the University of Leeds involved teaching quantum mechanics and statistical mechanics to mathematics undergraduates, and also mathematical methods to undergraduate students in the School of Electronic and Electrical Engineering at the University. The subject of this book has arisen as a result of research collaboration on device modelling with members of the School of Electronic and Electrical Engineering. I wanted to write a book which would be of practical help to those wishing to learn more about the mathematical and numerical methods involved in heteroju- tion device modelling. I have introduced only a comparatively small number of t- ics, and the reader may think that other important topics should have been included. But of the topics which I have introduced, I hope that I have given the reader some practical advice concerning the implementation of the methods which are discussed. This practical advice includes demonstrating how the implementation of the me- ods may be tailored to the speci?c device being modelled, and also includes some sections of computer code to illustrate this implementation. I have also included some background theory regarding the origins of the routines.