The k p Method

The k p Method PDF Author: Lok C. Lew Yan Voon
Publisher: Springer Science & Business Media
ISBN: 3540928723
Category : Science
Languages : en
Pages : 452

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Book Description
I ?rst heard of k·p in a course on semiconductor physics taught by my thesis adviser William Paul at Harvard in the fall of 1956. He presented the k·p Hamiltonian as a semiempirical theoretical tool which had become rather useful for the interpre- tion of the cyclotron resonance experiments, as reported by Dresselhaus, Kip and Kittel. This perturbation technique had already been succinctly discussed by Sho- ley in a now almost forgotten 1950 Physical Review publication. In 1958 Harvey Brooks, who had returned to Harvard as Dean of the Division of Engineering and Applied Physics in which I was enrolled, gave a lecture on the capabilities of the k·p technique to predict and ?t non-parabolicities of band extrema in semiconductors. He had just visited the General Electric Labs in Schenectady and had discussed with Evan Kane the latter’s recent work on the non-parabolicity of band extrema in semiconductors, in particular InSb. I was very impressed by Dean Brooks’s talk as an application of quantum mechanics to current real world problems. During my thesis work I had performed a number of optical measurements which were asking for theoretical interpretation, among them the dependence of effective masses of semiconductors on temperature and carrier concentration. Although my theoretical ability was rather limited, with the help of Paul and Brooks I was able to realize the capabilities of the k·p method for interpreting my data in a simple way.

The k p Method

The k p Method PDF Author: Lok C. Lew Yan Voon
Publisher: Springer Science & Business Media
ISBN: 3540928723
Category : Science
Languages : en
Pages : 452

Get Book Here

Book Description
I ?rst heard of k·p in a course on semiconductor physics taught by my thesis adviser William Paul at Harvard in the fall of 1956. He presented the k·p Hamiltonian as a semiempirical theoretical tool which had become rather useful for the interpre- tion of the cyclotron resonance experiments, as reported by Dresselhaus, Kip and Kittel. This perturbation technique had already been succinctly discussed by Sho- ley in a now almost forgotten 1950 Physical Review publication. In 1958 Harvey Brooks, who had returned to Harvard as Dean of the Division of Engineering and Applied Physics in which I was enrolled, gave a lecture on the capabilities of the k·p technique to predict and ?t non-parabolicities of band extrema in semiconductors. He had just visited the General Electric Labs in Schenectady and had discussed with Evan Kane the latter’s recent work on the non-parabolicity of band extrema in semiconductors, in particular InSb. I was very impressed by Dean Brooks’s talk as an application of quantum mechanics to current real world problems. During my thesis work I had performed a number of optical measurements which were asking for theoretical interpretation, among them the dependence of effective masses of semiconductors on temperature and carrier concentration. Although my theoretical ability was rather limited, with the help of Paul and Brooks I was able to realize the capabilities of the k·p method for interpreting my data in a simple way.

Harmonic Analysis Method for Nonlinear Evolution Equations, I

Harmonic Analysis Method for Nonlinear Evolution Equations, I PDF Author: Baoxiang Wang
Publisher: World Scientific
ISBN: 9814360732
Category : Mathematics
Languages : en
Pages : 298

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Book Description
This monograph provides a comprehensive overview on a class of nonlinear dispersive equations, such as nonlinear Schr dinger equation, nonlinear Klein Gordon equation, KdV equation as well as the Navier Stokes equations and the Boltzmann equation. The global wellposedness to the Cauchy problem for those equations are systematically studied by using the Harmonic analysis methods. This book is self-contained and may also be used as an advanced textbook by graduate students in analysis and PDE subjects- and even ambitious undergraduate students.

Mathematical Methods and Models in Biomedicine

Mathematical Methods and Models in Biomedicine PDF Author: Urszula Ledzewicz
Publisher: Springer Science & Business Media
ISBN: 1461441773
Category : Mathematics
Languages : en
Pages : 426

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Book Description
Mathematical biomedicine is a rapidly developing interdisciplinary field of research that connects the natural and exact sciences in an attempt to respond to the modeling and simulation challenges raised by biology and medicine. There exist a large number of mathematical methods and procedures that can be brought in to meet these challenges and this book presents a palette of such tools ranging from discrete cellular automata to cell population based models described by ordinary differential equations to nonlinear partial differential equations representing complex time- and space-dependent continuous processes. Both stochastic and deterministic methods are employed to analyze biological phenomena in various temporal and spatial settings. This book illustrates the breadth and depth of research opportunities that exist in the general field of mathematical biomedicine by highlighting some of the fascinating interactions that continue to develop between the mathematical and biomedical sciences. It consists of five parts that can be read independently, but are arranged to give the reader a broader picture of specific research topics and the mathematical tools that are being applied in its modeling and analysis. The main areas covered include immune system modeling, blood vessel dynamics, cancer modeling and treatment, and epidemiology. The chapters address topics that are at the forefront of current biomedical research such as cancer stem cells, immunodominance and viral epitopes, aggressive forms of brain cancer, or gene therapy. The presentations highlight how mathematical modeling can enhance biomedical understanding and will be of interest to both the mathematical and the biomedical communities including researchers already working in the field as well as those who might consider entering it. Much of the material is presented in a way that gives graduate students and young researchers a starting point for their own work.

