Approximation Methods in Quantum Mechanics PDF Download
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Author: Arkadiĭ Beĭnusovich Migdal
Publisher:
ISBN:
Category : Approximate computation
Languages : en
Pages : 168
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Book Description
Dimensional and "model" approximations -- Various types of perturbation theory -- The quasiclassical approximation.
Author: Arkadiĭ Beĭnusovich Migdal
Publisher:
ISBN:
Category : Approximate computation
Languages : en
Pages : 168
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Book Description
Dimensional and "model" approximations -- Various types of perturbation theory -- The quasiclassical approximation.
Author: Kevin F. Brennan
Publisher: Cambridge University Press
ISBN: 9780521596626
Category : Science
Languages : en
Pages : 784
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Book Description
Modern fabrication techniques have made it possible to produce semiconductor devices whose dimensions are so small that quantum mechanical effects dominate their behavior. This book describes the key elements of quantum mechanics, statistical mechanics, and solid-state physics that are necessary in understanding these modern semiconductor devices. The author begins with a review of elementary quantum mechanics, and then describes more advanced topics, such as multiple quantum wells. He then disusses equilibrium and nonequilibrium statistical mechanics. Following this introduction, he provides a thorough treatment of solid-state physics, covering electron motion in periodic potentials, electron-phonon interaction, and recombination processes. The final four chapters deal exclusively with real devices, such as semiconductor lasers, photodiodes, flat panel displays, and MOSFETs. The book contains many homework exercises and is suitable as a textbook for electrical engineering, materials science, or physics students taking courses in solid-state device physics. It will also be a valuable reference for practising engineers in optoelectronics and related areas.
Author: V. K. Thankappan
Publisher: New Age International
ISBN: 9788122405262
Category : Science
Languages : en
Pages : 556
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Book Description
Chapter 11 treats canonical quantization of both non-relativistic and relativistic fields; topics covered include the natural system of units, the Dyson and the Wick chronological products, normal products, Wick's theorem and the Feynman diagrams. The last Chapter (12) discusses in detail the Interpretational Problem in quantum mechanics.
Author: Victor P. Maslov
Publisher: Springer Science & Business Media
ISBN: 9781402003066
Category : Science
Languages : en
Pages : 320
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Book Description
This volume is concerned with a detailed description of the canonical operator method - one of the asymptotic methods of linear mathematical physics. The book is, in fact, an extension and continuation of the authors' works [59], [60], [65]. The basic ideas are summarized in the Introduction. The book consists of two parts. In the first, the theory of the canonical operator is develop ed, whereas, in the second, many applications of the canonical operator method to concrete problems of mathematical physics are presented. The authors are pleased to express their deep gratitude to S. M. Tsidilin for his valuable comments. THE AUTHORS IX INTRODUCTION 1. Various problems of mathematical and theoretical physics involve partial differential equations with a small parameter at the highest derivative terms. For constructing approximate solutions of these equations, asymptotic methods have long been used. In recent decades there has been a renaissance period of the asymptotic methods of linear mathematical physics. The range of their applicability has expanded: the asymptotic methods have been not only continuously used in traditional branches of mathematical physics but also have had an essential impact on the development of the general theory of partial differential equations. It appeared recently that there is a unified approach to a number of problems which, at first sight, looked rather unrelated.
Author: Arthur March
Publisher: Courier Corporation
ISBN: 048644578X
Category : Science
Languages : en
Pages : 308
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Book Description
A complete explanation of quantum mechanics, from its early non-relativistic formulation to the complex field theories used so extensively in modern theoretical research, this volume assumes no specialized knowledge of the subject. It stresses relativistic quantum mechanics, since this subject plays such an important role in research, explaining the principles clearly and imparting an accurate understanding of abstract concepts. This text deals with quantum mechanics from its earliest developments, covering both the quantum mechanics of wave fields and the older quantum theory of particles. The final chapter culminates with the author's presentation of his revolutionary theory of fundamental length--a concept designed to meet many of quantum theory's longstanding basic difficulties.
