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Quantum Theory of Materials

Author : Efthimios Kaxiras,John D. Joannopoulos
Publisher : Cambridge University Press
Release : 2019-05-31
Category : Science
ISBN : 9780521117111

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Book Quantum Theory of Materials Description/Summary:

An accessible overview of the concepts and tools essential to the physics of materials, with applications, exercises, and color figures.

Quantum Theory of Real Materials

Author : James R. Chelikowsky,Steven G. Louie
Publisher : Springer Science & Business Media
Release : 1996-02-29
Category : Science
ISBN : 0792396669

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Book Quantum Theory of Real Materials Description/Summary:

A Festschrift in honor of Professor Marvin L. Cohen This volume is a Festschrift in honor of Professor Marvin L. Cohen. The articles, contributed by leading researchers in condensed matter physics, high-light recent advances in the use of quantum theory to explain and predict properties of real materials. The invention of quantum mechanics in the 1920's provided detailed descriptions of the electronic structure of atoms. However, a similar understanding of solids has been achieved only in the past 30 years, owing to the complex electron-ion and electron electron interactions in these systems. Professor Cohen is a central figure in this achievement. His development of the pseudopotential and total energy methods provided an alternate route using computers for the exploration of solids and new materials even when they have not yet been synthesized. Professor Cohen's contributions to materials theory have been both fundamental and encompassing. The corpus of his work consists of over 500 papers and a textbook. His band structures for semiconductors are used worldwide by researchers in solid state physics and chemistry and by device engineers. Professor Cohen's own use of his theories has resulted in the determination of the electronic structure, optical properties, structural and vibrational properties, and superconducting properties of numerous condensed matter systems including semiconductors, metals, surfaces, interfaces, defects in solids, clusters, and novel materials such as the fullerides and nanotubes.

Computational Quantum Mechanics for Materials Engineers

Author : Levente Vitos
Publisher : Springer Science & Business Media
Release : 2007-08-10
Category : Technology & Engineering
ISBN : 9781846289514

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Book Computational Quantum Mechanics for Materials Engineers Description/Summary:

This is the only book to cover the most recent developments in applied quantum theory and their use in modeling materials properties. It describes new approaches to modeling disordered alloys and focuses on those approaches that combine the most efficient quantum-level theories of random alloys with the most sophisticated numerical techniques. In doing so, it establishes a theoretical insight into the electronic structure of complex materials such as stainless steels, Hume-Rothery alloys and silicates.

Advanced Quantum Mechanics

Author : RAINER DICK
Publisher : Springer
Release : 2016-07-01
Category : Science
ISBN : 9783319256757

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Book Advanced Quantum Mechanics Description/Summary:

In this updated and expanded second edition of a well-received and invaluable textbook, Prof. Dick emphasizes the importance of advanced quantum mechanics for materials science and all experimental techniques which employ photon absorption, emission, or scattering. Important aspects of introductory quantum mechanics are covered in the first seven chapters to make the subject self-contained and accessible for a wide audience. Advanced Quantum Mechanics, Materials and Photons can therefore be used for advanced undergraduate courses and introductory graduate courses which are targeted towards students with diverse academic backgrounds from the Natural Sciences or Engineering. To enhance this inclusive aspect of making the subject as accessible as possible Appendices A and B also provide introductions to Lagrangian mechanics and the covariant formulation of electrodynamics. This second edition includes an additional 62 new problems as well as expanded sections on relativistic quantum fields and applications of quantum electrodynamics. Other special features include an introduction to Lagrangian field theory and an integrated discussion of transition amplitudes with discrete or continuous initial or final states. Once students have acquired an understanding of basic quantum mechanics and classical field theory, canonical field quantization is easy. Furthermore, the integrated discussion of transition amplitudes naturally leads to the notions of transition probabilities, decay rates, absorption cross sections and scattering cross sections, which are important for all experimental techniques that use photon probes.

Physics in a New Era

Author : National Research Council,Division on Engineering and Physical Sciences,Board on Physics and Astronomy,Physics Survey Overview Committee
Publisher : National Academies Press
Release : 2001-07-15
Category : Science
ISBN : 9780309073424

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Book Physics in a New Era Description/Summary:

Physics at the beginning of the twenty-first century has reached new levels of accomplishment and impact in a society and nation that are changing rapidly. Accomplishments have led us into the information age and fueled broad technological and economic development. The pace of discovery is quickening and stronger links with other fields such as the biological sciences are being developed. The intellectual reach has never been greater, and the questions being asked are more ambitious than ever before. Physics in a New Era is the final report of the NRC's six-volume decadal physics survey. The book reviews the frontiers of physics research, examines the role of physics in our society, and makes recommendations designed to strengthen physics and its ability to serve important needs such as national security, the economy, information technology, and education.

