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A Geometrical Approach to Physics
Par David A. Burton, Adam Noble. 2024
This book provides an accessible introduction to using the tools of differential geometry to tackle a wide range of topics…
in physics, with the concepts developed through numerous examples to help the reader become familiar with the techniques.Physical applications are used to develop the techniques and demonstrate their wide-ranging applicability. Formalism is introduced sparingly and step-by-step, where it is needed, and chapters contain exercises for readers to test their understanding. Worked solutions to the exercises are included.It is an ideal textbook for advanced undergraduate or postgraduate courses on mathematical methods for physicists, for students whose background is in physics rather than mathematics. It is assumed that the reader has no prior knowledge of mathematical methods beyond the content of a standard undergraduate physics degree.The purpose of the book is to act as a ‘gateway’ to more advanced books on the applications of differential geometry in physics. It will also help the reader to better appreciate modern physics research that makes use of differential geometry, and the common features that permeate the discipline as a whole.Key Features: Presents a light and accessible treatment. Can be used as a textbook for a short course on mathematical methods for physicists. Accessible to advanced undergraduates and postgraduates whose background is in physics, not mathematics. David A. Burton received his PhD from Lancaster University, UK, in 2000 and was appointed Lecturer in Physics there in 2005. He is currently Senior Lecturer in Physics at Lancaster. He began his research career in relativistic continuum mechanics and gravitational physics before turning to fluid-structure interactions (in particular, vortex-induced vibration) and, in later years, to relativistic laser-plasma interactions.Adam Noble received his PhD in 2006, also from Lancaster University, and has since held postdoctoral positions at Lancaster and the University of Strathclyde, Scotland, where he is currently a Research Fellow. His interests lie at the interface of physics with geometry, in particular electrodynamics of intense fields, plasma physics and particle physics.The authors maintain a long-standing collaboration and, over the years, have worked on a number of topics connecting electromagnetics, gravitation and plasma physics, including gravitational Sagnac interferometry, relativistic wave-breaking in plasmas, radiation reaction in relativistic plasmas and charged particle beams, and the use of laser-wakefield accelerators in searches for light, weakly-interacting, candidates for dark matter.Proceedings of the International Conference on Cybersecurity, Situational Awareness and Social Media: Cyber Science 2023; 03–04 July; University of Aalborg, Copenhagen, Denmark (Springer Proceedings in Complexity)
Par Cyril Onwubiko, Pierangelo Rosati, Aunshul Rege, Arnau Erola, Xavier Bellekens, Hanan Hindy, Martin Gilje Jaatun. 2024
This book highlights advances in cyber security, cyber situational awareness (CyberSA), artificial intelligence (AI) and social media. It brings together…
original discussions, ideas, concepts and outcomes from research and innovation from multidisciplinary experts. It offers topical, timely and emerging original innovations and research results in cyber situational awareness, security analytics, cyber physical systems, blockchain technologies, machine learning, social media and wearables, protection of online digital service, cyber incident response, containment, control and countermeasures (CIRC3). The theme of Cyber Science 2023 is multidisciplinary and multidimensional cyber security. And through call for papers, we solicit original contributions advancing research in artificial intelligence, machine learning, blockchain, cyber security, social media, cyber incident response and cyber insurance.Silicon-Based High-Sensitivity Broadband Receiver
Par Xiaojun Bi. 2024
This book presents various design theories and methodologies for silicon-based high-sensitivity broadband receivers, including millimeter-wave radiometer chips and photoelectric receivers,…
which are core elements in imaging systems, data centers, and telecommunication infrastructures. As a key module in application systems, the high-sensitivity broadband receiver, not only attracts the attention of engineers and researchers in the radio-frequency and optoelectronic fields, but also garners significant interest from other disciplines, including optics, communications, and security. The book introduces various silicon-based critical design technologies aim to overcome the limitations inherent in silicon devices, distinctly enhancing sensitivity with a broad bandwidth. These innovative design methodologies, initially proposed and subsequently validated through meticulous measurements, represent a pioneering contribution. The book provides readers with detailed insights into design intricacies and considerations. Its audience includes undergraduate and graduate students with a specific interest in RF/optoelectronic receiver technology, along with researchers and engineers engaged in the study of imaging systems, data centers, or other communication applications.Heat Carriers in Liquids: An Introduction (SpringerBriefs in Physics)
