Group Representation for Quantum Theory


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.




Theory of Quantum Computation, Communication, and Cryptography


Book Description

This book constitutes revised selected papers from the 7th Conference on Theory of Quantum Computation, Communication, and Cryptography, TQC 2012, held in Tokyo, Japan, in May 2012. The 12 papers presented were carefully reviewed and selected for inclusion in this book. They contain original research on the rapidly growing, interdisciplinary field of quantum computation, communication and cryptography. Topics addressed are such as quantum algorithms, quantum computation models, quantum complexity theory, simulation of quantum systems, quantum programming languages, quantum cryptography, quantum communication, quantum estimation, quantum measurement, quantum tomography, completely positive maps, decoherence, quantum noise, quantum coding theory, fault-tolerant quantum computing, entanglement theory, and quantum teleportation.




Nanotechnology for Smart Concrete


Book Description

Nanomaterials can markedly improve the mechanical properties of concrete, as well as reduce the porosity and enhance the durability of concrete. The application of nanotechnology in concrete is still in its infancy. However, an ever-growing demand for ultra-high-performance concrete and recurring environmental pollution caused by ordinary Portland cement has encouraged engineers to exploit nanotechnology in the construction industry. Nanotechnology for Smart Concrete discusses the advantages and applications of nanomaterials in the concrete industry, including high-strength performance, microstructural improvement, self-healing, energy storage, and coatings. The book Analyses the linkage of concrete materials with nanomaterials and nanostructures Discusses the applications of nanomaterials in the concrete industry, including energy storage in green buildings, anti-corrosive coatings, and inhibiting pathogens and viruses Covers self-healing concrete Explores safety considerations, sustainability, and environmental impact of nanoconcrete Includes an appendix of solved questions This comprehensive and innovative text serves as a useful reference for upper-level undergraduate students, graduate students, and professionals in the fields of Civil and Construction Engineering, Materials Science and Engineering, and Nanomaterials. Dr. Ghasan Fahim Huseien is a research fellow at the Department of Building, School of Design and Environment, National University of Singapore, Singapore. He received his PhD degree from the University of Technology Malaysia in 2017. Dr. Huseien has over 5 years of Applied R&D and 10 years of experience in manufacturing smart materials for sustainable building and smart cities. He has expertise in Advanced Sustainable Construction Materials covering Civil Engineering, Environmental Sciences and Engineering. He has authored and co-authored 50+ publications and technical reports, 3 books, and 15 book chapters, and participated in 25 national and international conferences/workshops. He is a peer reviewer for several international journals as well as Master’s and PhD students. He is a member of the Concrete Society of Malaysia and the American Concrete Institute. Dr. Nur Hafizah Abd Khalid is a Senior Lecturer at the School of Civil Engineering, Universiti Teknologi, Malaysia (UTM), and is a research member of the Construction Material Research Group (CMRG). She is currently a Council Member of the Concrete Society Malaysia (CSM). She earned her Master’s degree on structure and materials in 2011 from the Universiti Teknologi Malaysia. She received a Young Women Scientist Award (representing Malaysia) in 2014 in South Korea by KWSE/APNN. She is currently appointed as an Inviting Researcher at Hunan University, China, funded under the Talented Young Scientist Program (TYSP). Her research interests focus on concrete structural systems, advanced concrete technology (green concrete technology and fibre reinforced concrete), civil engineering materials, polymer composites, and bio-composites. Professor Dr. Jahangir Mirza has over 35 years of Applied Research and Development (R&D) as well as teaching experience. He has expertise in Advanced Sustainable Construction Materials covering Civil Engineering, Environmental Sciences and Engineering, Chemistry, Earth Sciences, Geology, and Architecture departments. He has been a Senior Scientist at the Research Institute of Hydro-Quebec (IREQ), Montreal, Canada since 1985. He has been a Visiting Research Professor for the Environmental Engineering program at the University of Guelph in Ontario, Canada since 2018.




Reversible and DNA Computing


Book Description

Master the subjects of reversible computing and DNA computing with this expert volume Reversible and DNA Computing offers readers new ideas and technologies in the rapidly developing field of reversible computing. World-renowned researcher and author Hafiz Md. Hasan Babu shows readers the fundamental concepts and ideas necessary to understand reversible computing, including reversible circuits, reversible fault tolerant circuits, and reversible DNA circuits. Reversible and DNA Computing contains a practical approach to understanding energy-efficient DNA computing. In addition to explaining the foundations of reversible circuits, the book covers topics including: Advanced logic design An introduction to the fundamentals of reversible computing Advanced reversible logic synthesis Reversible fault tolerance Fundamentals of DNA computing Reversible DNA logic synthesis DNA logic design This book is perfect for undergraduate and graduate students in the physical sciences and engineering, as well as those working in the field of quantum computing. It belongs on the bookshelves of anyone with even a passing interest in nanotechnology, energy-efficient computing, and DNA computing.




Micro/Nano Science and Engineering


Book Description

Selected, peer reviewed papers from the Joint International Conference on Nanoscience, Engineering and Management (BOND21), August 19-21, 2013, Penang, Malaysia







Mechanics of Nanomaterials and Polymer Nanocomposites


Book Description

This book delves into the mechanical analysis of the nanomaterials and polymer nanocomposite materials by shedding light on the mechanical performance of nanomaterials, elasticity and viscoelasticity behaviors of polymer nanocomposites, the laminate and sandwich theories, durability and fatigue behaviors. The chapters in this book bring together leading experts in the field to provide an update of the latest scientific results and a fully holistic understanding of the mechanical performance of these materials. The book interests the academic and industrial researchers, R&D managers and engineers working in material and nanomaterial sciences, polymer science and technology, automotive and aerospace engineering, construction and sporting goods, etc. The book also targets the readers that may have no prior knowledge about composite and nanocomposite materials.




PHealth 2013


Book Description

Health technologies for personalized medicine have become important enablers for monitoring and treatment in both inpatient and outpatient care. The benefits of these technologies lead not only to improvements in medical services quality for all stakeholders, but also to new healthcare business models, promising a better containment of healthcare costs. This book presents the proceedings of the 2013 pHealth Conference, held in Tallinn, Estonia, in June 2013. The pHealth conferences have established themselves as the leading international conference series on wearable or implantable micro and nanotechnologies for personalized medicine and health service provision. pHealth 2013 proceeds in bringing together a dynamic emerging professional community from Europe and beyond. The keynotes, invited speeches and oral presentations in this book address these wearable technologies, and also other topics such as health games, terminologies and ontologies, medical decision support, monitoring of environmental and living conditions, as well as social and ethical issues. We are at the beginning of what promises to be revolutionary change in healthcare offering significant opportunities for both patients and healthcare providers. This book will therefore be of interest to the entire healthcare industry.







Iron Oxides


Book Description

Compiling all the information available on the topic, this ready reference covers all important aspects of iron oxides. Following a preliminary overview chapter discussing iron oxide minerals along with their unique structures and properties, the text goes on to deal with the formation and transformation of iron oxides, covering geological, synthetic, and biological formation, as well as various physicochemical aspects. Subsequent chapters are devoted to characterization techniques, with a special focus on X-ray-based methods, magnetic measurements, and electron microscopy alongside such traditional methods as IR/Raman and Mössbauer spectroscopy. The final section mainly concerns exciting new applications of magnetic iron oxides, for example in medicine as microswimmers or as water filtration systems, while more conventional uses as pigments or in biology for magnetoreception illustrate the full potential. A must-read for anyone working in the field.