Materials Modelling Using Density Functional Theory

Author : Feliciano Giustino
Publisher : Oxford University Press
Release : 2014
Category : Science
ISBN : 9780199662432

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Book Materials Modelling Using Density Functional Theory Description/Summary:

This book is an introduction to the modern quantum theory of materials, and primarily addresses seniorundergraduate and first-year graduate students in the physical and chemical sciences, and in materials science and engineering. As advanced materials are becoming ubiquitous in every aspect of our life, the use of quantum mechanics to understand, predict, and design new materials is experiencing a fast-paced growth in academic and industrial research.Following this trend, atomistic materials modelling is becoming an important component of undergraduate science education, however there is still no book on this subject written primarily for anundergraduate readership. The book explains the fundamental ideas of density functional theory, and how this theory can be used as a powerful method for explaining and even predicting the properties of materials with stunning accuracy. This book can be used either as a complement to the quantum theory of materials, or as a primer in modern techniques of computational materials modelling using quantum mechanics.

Quantum Theory of the Electron Liquid

Author : Gabriele Giuliani,Giovanni Vignale
Publisher : Cambridge University Press
Release : 2005-03-31
Category : Science
ISBN : 0521821126

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Book Quantum Theory of the Electron Liquid Description/Summary:

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An Introduction to Quantum Physics

Author : Stefanos Trachanas
Publisher : John Wiley & Sons
Release : 2018-01-31
Category : Science
ISBN : 9783527412471

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Book An Introduction to Quantum Physics Description/Summary:

This modern textbook offers an introduction to Quantum Mechanics as a theory that underlies the world around us, from atoms and molecules to materials, lasers, and other applications. The main features of the book are: Emphasis on the key principles with minimal mathematical formalism Demystifying discussions of the basic features of quantum systems, using dimensional analysis and order-of-magnitude estimates to develop intuition Comprehensive overview of the key concepts of quantum chemistry and the electronic structure of solids Extensive discussion of the basic processes and applications of light-matter interactions Online supplement with advanced theory, multiple-choice quizzes, etc.

Quantum Mechanics for Scientists and Engineers

Author : David A. B. Miller
Publisher : Cambridge University Press
Release : 2008-04-21
Category : Technology & Engineering
ISBN : 9781139471275

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Book Quantum Mechanics for Scientists and Engineers Description/Summary:

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.

Quantum Dynamics

Author : Eric R. Bittner
Publisher : CRC Press
Release : 2009-07-21
Category : Science
ISBN : 9781439882146

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Book Quantum Dynamics Description/Summary:

Even though time-dependent spectroscopic techniques continue to push the frontier of chemical physics, they receive scant mention in introductory courses and are poorly covered in standard texts. Quantum Dynamics: Applications in Biological and Materials Systems bridges the gap between what is traditionally taught in a one-semester quantum chemistr

Basic Aspects of the Quantum Theory of Solids

Author : Daniel I. Khomskii
Publisher : Cambridge University Press
Release : 2010-09-02
Category : Science
ISBN : 9781139491365

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Book Basic Aspects of the Quantum Theory of Solids Description/Summary:

Aimed at graduate students and researchers, this book covers the key aspects of the modern quantum theory of solids, including up-to-date ideas such as quantum fluctuations and strong electron correlations. It presents in the main concepts of the modern quantum theory of solids, as well as a general description of the essential theoretical methods required when working with these systems. Diverse topics such as general theory of phase transitions, harmonic and anharmonic lattices, Bose condensation and superfluidity, modern aspects of magnetism including resonating valence bonds, electrons in metals, and strong electron correlations are treated using unifying concepts of order and elementary excitations. The main theoretical tools used to treat these problems are introduced and explained in a simple way, and their applications are demonstrated through concrete examples.

Many-Body Quantum Theory in Condensed Matter Physics

Author : Henrik Bruus,Karsten Flensberg
Publisher : Oxford University Press
Release : 2004-09-02
Category : Science
ISBN : 9780198566335

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Book Many-Body Quantum Theory in Condensed Matter Physics Description/Summary:

The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.