Par Jaeyun Moon. 2024
This book provides a succinct overview of recent progress in characterization of heat carriers describing atomic motion in liquids. Unlike…
solids and gases where heat carriers are typically described by phonons and real atomic particles, the nature of effective heat carriers in liquids is still elusive. The emphasis is on two widely used spectral methods to describe heat carriers: instantaneous normal modes and velocity autocorrelation functions. Various bulk materials properties from a bottom-up perspective using these spectra are presented in detail. This book is an ideal introduction to the field for graduate students and young researchers.An astonishing exploration of planet formation and the origins of life by one of the world’s most innovative planetary geologists.In…
1959, the Soviet probe Luna 3 took the first photos of the far side of the moon. Even in their poor resolution, the images stunned scientists: the far side is an enormous mountainous expanse, not the vast lava-plains seen from Earth. Subsequent missions have confirmed this in much greater detail.How could this be, and what might it tell us about our own place in the universe? As it turns out, quite a lot.Fourteen billion years ago, the universe exploded into being, creating galaxies and stars. Planets formed out of the leftover dust and gas that coalesced into larger and larger bodies orbiting around each star. In a sort of heavenly survival of the fittest, planetary bodies smashed into each other until solar systems emerged. Curiously, instead of being relatively similar in terms of composition, the planets in our solar system, and the comets, asteroids, satellites and rings, are bewitchingly distinct. So, too, the halves of our moon.In When the Earth Had Two Moons, esteemed planetary geologist Erik Asphaug takes us on an exhilarating tour through the farthest reaches of time and our galaxy to find out why. Beautifully written and provocatively argued, When the Earth Had Two Moons is not only a mind-blowing astronomical tour but a profound inquiry into the nature of life here—and billions of miles from home.The Red Limit: The Search for the Edge of the Universe
Par Timothy Ferris. 1983
For centuries, it was assumed that our universe was static. In the late 1920s, astronomers defeated this assumption with a…
startling new discovery. From Earth, the light of distant galaxies appeared to be red, meaning that those galaxies were receding from us. This led to the revolutionary realization that the universe is expanding. The Red Limit is the tale of this discovery, its ramifications, and the passionately competitive astronomers who charted the past, present, and future of the cosmos.Computational Physics: Problem Solving with Python
Par Rubin H. Landau, Manuel J. Páez, Cristian C. Bordeianu. 2024
Computational Physics The classic in the field for more than 25 years, now with increased emphasis on data science and…
new chapters on quantum computing, machine learning (AI), and general relativity Computational physics combines physics, applied mathematics, and computer science in a cutting-edge multidisciplinary approach to solving realistic physical problems. It has become integral to modern physics research because of its capacity to bridge the gap between mathematical theory and real-world system behavior. Computational Physics provides the reader with the essential knowledge to understand computational tools and mathematical methods well enough to be successful. Its philosophy is rooted in “learning by doing”, assisted by many sample programs in the popular Python programming language. The first third of the book lays the fundamentals of scientific computing, including programming basics, stable algorithms for differentiation and integration, and matrix computing. The latter two-thirds of the textbook cover more advanced topics such linear and nonlinear differential equations, chaos and fractals, Fourier analysis, nonlinear dynamics, and finite difference and finite elements methods. A particular focus in on the applications of these methods for solving realistic physical problems. Readers of the fourth edition of Computational Physics will also find: An exceptionally broad range of topics, from simple matrix manipulations to intricate computations in nonlinear dynamicsA whole suite of supplementary material: Python programs, Jupyter notebooks and videos Computational Physics is ideal for students in physics, engineering, materials science, and any subjects drawing on applied physics.Introduction to Simulations of Semiconductor Lasers
Par Marek Wartak. 2024
