ELEMENTS OF DISCRETE MATHEMATICS (2版)

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書名：Elements of Discrete Mathematics 2/e 作者：LIU 出版社：McGraw-Hill 出版日期：1985/00/00 ISBN：9780071005449 內容簡介 This book presents a selection of topics from set theory, combinatorics, graph theory, and algebra which were been considered as basic and useful to students in Applied Mathematics, Computer Seience, and Engineering. It's intended to be a textbook for a course in Discrete Mathematics at the sophomore-junior level, although it can also be used in a freshman-level course since the presentation does not assume any background beyond high-school mathematics. 目錄 1. Sets and Propositions 2. Computability and Formal Languages 3. Permutations, Combinations, and Discrete Probability 4. Relations and Functions 5. Graphs and Planar Graphs 6. Trees and Cut-Sets 7. Finite State Machines 8. Analysis of Algorithms 9. Discrete Numberic Functions and Generating Functions 10. Recurrence Relations and Recursive Algorithms 11. Groups and Rings 12. Boolean Algebras

Hydrogen Atom, The: Doorway to Quantum Physics, Its Symmetries and Radiative Shift (1版)

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【簡介】 This book provides a comprehensive exploration in the fundamental physics of the non-relativistic atom in terms of its symmetries. The book gives a complete treatment of the dynamical symmetries of the H atom and the use of these symmetries to determine energy levels and analytically calculate the first order radiative Lamb shift using group theory. Understanding radiative shifts is critical since measurement of the Lamb shift led to the development of quantum electrodynamics. The harmony between the mathematics and the physics is emphasised throughout the book. Through the lens of symmetry, it is possible to elucidate key features of the H atom is a way that is elegant, simple, and focuses on fundamentals.Understanding the hydrogen atom has been the gateway to the development of quantum physics for over 100 years. Both quantum mechanics and quantum electrodynamics were discovered by exploring the spectra of the H atom. This book outlines the key mathematical and physical behavior of the H atom, and its historical context, that led to these discoveries. The quantum behavior is related to the corresponding classical behavior and to the harmonic oscillator, the other fundamental central force system. Understanding the H atom, the most basic physical system, is a gateway to understanding much of quantum theory.

Selected Topics in Quantum Field Theory (1版)

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【簡介】 The book is based on a one-semester lecture course that the author taught at Charles University for more than ten years, as a follow-up to an introductory basic course. Its contents corresponds to an intermediate level of quantum field theory, and includes topics like regularization and renormalization methods, Cutkosky rules for imaginary part of loop diagrams, infrared divergences in quantum electrodynamics, renormalization group techniques, basics of quantum chromodynamics including the connection between unitarity and ghosts, asymptotic freedom, ABJ axial anomaly and trace anomaly.This book is aimed at any reader who has mastered techniques for evaluation of Feynman diagrams in field theory models up to the one-loop level. The accent is on detailed explicit calculations of tree-level and one-loop Feynman diagrams in quantum electrodynamics and quantum chromodynamics. In particular, the chapters devoted to the ABJ anomaly cover both its ultraviolet and infrared aspects, and display computational details in an extent not quite common in other competing texts available in current literature.

