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Non-self-adjoint Schrödinger Operator with a Periodic Potential
by Oktay VelievThis book gives a complete spectral analysis of the non-self-adjoint Schrödinger operator with a periodic complex-valued potential. Building from the investigation of the spectrum and spectral singularities and construction of the spectral expansion for the non-self-adjoint Schrödinger operator, the book features a complete spectral analysis of the Mathieu-Schrödinger operator and the Schrödinger operator with a parity-time (PT)-symmetric periodic optical potential. There currently exists no general spectral theorem for non-self-adjoint operators; the approaches in this book thus open up new possibilities for spectral analysis of some of the most important operators used in non-Hermitian quantum mechanics and optics. Featuring detailed proofs and a comprehensive treatment of the subject matter, the book is ideally suited for graduate students at the intersection of physics and mathematics.
Non-Selfadjoint Operators in Quantum Physics
by Franciszek Hugon Szafraniec Jean-Pierre Gazeau Fabio Bagarello Miloslav ZnojilA unique discussion of mathematical methods with applications to quantum mechanics Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects presents various mathematical constructions influenced by quantum mechanics and emphasizes the spectral theory of non-adjoint operators. Featuring coverage of functional analysis and algebraic methods in contemporary quantum physics, the book discusses the recent emergence of unboundedness of metric operators, which is a serious issue in the study of parity-time-symmetric quantum mechanics. The book also answers mathematical questions that are currently the subject of rigorous analysis with potentially significant physical consequences. In addition to prompting a discussion on the role of mathematical methods in the contemporary development of quantum physics, the book features: Chapter contributions written by well-known mathematical physicists who clarify numerous misunderstandings and misnomers while shedding light on new approaches in this growing area An overview of recent inventions and advances in understanding functional analytic and algebraic methods for non-selfadjoint operators as well as the use of Krein space theory and perturbation theory Rigorous support of the progress in theoretical physics of non-Hermitian systems in addition to mathematically justified applications in various domains of physics such as nuclear and particle physics and condensed matter physics An ideal reference, Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects is useful for researchers, professionals, and academics in applied mathematics and theoretical and/or applied physics who would like to expand their knowledge of classical applications of quantum tools to address problems in their research. Also a useful resource for recent and related trends, the book is appropriate as a graduate-level and/or PhD-level text for courses on quantum mechanics and mathematical models in physics.
Non-standard Problems in Basin Modelling
by Yurii GalushkinThis book details how the GALO system of basin modelling may be used in the analysis of actual, non-standard problems of geology. It begins by addressing the tectonic subsidence of sedimentary basins, and goes on to consider the problems of maturation of organic matter and hydrocarbon generation in the vicinity of intrusions and subtrappean sedimentary complexes. Lastly, the book discusses the formation of temperature and heat flow distributions with depth due to the sharp climate variations in the Quaternary, which was marked by repeated formation and degradation of permafrost. The book studies the application of the GALO basin modelling system to the three problems mentioned above. Employing the GALO system provides a unique opportunity to assess the amplitude and duration of the stretching and thermal activation of the basin lithosphere, and to study in detail the formation of a maturity aureole of organic matter in the basin's subtrappean sedimentary cover. This book offers a valuable resource for all graduate students and professionals interested in numerical modelling of the thermal evolution of sedimentary basins. It will also be of great interest to petroleum geologists engaged in oil and gas exploration in the trap provinces of the world. Lastly, it will benefit those students and geologists dealing with the thermal field of sedimentary blankets in actual and degraded permafrost areas.
Non-standard Spatial Statistics and Spatial Econometrics
by Jean H. Paelinck Daniel A. GriffithDespite spatial statistics and spatial econometrics both being recent sprouts of the general tree "spatial analysis with measurement"--some may remember the debate after WWII about "theory without measurement" versus "measurement without theory"--several general themes have emerged in the pertaining literature. But exploring selected other fields of possible interest is tantalizing, and this is what the authors intend to report here, hoping that they will suscitate interest in the methodologies exposed and possible further applications of these methodologies. The authors hope that reactions about their publication will ensue, and they would be grateful to reader(s) motivated by some of the research efforts exposed hereafter letting them know about these experiences.