Simulations play an increasingly important role not only in scientific research but also in engineering developments. Introduction to Simulations of…
Semiconductor Lasers introduces senior undergraduates to the design of semiconductor lasers and their simulations. The book begins with explaining the physics and fundamental characteristics behind semiconductor lasers and their applications. It presumes little prior knowledge, such that only a familiarity with the basics of electromagnetism and quantum mechanics is required. The book transitions from textbook explanations, equations, and formulas to ready-to-run numeric codes that enable the visualization of concepts and simulation studies. Multiple chapters are supported by MATLAB code which can be accessed by the students. These are ready-to-run, but they can be modified to simulate other structures if desired. Providing a unified treatment of the fundamental principles and physics of semiconductors and semiconductor lasers, Introduction to Simulations of Semiconductor Lasers is an accessible, practical guide for advanced undergraduate students of Physics, particularly for courses in laser physics.Key Features: A unified treatment of fundamental principles Explanations of the fundamental physics of semiconductor Explanations of the operation of semiconductor lasers An historical overview of the subjectElectromagnetic Metamaterials and Metasurfaces: From Theory To Applications
Par Long Li, Yan Shi, Tie Jun Cui. 2024
The subject of this book is the fast-developing area of research known as metamaterials/metasurfaces and some of their engineering applications.…
This book comprehensively presents the state of the art of metamaterials/metasurfaces from theory to applications. The theoretical side includes electrodynamics of left-handed medium, generalized Snell's law, digital coding metamaterials/metasurfaces, group theory of metamaterials, information metamaterials and metasurfaces, etc. On the application side, a wide range of design examples are discussed, including metamaterial antennas, electromagnetic interference, frequency selective surfaces, wireless power transmission and energy harvesting, cloaking and radar cross section reduction, orbital angular momentum, wireless communication, imaging, etc. The book provides researchers, engineers, and graduate students with a variety of new discoveries, results, information, and knowledge in the field of metamaterials and metasurfaces.This two-volume set LNCS 14509-14510, constitutes the refereed proceedings of the First International Conference on Artificial Intelligence Security and Privacy,…
AIS&P 2023, held in Guangzhou, China, during December 3–5, 2023.The 40 regular papers and 23 workshop papers presented in this two-volume set were carefully reviewed and selected from 115 submissions.Topics of interest include, e.g., attacks and defence on AI systems; adversarial learning; privacy-preserving data mining; differential privacy; trustworthy AI; AI fairness; AI interpretability; cryptography for AI; security applications.This two-volume set LNCS 14509-14510, constitutes the refereed proceedings of the First International Conference on Artificial Intelligence Security and Privacy,…
AIS&P 2023, held in Guangzhou, China, during December 3–5, 2023.The 40 regular papers and 23 workshop papers presented in this two-volume set were carefully reviewed and selected from 115 submissions. Topics of interest include, e.g., attacks and defence on AI systems; adversarial learning; privacy-preserving data mining; differential privacy; trustworthy AI; AI fairness; AI interpretability; cryptography for AI; security applications.Photonic Integrated Phased Array Technology
Par Tao Dong, Jingwen He, Yue Xu. 2024
This book primarily focuses on the authors’ research and practical achievements in the field of photonic integrated phased arrays in…
recent years. Firstly, a comprehensive introduction on the concept, operation principles, and research progress of photonic integrated phased arrays is introduced. Then, detailed explanations of the optical antenna and array design in photonic integrated phased arrays are given. Combined with design cases of silicon-based optical phased arrays with different scales, the design methods for achieving low sidelobes are deeply researched, and the test principle and design of photonic integrated phased arrays are elaborated. Finally, the design, implementation, and test of photonic integrated phased arrays are illustrated through a detailed case study on the development of a silicon-based optical phased array chip and verify its short-distance space optical communication based on the chip.This book is dedicated to integrating the theory, design, processing, and test cases of photonic integrated phased arrays, and it provides a valuable reference for researchers and designers in the field of optical phased array technology.Advanced Computational Applications of Geometric Algebra: First International Conference, ICACGA 2022, Denver, CO, USA, October 2-5, 2022, Proceedings (Lecture Notes in Computer Science #13771)
