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Author: Masahito Hayashi
Publisher: Springer
ISBN: 3319449060
Category : Science
Languages : en
Pages : 357
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Book Description
This book explains the group representation theory for quantum theory in the language of quantum theory. As is well known, group representation theory is very strong tool for quantum theory, in particular, angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, quark model, quantum optics, and quantum information processing including quantum error correction. To describe a big picture of application of representation theory to quantum theory, the book needs to contain the following six topics, permutation group, SU(2) and SU(d), Heisenberg representation, squeezing operation, Discrete Heisenberg representation, and the relation with Fourier transform from a unified viewpoint by including projective representation. Unfortunately, although there are so many good mathematical books for a part of six topics, no book contains all of these topics because they are too segmentalized. Further, some of them are written in an abstract way in mathematical style and, often, the materials are too segmented. At least, the notation is not familiar to people working with quantum theory. Others are good elementary books, but do not deal with topics related to quantum theory. In particular, such elementary books do not cover projective representation, which is more important in quantum theory. On the other hand, there are several books for physicists. However, these books are too simple and lack the detailed discussion. Hence, they are not useful for advanced study even in physics. To resolve this issue, this book starts with the basic mathematics for quantum theory. Then, it introduces the basics of group representation and discusses the case of the finite groups, the symmetric group, e.g. Next, this book discusses Lie group and Lie algebra. This part starts with the basics knowledge, and proceeds to the special groups, e.g., SU(2), SU(1,1), and SU(d). After the special groups, it explains concrete applications to physical systems, e.g., angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, and quark model. Then, it proceeds to the general theory for Lie group and Lie algebra. Using this knowledge, this book explains the Bosonic system, which has the symmetries of Heisenberg group and the squeezing symmetry by SL(2,R) and Sp(2n,R). Finally, as the discrete version, this book treats the discrete Heisenberg representation which is related to quantum error correction. To enhance readers' undersnding, this book contains 54 figures, 23 tables, and 111 exercises with solutions.
Author: Masahito Hayashi
Publisher: Springer
ISBN: 3319449060
Category : Science
Languages : en
Pages : 357
Get Book Here
Book Description
This book explains the group representation theory for quantum theory in the language of quantum theory. As is well known, group representation theory is very strong tool for quantum theory, in particular, angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, quark model, quantum optics, and quantum information processing including quantum error correction. To describe a big picture of application of representation theory to quantum theory, the book needs to contain the following six topics, permutation group, SU(2) and SU(d), Heisenberg representation, squeezing operation, Discrete Heisenberg representation, and the relation with Fourier transform from a unified viewpoint by including projective representation. Unfortunately, although there are so many good mathematical books for a part of six topics, no book contains all of these topics because they are too segmentalized. Further, some of them are written in an abstract way in mathematical style and, often, the materials are too segmented. At least, the notation is not familiar to people working with quantum theory. Others are good elementary books, but do not deal with topics related to quantum theory. In particular, such elementary books do not cover projective representation, which is more important in quantum theory. On the other hand, there are several books for physicists. However, these books are too simple and lack the detailed discussion. Hence, they are not useful for advanced study even in physics. To resolve this issue, this book starts with the basic mathematics for quantum theory. Then, it introduces the basics of group representation and discusses the case of the finite groups, the symmetric group, e.g. Next, this book discusses Lie group and Lie algebra. This part starts with the basics knowledge, and proceeds to the special groups, e.g., SU(2), SU(1,1), and SU(d). After the special groups, it explains concrete applications to physical systems, e.g., angular momentum, hydrogen-type Hamiltonian, spin-orbit interaction, and quark model. Then, it proceeds to the general theory for Lie group and Lie algebra. Using this knowledge, this book explains the Bosonic system, which has the symmetries of Heisenberg group and the squeezing symmetry by SL(2,R) and Sp(2n,R). Finally, as the discrete version, this book treats the discrete Heisenberg representation which is related to quantum error correction. To enhance readers' undersnding, this book contains 54 figures, 23 tables, and 111 exercises with solutions.
Author: Marcel Van de Voorde
Publisher: John Wiley & Sons
ISBN: 3527679227
Category : Technology & Engineering
Languages : en
Pages : 756
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Book Description
Controlling the properties of materials by modifying their composition and by manipulating the arrangement of atoms and molecules is a dream that can be achieved by nanotechnology. As one of the fastest developing and innovative -- as well as well-funded -- fields in science, nanotechnology has already significantly changed the research landscape in chemistry, materials science, and physics, with numerous applications in consumer products, such as sunscreens and water-repellent clothes. It is also thanks to this multidisciplinary field that flat panel displays, highly efficient solar cells, and new biological imaging techniques have become reality. This second, enlarged edition has been fully updated to address the rapid progress made within this field in recent years. Internationally recognized experts provide comprehensive, first-hand information, resulting in an overview of the entire nano-micro world. In so doing, they cover aspects of funding and commercialization, the manufacture and future applications of nanomaterials, the fundamentals of nanostructures leading to macroscale objects as well as the ongoing miniaturization toward the nanoscale domain. Along the way, the authors explain the effects occurring at the nanoscale and the nanotechnological characterization techniques. An additional topic on the role of nanotechnology in energy and mobility covers the challenge of developing materials and devices, such as electrodes and membrane materials for fuel cells and catalysts for sustainable transportation. Also new to this edition are the latest figures for funding, investments, and commercialization prospects, as well as recent research programs and organizations.