Introduction to Quantum Mechanics

Author : S. M. Blinder
Publisher : Academic Press
Release : 2020-10-16
Category : Science
ISBN : 9780128223116

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Book Introduction to Quantum Mechanics Description/Summary:

Introduction to Quantum Mechanics, Second Edition presents an accessible, fully-updated introduction on the principles of quantum mechanics. The book outlines the fundamental concepts of quantum theory, discusses how these arose from classic experiments in chemistry and physics, and presents the quantum-mechanical foundations of many key scientific techniques. Chapters cover an introduction to the key principles underpinning quantum mechanics, differing types of molecular structures, bonds and behaviors, and applications of quantum mechanical theory across a number of important fields, including new chapters on Density Functional Theory, Statistical Thermodynamics and Quantum Computing. Drawing on the extensive experience of its expert author, this book is a reliable introduction to the principles of quantum mechanics for anyone new to the field, and a useful refresher on fundamental knowledge and latest developments for anyone more experienced in the field. Presents a fully updated accounting that reflects the most recent developments in Quantum Theory and its applications Includes new chapters on Special Functions, Density Functional Theory, Statistical Thermodynamics and Quantum Computers Presents additional problems and exercises to further support learning

Quantum Theory of Magnetism

Author : Robert M. White
Publisher : Springer Science & Business Media
Release : 2013-04-18
Category : Science
ISBN : 9783662023600

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Book Quantum Theory of Magnetism Description/Summary:

Although it is one of the oldest physical phenomena studied, magnetism con tinues to be an active and challenging subject. This is due to the fact that mag netic phenomena represent a complex application of quantum mechanics, statistical physics, and electromagnetism. As new magnetic materials are syn thesized and new experimental conditions realized, the very fundamentals of these subjects are expanded. Thus, the Kondo effect, like superconductivity, stimulated the development of many-body techniques; spin glasses with their competing interactions are leading to advances in statistical physics; and angle and spin-resolved photoemission is probing details of transition-metal electronic states never before possible. I have not tried to incorporate all the new developments in this subject since the first edition ten years ago. My purpose is still the same - to use linear response theory to establish a common conceptual basis for understanding a variety of magnetic phenomena. Many recent developments fit into this frame work and have been included.

Quantum Theory of the Solid State: An Introduction

Author : Lev Kantorovich
Publisher : Springer Science & Business Media
Release : 2004-05-31
Category : Science
ISBN : 1402021534

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Book Quantum Theory of the Solid State: An Introduction Description/Summary:

The book targets a broad readership. First of all, it targets young researchers (postgraduate students) in solid state physics (both physicists and theoretical chemists) as it contains a wide and comprehensive coverage of all important branches of the subject including an up-to-date survey of recent revolutionary advances in quantum mechanics which have made it possible not only to calculate many properties of molecules and solids in close agreement with experiment, but to make reliable predictions in cases when a direct experiment is not possible (e.g. the Earth core). Secondly, it should be a valuable asset to established researches in the areas of materials science, solid-state physics and chemistry due to very detailed explanations of a wide range of phenomena ranging from symmetry, lattice vibrations, electronic structure and superconductivity to magnetic and dielectric properties. Rigour and detail in explaining complicated mathematical techniques and in providing derivations when talking of various physical concepts are essential for those who would like to really understand things they have never had a chance to. Because of that and of the fact that the book contains a lot of material from different areas of solid-state physics retold from a single viewpoint, it should be indispensable for lecturers. Not only a number of courses, both general and specialised, should be possible to set up, but these courses may also be of a different level of difficulty ranging from undergraduate, postgraduate and then to highly advanced ones. This is because of a clear marking system adopted in the book. Hence, it should also be useful for advanced third- and fourth-year undergraduate students.

Quantum Theory

Author : Mihai V. Putz
Publisher : CRC Press
Release : 2013-06-06
Category : Science
ISBN : 9781466558861

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Book Quantum Theory Description/Summary:

Quantum Theory: Density, Condensation, and Bonding presents in a unitary manner the main actual theories of matter, mainly the density function theory (DFT) for fermions, the Bose-Einstein condensation (BEC) for bosons, and chemical bonding as a special realization of the first two so-called mixed fermionic-bosonic states. The book covers the modern and ultimately developed quantum theories involving the key concepts of density, condensation, and bonding. The book compiles, for the first time, the density functional theory with Bose-Einstein condensation and chemical bonding theories in a fresh and novel perspective. The book introduces modern theories of matter structure and explains the nature of chemical bonds under the consecrated and ultimate quantum paradigms of molecular structure. The book is divided into three parts, one for each level of studies: Part I: Primer Density Functional Theory is suitable for undergraduate introductory courses in physics, chemistry, and the natural sciences. Part II: Primer Density Functional Bose-Einstein Condensation Theory would be suitable for graduate- or master-level courses in physics or natural sciences. Part III: Modern Quantum Theories of Chemical Bonding is written for the post-graduate, master or doctorate courses on quantum structure of molecules in chemistry or natural sciences. Thus, this book is organized as a succession of three linked courses, from undergraduate, to graduate, to postgraduate levels in modern quantum theories of many-body systems. It covers three main concepts: density, condensation, and bonding and contains the most celebrated and challenging theories of matter. The book provides a fresh perspective on the quantum theory of structure of physico-chemical systems and will show students at all levels and researchers the way for future elaboration and discoveries toward the unification of the physical and chemical concepts of matter.