Par David W. Silva, Eckhard Hitzer, Dietmar Hildenbrand. 2024
This book constitutes the post-conference proceedings of the First International Conference on Advanced Computational Applications of Geometric Algebra, ICACGA 2022,…
held in Denver, CO, USA, during October 2-5, 2022. The 18 full papers presented in this book together with 12 abstracts of invited talks were carefully reviewed and selected from 24 submissions. The papers are grouped in the following topical sections: geometric applications; computer science applications; technological applications; and applications to physics and mathematics.Recent Trends in Cancer Therapeutics: Plasmonic Photothermal-Based Multimodal Cancer Therapy (Materials Horizons: From Nature to Nanomaterials)
Par Divya Khurana, Sanjeev Soni. 2024
This book describes the plasmonic photothermal-assisted multimodal cancer therapeutics in the area of cancer nanotechnology or cancer nanomedicine. This book…
covers the fundamentals of plasmonic photothermal cancer therapy as well as plasmonic photothermal mediated multimodal cancer therapy. The various steps involved in developing such therapeutic modality, viz. (a) the selection of suitable nanoparticles, (b) synthesis of multifunctional nanocomposite, (c) optimization of the photosensitizer and chemotherapeutic drug loadings, (d) characterization of the synthesized nanocomposite, and (e) therapeutic evaluations through novel tumor-tissue mimicking phantoms and the cancer cell lines are discussed in detail. Apart from the detailed description of therapeutic outcome, this book provides a step-by-step approach to develop a multifunctional nanocomposite for such therapeutics. Overall, this book provides simplified and in-depth information about cancer nanobiotechnology to the researchers and graduate students in subject areas of nanotechnology, biotechnology and pharmaceutics to develop and contribute to such multimodal cancer therapeutics.Loop Quantum Gravity for the Bewildered: The Self-Dual Approach Revisited
Par Sundance Bilson-Thompson. 2024
This second edition offers a comprehensive introduction to loop quantum gravity (LQG) in self-dual variables, including the necessary prerequisites. Additionally,…
it delves into various significant research areas that have emerged in recent years. New content (including an entirely new chapter dedicated to dynamics of quantum spacetime) explores the description of spin networks and spin-foams, their historical development as well as connections to tensor networks, BF theory, and emerging approaches including the spinorial representation of LQG, SU(2) coherent states, and group field theory. Furthermore, the book provides expanded appendices covering essential tools and concepts, such as the connection between information theory and entropy, and overviews of group theory and differential geometry. All topics are presented from a non-expert perspective, ensuring self-containment and accessibility. The primary aim of this second edition remains helping researchers, bewildered bythe vast array of topics within this rapidly growing field of quantum gravity, to gain a fundamental understanding of the current developments.Controllable Nonlinear Waves in Graded-Index Waveguides (SpringerBriefs in Applied Sciences and Technology)
Par Thokala Soloman Raju. 2024
This book highlights the dynamical behavior of self-similar waves in graded-index waveguides in (1+1)-dimensions and (2+1)-dimensions. The mechanism to control…
these optical similaritons by tailoring the tapering profile is presented. Various nonlinear waves like rogons, butterfly-shaped, and dromion-like waves and their controllable behavior are discussed in detail. The phenomenon of unbreakable Parity-Time symmetry of some of these waves has been delineated for different variety of solvable potentials. Compression of these exotic waves has been demonstrated for dispersion decreasing fiber and periodic management of dispersion and nonlinearity parameters. Competing cubic-quintic nonlinearity scenario and its potential implication on the dynamics of these similaritons has been described in detail. Symbiotic self-similar rogue waves have been discussed in (2+1)-dimensional garded-index waveguide. The book also includes numerical simulations that complement these analytical insights.This book describes the direct and inverse problems of the multidimensional Schrödinger operator with a periodic potential, a topic that…