ARMA Model Identification

ARMA Model Identification PDF Author: ByoungSeon Choi
Publisher: Springer Science & Business Media
ISBN: 1461397456
Category : Mathematics
Languages : en
Pages : 211

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Book Description
During the last two decades, considerable progress has been made in statistical time series analysis. The aim of this book is to present a survey of one of the most active areas in this field: the identification of autoregressive moving-average models, i.e., determining their orders. Readers are assumed to have already taken one course on time series analysis as might be offered in a graduate course, but otherwise this account is self-contained. The main topics covered include: Box-Jenkins' method, inverse autocorrelation functions, penalty function identification such as AIC, BIC techniques and Hannan and Quinn's method, instrumental regression, and a range of pattern identification methods. Rather than cover all the methods in detail, the emphasis is on exploring the fundamental ideas underlying them. Extensive references are given to the research literature and as a result, all those engaged in research in this subject will find this an invaluable aid to their work.

Semiconductor Nanostructures

Semiconductor Nanostructures PDF Author: Dieter Bimberg
Publisher: Springer Science & Business Media
ISBN: 3540778993
Category : Technology & Engineering
Languages : en
Pages : 369

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Book Description
Reducing the size of a coherently grown semiconductor cluster in all three directions of space to a value below the de Broglie wavelength of a charge carrier leads to complete quantization of the energy levels, density of states, etc. Such “quantum dots” are more similar to giant atoms in a dielectric cage than to classical solids or semiconductors showing a dispersion of energy as a function of wavevector. Their electronic and optical properties depend strongly on their size and shape, i.e. on their geometry. By designing the geometry by controlling the growth of QDs, absolutely novel possibilities for material design leading to novel devices are opened. This multiauthor book written by world-wide recognized leaders of their particular fields and edited by the recipient of the Max-Born Award and Medal 2006 Professor Dieter Bimberg reports on the state of the art of the growing of quantum dots, the theory of self-organised growth, the theory of electronic and excitonic states, optical properties and transport in a variety of materials. It covers the subject from the early work beginning of the 1990s up to 2006. The topics addressed in the book are the focus of research in all leading semiconductor and optoelectronic device laboratories of the world.

A Modern Course in the Quantum Theory of Solids

A Modern Course in the Quantum Theory of Solids PDF Author: Fuxiang Han
Publisher: World Scientific
ISBN: 9814417149
Category : Science
Languages : en
Pages : 721

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Book Description
This book contains advanced subjects in solid state physics with emphasis on the theoretical exposition of various physical phenomena in solids using quantum theory, hence entitled "A modern course in the quantum theory of solids." The use of the adjective "modern" in the title is to reflect the fact that some of the new developments in condensed matter physics have been included in the book. The new developments contained in the book are mainly in experimental methods (inelastic neutron scattering and photoemission spectroscopy), in magnetic properties of solids (the itinerant magnetism, the superexchange, the Hubbard model, and giant and colossal magnetoresistance), and in optical properties of solids (Raman scattering). Besides the new developments, the Green's function method used in many-body physics and the strong-coupling theory of superconductivity are also expounded in great details.

A Method to Predict the Parameters of a Full Spectral Distribution from Instrumentally Truncated Data

A Method to Predict the Parameters of a Full Spectral Distribution from Instrumentally Truncated Data PDF Author: Robert O. Berthel
Publisher:
ISBN:
Category : Cloud physics
Languages : en
Pages : 52

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Book Description


Semiconductors and Semimetals

Semiconductors and Semimetals PDF Author:
Publisher: Academic Press
ISBN: 0080863906
Category : Technology & Engineering
Languages : en
Pages : 513

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Book Description
Semiconductors and Semimetals

Solid-State Photoemission and Related Methods

Solid-State Photoemission and Related Methods PDF Author: Wolfgang Schattke
Publisher: John Wiley & Sons
ISBN: 9783527403349
Category : Science
Languages : en
Pages : 520

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Book Description
Aktuelles Handbuch über Photoemission und verwandte Methoden zur Untersuchung und Charakterisierung von kondensierter Materie. Dieses Werk bietet sowohl Experimentalphysikern als auch Theoretikern alle Informationen von den physikalischen Grundlagen über Durchführung und Interpretation von Messungen aus einer Hand. Der Inhalt umfasst die räumlichen und elektronischen Eigenschaften von Oberflächen und Grenzflächen, theoretische Methoden zur Berechnung von Spektren, experimentelle Techniken zur Datenaufnahme und physikalische Modelle zur Interpretation.

Identifying, Measuring, and Valuing Knowledge-Based Intangible Assets: New Perspectives

Identifying, Measuring, and Valuing Knowledge-Based Intangible Assets: New Perspectives PDF Author: Vallejo-Alonso, Belen
Publisher: IGI Global
ISBN: 1609600568
Category : Social Science
Languages : en
Pages : 438

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Book Description
"The main scope of the book is to highlight the importance of intangible resources in business management, evidenced in their measurement and financial valuation, and the need for a strategic analysis that enables them to be identified and then assessed"--Provided by publisher.