Nanoelectronics, Nanophotonics, and Quantum Technologies

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This timely compendium provides state-of-the-art articles covering research areas in Nanoelectronics, Nanophotonics and Quantum Technologies. Composed of contributions by renowned researchers from both the academia and industry, this useful reference text broadly illustrates relevant aspects of high-performance materials and emerging quantum and nanoscale devices for implementing high-speed electronic systems. Sample Chapter(s) Preface Microplastic Detection and Monitoring in Biological and Environmental Systems: A Mini Review of Techniques and Strategies Contents: Preface Microplastic Detection and Monitoring in Biological and Environmental Systems: A Mini Review of Techniques and Strategies (G Zeng, B Zhao, C Deng, C Zhu, M M-C Cheng and P-X Gao) Correlated Electrons and Magnetism in Double Perovskites (G W Fernando, S Banerjee and R M Geilhufe) Application of Semiconductor Optical Amplifiers in Phase-Shifted Optical Transmission (N K Dutta) Evaluating the Performance of Artificial Neural Networks with TiO2, ZnO, and HfO2 Memristors: Ideal, Degraded, and Refresh-Enhanced States (A A Kausani, C Ding and M Anwar) All-Optical Encryption and Decryption Using Quantum Dot Semiconductor Optical Amplifiers with Two Photon Absorption (S Thapa, S Fan, X Zhang and N K Dutta) Highly Nonlinear Chalcogenide Tapered Waveguides for Mid-Infrared Supercontinuum Generation (A Rahman, S Thapa and N K Dutta) Quaternary NAND Gate Simulation Using SWS-FETS and Pseudo Logic Gates (B Saman, J Chandy and F C Jain) On-Chip Performance Monitoring for Security in Reconfigurable Hardware (N Pappas, A Legassey, F Jain and L Wang) Numerical Analysis of Single Event Transient Effects in Enhancement-Mode p-GaN/AlGaN/GaN High Electron Mobility Transistors (S Singha, Md M Hossain and S K Islam) Dual-Junction Photovoltaic for Implantable Biosensor Platform (A Legassey, R Gudlavalleti, F Papadimitrakopoulos and F Jain) Toward Converged Optical/MMWAVE Architectures for Simplified Base Stations in Ultra-Dense Wireless Networks: Recent Advances and Future Directions (L P Smith and M M Tentzeris) Fiber Diameter-Driven Modulation of Cell Behavior in DECM-Enriched Electrospun Scaffolds for Bone Tissue Engineering (S S Srinivasan, S Wijekoon, A Zennifer, S Abdulmalik and S G Kumbar) Hardware Architecture for Convolutional Neural Network with Memristor-Bridges (A A Kausani, C Ding and M Anwar) Advanced Electrothermal Modeling of Self-Heating in NWFET Transistors (Z Guesmi, F Nasri, H Salama and S Missaoui) Temperature Estimation in FinFET Devices Based on Effective Electron Mobility (H Bahri, N Jaba, F Nasri and K A Salama) Quantum Dot Transistor-Based Leaky Integrate-and-Fire Spiking Neurons (Z Li, F Jain and L Wang) An Approximate Multiplier for FPGA-based Izhikevich SNN Hardware Implementation (J Yang and L Wang) Scaling Integrated Chemical Sensor Arrays Using Pico-Drop Technology for Electronic Nose Applications (Md D Hossain, H Nyiera, A Veldman-Wilson, J Zhao and B G Willis) Fabricating a NOR Gate Using Quantum Dot Gate FETs (E Parent, A Legassey and F Jain) Magnesium Metal-Based MOSFET Devices for Biodegradable (A Legassey, N Pappas, B Drozdenko, M Brawner, J Chandy, L Wang and F Jain) Inkjet-Printed Memristor Device for Neuromorphic Computing: Fabrication, Modeling, and Reservoir Implementation (T Z Adry, S Gardner, S Eliza and M Haider) 3-Bit D Flip-Flop Using 8 State QDC-SWS Inverters (A Almalki, B Saman, R Gudlavalleti, J Chandy, E Heller and F C Jain) Quantum Interference Transistors (Quits) and Coupled Quantum Dot (QD) Structures with Tunneling Barriers for Multi-State Logic, In-Memory and Quantum Computing (F Jain, R H Gudlavalleti, J Chandy and E Heller) Compute-in-Memory Cell Using Quantum Dot-Nonvolatile Random Access Memory (R H Gudlavalleti, J Chandy, E Heller and F Jain) Author Index

Lectures on Quantum State Estimation (1版)

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【簡介】 This is the 7th book in the author’s ＂Lectures on ...＂ book series, and the first aimed at graduate-level readers (two additional graduate texts are in preparation). Primarily intended for physics graduate students, the book is accessible to advanced undergraduates and will appeal to students with a background in statistics and a keen interest in quantum physics. By the end of this book, readers will be well-prepared for working on research projects that require the drawing of inference from the noisy data collected in quantum experiments, as epitomized by quantum state estimation.The book begins with chapters on the basics of estimation theory and the basics of quantum theory. This includes, in particular, the roles played by the frequentist methods of statistics, which are crucial when planning an experiment, and the Bayesian methods, which are the tools for drawing inference from the actual data gathered. A central concept is that of optimal error regions that supplement the point estimators (＂best guesses＂) with the analogs of error bars in the high-dimensional parameter space; there is, in particular, the plausible region which comprises all point estimators supported by the data.Practical applications require the evaluation of high-dimensional integrals with the aid of Monte Carlo integration. For that, one needs to draw samples of quantum states from the relevant distributions, namely the priors and posteriors of Bayesian methodology. The book discusses the algorithms well-suited for this kind of sampling, which is central to the processing of real-life data.The book illustrates all concepts with pertinent examples and offers numerous exerciseswhich the readers can practice and perfect their skills with. The presentation is detailed and does not skip technical steps, which makes the book particularly valuable for self-studying readers and as textbook adopted by lecturers teaching courses on this or related topics. While the book is based on lecture notes developed for the author’s courses on quantum state estimation at NUS and BIT, this book also offers a comprehensive account of the concepts and methods developed in the author’s group at CQT and presents this material in textbook form for the first time.

The Solvay Science Project and the First Quantum Revolution (1版)

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【簡介】 This book presents a historical reconstruction of the first quantum revolution, from the first Solvay meeting (1911) to the fifth Physics Council (1927). The reader is guided through a journey to discover how a project envisioned by Ernest Solvay -- the Solvay Science Project -- contributed to this process. The authors investigate two of its main aspects: the five Physics Councils chaired by H A Lorentz and the subsidy programme of the International Solvay Institute of Physics (ISIP). Special attention is given to a point that escaped the attention of most science historians: how Solvay subsidies, granted by an International Committee, contributed to the validation of Bohr’s atomic theory, one of the most significant steps in the quantum revolution. More than ten beneficiaries of Solvay grants were named by Bohr in his Rutherford Memorial Lecture; six were awarded a Nobel Prize.The book contains a detailed analysis of the steps taken by ISIP’s Scientific Committee to prepare the Councils that marked the transition from classical to quantum physics. Emphasis is placed on the information provided by X-ray research and by C T R Wilson’s cloud chamber, two elements that paved the way to a recognition of the dual nature of light and matter, a fundamental characteristic of the quantum world.