is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues. It provides a detailed derivation of the asymptotic formulas for Bloch eigenvalues and Bloch functions in arbitrary dimensions while constructing and estimating the measure of the iso-energetic surfaces in the high-energy regime. Moreover, it presents a unique method proving the validity of the Bethe–Sommerfeld conjecture for arbitrary dimensions and arbitrary lattices. Using the perturbation theory constructed, it determines the spectral invariants of the multidimensional operator from the given Bloch eigenvalues. Some of these invariants are explicitly expressed by the Fourier coefficients of the potential, making it possible to determine the potential constructively using Bloch eigenvalues as input data. Lastly, the book presents an algorithm for the unique determination of the potential.This updated and significantly expanded third edition features an extension of this framework to all dimensions, offering a now complete theory of self-adjoint Schrödinger operators within periodic potentials. Drawing from recent advancements in mathematical analysis, this edition delves even deeper into the intricacies of the subject. It explores the connections between the multidimensional Schrödinger operator, periodic potentials, and other fundamental areas of mathematical physics. The book's comprehensive approach equips both students and researchers with the tools to tackle complex problems and contribute to the ongoing exploration of quantum phenomena.This book is part of a 2 volume book series that provides current, state-of-the-art knowledge, fundamentals of electrochemistry, design strategies,…
and future challenges in carbon-based materials for electrochemical energy production and storage devices. The key goals for nanocarbons based electrochemical devices are to provide safe operation, sustainability, high energy and power density, long working life, and reduced cost. This book describes the fundamentals and working principles of nanocarbons for basic to advanced applications for energy storage devices such as metal-ion batteries, supercapacitors, and flexible energy storage devices. The book is written by leading experts in these areas making this a suitable textbook for students and providing new directions to researchers and scientists working in science and technology areas.Korteweg–de Vries Flows with General Initial Conditions (Mathematical Physics Studies)
Par Shinichi Kotani. 2024
Large numbers of studies of the KdV equation have appeared since the pioneering paper by Gardner, Greene, Kruskal, and Miura…
in 1967. Most of those works have employed the inverse spectral method for 1D Schrödinger operators or an advanced Fourier analysis. Although algebraic approaches have been discovered by Hirota–Sato and Marchenko independently, those have not been fully investigated and analyzed. The present book offers a new approach to the study of the KdV equation, which treats decaying initial data and oscillating data in a unified manner. The author’s method is to represent the tau functions introduced by Hirota–Sato and developed by Segal–Wilson later in terms of the Weyl–Titchmarsh functions (WT functions, in short) for the underlying Schrödinger operators. The main result is stated by a class of WT functions satisfying some of the asymptotic behavior along a curve approaching the spectrum of the Schrödinger operators at +∞ in an order of -(n-1/2)for the nth KdV equation. This class contains many oscillating potentials (initial data) as well as decaying ones. Especially bounded smooth ergodic potentials are included, and under certain conditions on the potentials, the associated Schrödinger operators have dense point spectrum. This provides a mathematical foundation for the study of the soliton turbulence problem initiated by Zakharov, which was the author’s motivation for extending the class of initial data in this book. A large class of almost periodic potentials is also included in these ergodic potentials. P. Deift has conjectured that any solutions to the KdV equation starting from nearly periodic initial data are almost periodic in time. Therefore, our result yields a foundation for this conjecture. For the reader’s benefit, the author has included here (1) a basic knowledge of direct and inverse spectral problem for 1D Schrödinger operators, including the notion of the WT functions; (2)Sato’s Grassmann manifold method revised by Segal–Wilson; and (3) basic results of ergodic Schrödinger operators.This book highlights recent advances in nonlinear dynamics and control with applications in mechanics and physics. The book includes selected…
articles from the 5th Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD 2023) and presents recent theoretical, experimental and numerical findings covering various topics in nonlinear structural dynamics and diagnosis. The main topics includes multiple scales dynamics, energy harvesting, dynamics of MEMS, NEMS and AFM, systems with time delay, quasi-periodic oscillations and synchronization, stochastic dynamics, analytical and semi-analytical methods, time series analysis, control and analysis of switching systems, structural health monitoring, nonlinear vibrations of structures, nonsmouth dynamics, nonlinear phenomena in discrete and continuum systems, dynamic modeling and fault diagnosis, constrained multi-catenary systems, conservative chaotic system, hysteretic structures, and nonlinear PDEs and their dynamics.