Author: Hans A. Bethe
Publisher: Springer Science & Business Media
ISBN: 3662128691
Category : Science
Languages : en
Pages : 375
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Book Description
Nearly all of this book is taken from an article prepared for a volume of the Encyclopedia of Physics. This article, in turn, is partly based on Dr. Norbert Rosenzweig's translation of an older article on the same subject, written by one of us (H.A.B.) about 25 years ago for the Geiger-Scheel Handbuch der Physik. To the article written last year we have added some Addenda and Errata. These Addenda and Errata refer back to some of the 79 sections of the main text and contain some misprint corrections, additional references and some notes. The aim of this book is two-fold. First, to act as a reference work on calcu lations pertaining to hydrogen-like and helium-like atoms and their comparison with experiments. However, these calculations involve a vast array of approximation methods, mathematical tricks and physical pictures, which are also useful in the application of quantum mechanics to other fields. In many sections we have given more general discussions of the methods and physical ideas than is necessary for the study of the H- and He-atom alone. We hope that this book will thus at least partly fulfill its second aim, namely to be of some use to graduate students who wish to learn "applied quantum mechanics". A basic knowledge of the principles of quantum mechanics, such as given in the early chapters of Schiff's or Bohm's book, is presupposed.
Author: Shu Hotta
Publisher: Springer
ISBN: 9811076715
Category : Science
Languages : en
Pages : 629
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Book Description
This book introduces basic concepts of mathematical physics to chemists. Many textbooks and monographs of mathematical physics may appear daunting to them. Unlike other, related books, however, this one contains a practical selection of material, particularly for graduate and undergraduate students majoring in chemistry. The book first describes quantum mechanics and electromagnetism, with the relation between the two being emphasized. Although quantum mechanics covers a broad field in modern physics, the author focuses on a hydrogen(like) atom and a harmonic oscillator with regard to the operator method. This approach helps chemists understand the basic concepts of quantum mechanics aided by their intuitive understanding without abstract argument, as chemists tend to think of natural phenomena and other factors intuitively rather than only logically. The study of light propagation, reflection, and transmission in dielectric media is of fundamental importance. This book explains these processes on the basis of Maxwell equations. The latter half of the volume deals with mathematical physics in terms of vectors and their transformation in a vector space. Finally, as an example of chemical applications, quantum chemical treatment of methane is introduced, including a basic but essential explanation of Green functions and group theory. Methodology developed by the author will also prove to be useful to physicists.
Author: David A. B. Miller
Publisher: Cambridge University Press
ISBN: 1139471279
Category : Technology & Engineering
Languages : en
Pages : 575
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Book Description
If you need a book that relates the core principles of quantum mechanics to modern applications in engineering, physics, and nanotechnology, this is it. Students will appreciate the book's applied emphasis, which illustrates theoretical concepts with examples of nanostructured materials, optics, and semiconductor devices. The many worked examples and more than 160 homework problems help students to problem solve and to practise applications of theory. Without assuming a prior knowledge of high-level physics or classical mechanics, the text introduces Schrödinger's equation, operators, and approximation methods. Systems, including the hydrogen atom and crystalline materials, are analyzed in detail. More advanced subjects, such as density matrices, quantum optics, and quantum information, are also covered. Practical applications and algorithms for the computational analysis of simple structures make this an ideal introduction to quantum mechanics for students of engineering, physics, nanotechnology, and other disciplines. Additional resources available from www.cambridge.org/9780521897839.
Author: David J. Griffiths
Publisher: Cambridge University Press
ISBN: 1108103146
Category : Science
Languages : en
Pages : 512
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Book Description
Changes and additions to the new edition of this classic textbook include a new chapter on symmetries, new problems and examples, improved explanations, more numerical problems to be worked on a computer, new applications to solid state physics, and consolidated treatment of time-dependent potentials.
Author: Lucjan Piela
Publisher: Elsevier
ISBN: 0080466761
Category : Science
Languages : en
Pages : 1122
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Book Description
Ideas of Quantum Chemistry shows how quantum mechanics is applied to chemistry to give it a theoretical foundation. The structure of the book (a TREE-form) emphasizes the logical relationships between various topics, facts and methods. It shows the reader which parts of the text are needed for understanding specific aspects of the subject matter. Interspersed throughout the text are short biographies of key scientists and their contributions to the development of the field.Ideas of Quantum Chemistry has both textbook and reference work aspects. Like a textbook, the material is organized into digestable sections with each chapter following the same structure. It answers frequently asked questions and highlights the most important conclusions and the essential mathematical formulae in the text. In its reference aspects, it has a broader range than traditional quantum chemistry books and reviews virtually all of the pertinent literature. It is useful both for beginners as well as specialists in advanced topics of quantum chemistry. The book is supplemented by an appendix on the Internet.* Presents the widest range of quantum chemical problems covered in one book * Unique structure allows material to be tailored to the specific needs of the reader * Informal language facilitates the understanding of difficult topics
