The Fictioning Horror Sale
 
 

Recently Viewed clear list


Powell's Q&A | September 3, 2014

Emily St. John Mandel: IMG Powell’s Q&A: Emily St. John Mandel



Describe your latest book. My new novel is called Station Eleven. It's about a traveling Shakespearean theatre company in a post-apocalyptic North... Continue »
  1. $17.47 Sale Hardcover add to wish list

    Station Eleven

    Emily St. John Mandel 9780385353304

spacer
Qualifying orders ship free.
$69.95
New Trade Paper
Ships in 1 to 3 days
Add to Wishlist
available for shipping or prepaid pickup only
Available for In-store Pickup
in 7 to 12 days
Qty Store Section
1 Remote Warehouse Mathematics- Applied

More copies of this ISBN

Mathematical and Numerical Modelling of Heterostructure Semiconductor Devices: From Theory to Programming

by

Mathematical and Numerical Modelling of Heterostructure Semiconductor Devices: From Theory to Programming Cover

 

Synopses & Reviews

Publisher Comments:

A comprehensive account is given of the processes involved in the mathematical and numerical modelling of semiconductor devices. This account will follow three main strands: a presentation of the physical theory behind the mathematical equations involved in the modelling, a presentation of the main numerical methods involved in the solution of the equations, and a discussion of the practical aspects involved in applying these numerical methods to physical device shapes. Although most consideration is given to the modelling of MESFET and HEMT devices, all of the material is either immediately relevant, or can be easily relevant, or can be easily adapted, to the modelling of other devices.

Part I presents the main background physical theory. This theory consists of chapters on basic quantum mechanics, thermodynamics and statistical mechanics, and the main equations of device modelling. These notes are based on notes of lectures I have presented at final year undergraduate level.

Part II presents the numerical methods involved in the solution of these modelling equations. This Part includes discussions of the basic Newton method, relaxation methods, the upwinding method, the phaseplane method (used for rapid inclusion of new terms in the modelling equations), mulitgrids, and genetic algorithms with simulated annealing. These chapters are self-contained, and they assume no previous knowledge on behalf of the reader on these topics. Practical aspects of applying these various methods to actual devices are discussed and, where appropriate, short sections of computer code are presented for this purpose. This code is written in the C programming language, and is written in a simple and transparent way in order that the reader should find it straightforward to re-write it in his or her own favourite programming.

Synopsis:

This book covers the basic ideas of quantum mechanics and statistical mechanics, and it clearly explains numerical techniques such as genetic computing. It includes case studies of those techniques being tailored to specific problems of device modeling.

Synopsis:

The commercial development of novel semiconductor devices requires that their properties be examined as thoroughly and rapidly as possible. These properties are investigated by obtaining numerical solutions of the highly nonlinear coupled set of equations which govern their behaviour. In particular, the existence of interfaces between different material layers in heterostructures means that quantum solutions must be found in the quantum wells which are formed at these interfaces. This book presents some of the mathematical and numerical techniques associated with the investigation. It begins with introductions to quantum and statistical mechanics. Later chapters then cover finite differences; multigrids; upwinding techniques; simulated annealing; mesh generation; and the reading of computer code in C++; these chapters are self-contained, and do not rely on the reader having met these topics before. The author explains how the methods can be adapted to the specific needs of device modelling, the advantages and disadvantages of each method, the pitfalls to avoid, and practical hints and tips for successful implementation. Sections of computer code are included to illustrate the methods used. Written for anyone who is interested in learning about, or refreshing their knowledge of, some of the basic mathematical and numerical methods involved in device modelling, this book is suitable for advanced undergraduate and graduate students, lecturers and researchers working in the fields of electrical engineering and semiconductor device physics, and for students of other mathematical and physical disciplines starting out in device modelling.

Table of Contents

Part I Overview and physical equations.- 1 Overview of device modeling.- 2 Quantum mechanics.- 3 Equilibrium thermodynamics and statistical mechanics.- 4 Density of states and applications - 1.- 5 Density of states and applications - 2.- 6 The transport equations and the device equations.- Part II Mathematical and numerical methods.- 7 Basic approximation and numerical methods.- 8 Fermi and associated integrals.- 9 The upwinding method.- 10 Solution of equations: the Newton and reduced method.- 11 Solution of equations: the phaseplane method.- 12 Solution of equations: the multigrid method.- 13 Approximate and numerical solutions of the Schr¨odinger equation.- 14 Genetic algorithms and simulated annealing.- 15 Grid generation.- A The theory of contractive mapping.

Product Details

ISBN:
9781848829367
Author:
Cole, E. A. B
Publisher:
Springer
Author:
Cole, E. a. B.
Subject:
Applied
Subject:
Mathematical Physics
Subject:
Electronics - Semiconductors
Subject:
Electricity-General Electronics
Subject:
Electronic device modelling
Subject:
Heterostructure semiconductor device
Subject:
numerical techniques
Subject:
Quantum mechnics
Subject:
Semiconductor device modeling
Subject:
Statistical mechanics
Subject:
Mathematical Modeling and Industrial Mathematics
Subject:
Appl.Mathematics/Computational Methods of Engineering
Subject:
mathematical methods in physics
Copyright:
Edition Description:
2009
Publication Date:
20091214
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
421
Dimensions:
235 x 155 mm 1310 gr

Related Subjects

Computers and Internet » Networking » General
Science and Mathematics » Biology » General
Science and Mathematics » Electricity » General Electronics
Science and Mathematics » Electricity » Solid State Electronics
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » General
Science and Mathematics » Physics » Math

Mathematical and Numerical Modelling of Heterostructure Semiconductor Devices: From Theory to Programming New Trade Paper
0 stars - 0 reviews
$69.95 In Stock
Product details 421 pages Springer - English 9781848829367 Reviews:
"Synopsis" by , This book covers the basic ideas of quantum mechanics and statistical mechanics, and it clearly explains numerical techniques such as genetic computing. It includes case studies of those techniques being tailored to specific problems of device modeling.
"Synopsis" by , The commercial development of novel semiconductor devices requires that their properties be examined as thoroughly and rapidly as possible. These properties are investigated by obtaining numerical solutions of the highly nonlinear coupled set of equations which govern their behaviour. In particular, the existence of interfaces between different material layers in heterostructures means that quantum solutions must be found in the quantum wells which are formed at these interfaces. This book presents some of the mathematical and numerical techniques associated with the investigation. It begins with introductions to quantum and statistical mechanics. Later chapters then cover finite differences; multigrids; upwinding techniques; simulated annealing; mesh generation; and the reading of computer code in C++; these chapters are self-contained, and do not rely on the reader having met these topics before. The author explains how the methods can be adapted to the specific needs of device modelling, the advantages and disadvantages of each method, the pitfalls to avoid, and practical hints and tips for successful implementation. Sections of computer code are included to illustrate the methods used. Written for anyone who is interested in learning about, or refreshing their knowledge of, some of the basic mathematical and numerical methods involved in device modelling, this book is suitable for advanced undergraduate and graduate students, lecturers and researchers working in the fields of electrical engineering and semiconductor device physics, and for students of other mathematical and physical disciplines starting out in device modelling.
spacer
spacer
  • back to top
Follow us on...




Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.