Author: Jun’ichi Sone
Publisher: Springer
ISBN: 4431564292
Category : Technology & Engineering
Languages : en
Pages : 337
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Book Description
This book gives a state-of-the-art view by recognized researchers of the nanotechnologies required for future integrated systems leading to innovations in energy, the environment, and biotechnologies. Nanostructures that would be difficult to form using the current semiconductor technology will be realized using a combination of bottom-up and top-down processes, including hybrid nanostructures made of inorganic and organic/biological materials. Bio-sensing, imaging, and cell or molecular manipulation are discussed in Chapters 2–7. The acquisition of basic knowledge on the cellular level will lead to curing serious diseases. Also, nanofabrication technologies, discussed in Chapters 8–15, will lead to next-generation solar cells, secondary batteries, and advanced electronic circuits using nanostructured materials, thus providing solutions for serious energy and environment issues. Prospective readers of this book include graduate students as well as researchers and engineers working in this field.
Author: Rainer Waser
Publisher: John Wiley & Sons
ISBN: 3527409270
Category : Technology & Engineering
Languages : en
Pages : 1041
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Book Description
Fachlich auf höchstem Niveau, visuell überzeugend und durchgängig farbig illustriert: Das ist die neue Auflage der praxisbewährten Einführung in spezialisierte elektronische Materialien und Bauelemente aus der Informationstechnologie. Über ein Drittel des Inhalts ist neu, alle anderen Beiträge wurden gründlich überarbeitet und aktualisiert.
Author: Kaoru Ohno
Publisher: Springer Science & Business Media
ISBN: 3540745572
Category : Technology & Engineering
Languages : en
Pages : 344
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Book Description
The future focus of nanotechnology will be on realizing new functions over greater scales. This book describes the creation of nano- and microscale structures and functions by controlling temperature, light, pressure, or carrier injections. It includes novel nano-integration technologies such as self-organization of surface nanostructures, quantum well structures, microlithography and micromachines, as well as new techniques of laser spectroscopy and new computational methods.
Author: Ping Sheng
Publisher: CRC Press
ISBN: 0203390288
Category : Technology & Engineering
Languages : en
Pages : 268
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Book Description
Nanoscience and technology is a rapidly developing area of research in physics, chemistry, and materials. This volume comsists of papers presented at the Advanced Study Institute in Hong Kong that explore developments in novel structures in phenomena of nanostructured materials. The topics include: two-dimensional nanoclusters on met
Author: Kiran Chaudhary
Publisher: CRC Press
ISBN: 1000523551
Category : Business & Economics
Languages : en
Pages : 276
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Book Description
Big Data Analytics: Applications in Business and Marketing explores the concepts and applications related to marketing and business as well as future research directions. It also examines how this emerging field could be extended to performance management and decision-making. Investment in business and marketing analytics can create value through proper allocation of resources and resource orchestration process. The use of data analytics tools can be used to diagnose and improve performance. The book is divided into five parts. The first part introduces data science, big data, and data analytics. The second part focuses on applications of business analytics including: Big data analytics and algorithm Market basket analysis Anticipating consumer purchase behavior Variation in shopping patterns Big data analytics for market intelligence The third part looks at business intelligence and features an evaluation study of churn prediction models for business Intelligence. The fourth part of the book examines analytics for marketing decision-making and the roles of big data analytics for market intelligence and of consumer behavior. The book concludes with digital marketing, marketing by consumer analytics, web analytics for digital marketing, and smart retailing. This book covers the concepts, applications and research trends of marketing and business analytics with the aim of helping organizations increase profitability by improving decision-making through data analytics.
Author: Tomas Kliestik
Publisher: MDPI
ISBN: 3036505369
Category : Business & Economics
Languages : en
Pages : 164
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Book Description
The purpose of the Special Issue “Quantitative Methods in Economics and Finance” of the journal Risks was to provide a collection of papers that reflect the latest research and problems of pricing complex derivates, simulation pricing, analysis of financial markets, and volatility of exchange rates in the international context. This book can be used as a reference for academicians and researchers who would like to discuss and introduce new developments in the field of quantitative methods in economics and finance and explore applications of quantitative methods in other business areas.
Author: Shiv Kant Prasad
Publisher: Discovery Publishing House
ISBN: 9788183562928
Category : Nanotechnology
Languages : en
Pages : 320
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Book Description
Author: J. Loughlan
Publisher: CRC Press
ISBN: 1351094203
Category : Science
Languages : en
Pages : 1039
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Book Description
This volume contains the papers presented at the Fourth International Conference of Thin-Walled Structures (ICTWS4), and contains 110 papers which, collectively, provide a comprehensive state-of-the-art review of the progress made in research, development and manufacture in recent years in thin-walled structures.The presentations at the conference had representation form 35 different countries and their topical areas of interest included aeroelastic response, structural-acoustic coupling, aerospace structures, analysis, design, manufacture, cold-formed structures, cyclic loading, dynamic loading, crushing, energy absorption, fatigue, fracture, damage tolerance, plates, stiffened panels, plated structures, polymer matrix composite members, sandwich structures, shell structures, thin-walled beams, columns and vibrational response. The range of applications of thin-walled structures has become increasingly diverse with a considerable deployment of thin-walled structural elements and systems being found in a wide range of areas within Aeronautical, Automotive, Civil, Mechanical, Chemical and Offshore Engineering fields. This volume is an extremely useful reference volume for researchers and designers working within a wide range of engineering disciplines towards the design, development and manufacture of efficient thin-walled structural systems.