Quantum Theory of Scattering

Author : Ta-you Wu,Takashi Ohmura
Publisher : Courier Corporation
Release : 2014-01-15
Category : Science
ISBN : 9780486320694

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Book Quantum Theory of Scattering Description/Summary:

This volume addresses the broad formal aspects and applications of the quantum theory of scattering in atomic and nuclear collisions. An encyclopedic source of pioneering work, it serves as a text for students and a reference for professionals in the fields of chemistry, physics, and astrophysics. The self-contained treatment begins with the general theory of scattering of a particle by a central field. Subsequent chapters explore particle scattering by a non-central field, collisions between composite particles, the time-dependent theory of scattering, and nuclear reactions. An examination of dispersion relations concludes the text. Numerous graphs, tables, and footnotes illuminate each chapter, in addition to helpful appendixes and bibliographies.

Advanced Quantum Mechanics

Author : Rainer Dick
Publisher : Springer Science & Business Media
Release : 2012-01-11
Category : Science
ISBN : 9781441980779

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Book Advanced Quantum Mechanics Description/Summary:

Advanced Quantum Mechanics: Materials and Photons is a textbook which emphasizes the importance of advanced quantum mechanics for materials science and all experimental techniques which employ photon absorption, emission, or scattering. Important aspects of introductory quantum mechanics are covered in the first seven chapters to make the subject self-contained and accessible for a wide audience. The textbook can therefore be used for advanced undergraduate courses and introductory graduate courses which are targeted towards students with diverse academic backgrounds from the Natural Sciences or Engineering. To enhance this inclusive aspect of making the subject as accessible as possible, Appendices A and B also provide introductions to Lagrangian mechanics and the covariant formulation of electrodynamics. Other special features include an introduction to Lagrangian field theory and an integrated discussion of transition amplitudes with discrete or continuous initial or final states. Once students have acquired an understanding of basic quantum mechanics and classical field theory, canonical field quantization is easy. Furthermore, the integrated discussion of transition amplitudes naturally leads to the notions of transition probabilities, decay rates, absorption cross sections and scattering cross sections, which are important for all experimental techniques that use photon probes. Quantization is first discussed for the Schrödinger field before the relativistic Maxwell, Klein-Gordon and Dirac fields are quantized. Quantized Schrödinger field theory is not only important for condensed matter physics and materials science, but also provides the easiest avenue to general field quantization and is therefore also useful for students with an interest in nuclear and particle physics. The quantization of the Maxwell field is performed in Coulomb gauge. This is the appropriate and practically most useful quantization procedure in condensed matter physics, chemistry, and materials science because it naturally separates the effects of Coulomb interactions, exchange interactions, and photon scattering. The appendices contain additional material that is usually not found in standard quantum mechanics textbooks, including a completeness proof of eigenfunctions of one-dimensional Sturm-Liouville problems, logarithms of matrices, and Green's functions in different dimensions.

Quantum Mechanics

Author : Nouredine Zettili
Publisher : John Wiley & Sons
Release : 2009-02-17
Category : Science
ISBN : 9780470026786

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Book Quantum Mechanics Description/Summary:

Quantum Mechanics: Concepts and Applications provides a clear, balanced and modern introduction to the subject. Written with the student’s background and ability in mind the book takes an innovative approach to quantum mechanics by combining the essential elements of the theory with the practical applications: it is therefore both a textbook and a problem solving book in one self–contained volume. Carefully structured, the book starts with the experimental basis of quantum mechanics and then discusses its mathematical tools. Subsequent chapters cover the formal foundations of the subject, the exact solutions of the Schrödinger equation for one and three dimensional potentials, time–independent and time–dependent approximation methods, and finally, the theory of scattering. The text is richly illustrated throughout with many worked examples and numerous problems with step–by–step solutions designed to help the reader master the machinery of quantum mechanics. The new edition has been completely updated and a solutions manual is available on request. Suitable for senior undergradutate courses and graduate courses.

Quantum Physics of Matter

Author : Alan Durrant
Publisher : CRC Press
Release : 2000-01-01
Category : Science
ISBN : 0750307218

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Book Quantum Physics of Matter Description/Summary:

Quantum Physics of Matter explores the way in which quantum physics determines the properties of materials. The quantum physics of solids, for example, dictates whether they are good insulators, conductors, semiconductors, or even superconductors. At a deeper level, it explores how the quantum physics of nuclei and elementary particles determines the stability of matter and hence the range of substances that came into existence through the big bang and the evolution of stars.