Non-State Actors and Sustainable Development in Brazil: The Diffusion of the 2030 Agenda (Routledge Studies in Latin American Development)
by Eduardo Gonçalves GresseThis book investigates how non-state actors have become key drivers of the diffusion of the UN 2030 Agenda for Sustainable Development in Brazil. The UN ranks Brazil as the most biodiverse country in the world, but the country’s environment has never been under greater threat, with the rise of multiple crises bringing mounting challenges to socioeconomic development and environmental protection. As state support has fallen away, non-state actors have actively engaged and eventually mobilized other social actors towards the promotion of the SDGs and the implementation of the UN agenda. This book asks why it is that non-state actors have dedicated so much time, effort and resources to promote a non-binding agenda that was ratified by and is mainly assigned to state actors. Looking at the roles of academia, civil society, and the private sector, the book explores the different ways in which these social actors make sense of and translate the 2030 Agenda into practice within their respective local contexts. Drawing on extensive fieldwork, this book sheds light on a series of challenges, opportunities and contradictions within the global agenda and its implementation. Assessing what the Brazil case can teach us about the diffusion of the 2030 Agenda and the SDGs more broadly, this book will be of interest to academics in the field of Sustainable Development, Latin America Studies and Environmental Politics as well as sustainable development researchers and policy makers.
Non-state Actors in the Arctic Region (Springer Polar Sciences)
by Nikolas Sellheim Dwayne Ryan MenezesThis book comprehensively discusses the role that non-state actors play in the Arctic and assesses the normative role of these actors. Beyond any organised forum, there are actors that have a significant impact on the way the Arctic is developed, adjudicated, managed, perceived, presented and represented. This book complements the literature on non-state actors in international law and international security, world politics and international relations and provides a geographical account of their role for the Arctic. The book content is not limited to a specific discipline, but takes into account different approaches to the topic. This means that it contains three types of contributions: research articles, shorter research notes and commentaries. While the research articles constitute the main body of the work, it is also the research notes which provide an insight into issues related to the topic of the book.
Non-technological Innovations for Sustainable Transport
by Alexandra HyardExamining non-technological innovations for environmentally and socially-friendly transport, this book provides the reader with a better understanding of this often overlooked topic. It features four illustrative case studies, and presents a concise review of the core transport modes (road, rail and marine transport). Transport companies are compelled to innovate due to economic and environmental pressures, and the aim of these innovations is to improve fuel efficiency and ultimately to transform energy use in the transport sector. Whilst many of these innovations are technological, they can conversely be non-technological in nature. This book is intended for students and researchers interested in economics, environmental economics and economics of innovation. It also offers a useful resource to industry professionals interested in ecology and transport.
Non-Universal Superconducting Gap Structure in Iron-Pnictides Revealed by Magnetic Penetration Depth Measurements
by Kenichiro HashimotoIn this book the author presents two important findings revealed by high-precision magnetic penetration depth measurements in iron-based superconductors which exhibit high-transition temperature superconductivity up to 55 K: one is the fact that the superconducting gap structure in iron-based superconductors depends on a detailed electronic structure of individual materials, and the other is the first strong evidence for the presence of a quantum critical point (QCP) beneath the superconducting dome of iron-based superconductors. The magnetic penetration depth is a powerful probe to elucidate the superconducting gap structure which is intimately related to the pairing mechanism of superconductivity. The author discusses the possible gap structure of individual iron-based superconductors by comparing the gap structure obtained from the penetration depth measurements with theoretical predictions, indicating that the non-universal superconducting gap structure in iron-pnictides can be interpreted in the framework of A1g symmetry. This result imposes a strong constraint on the pairing mechanism of iron-based superconductors. The author also shows clear evidence for the quantum criticality inside the superconducting dome from the absolute zero-temperature penetration depth measurements as a function of chemical composition. A sharp peak of the penetration depth at a certain composition demonstrates pronounced quantum fluctuations associated with the QCP, which separates two distinct superconducting phases. This gives the first convincing signature of a second-order quantum phase transition deep inside the superconducting dome, which may address a key question on the general phase diagram of unconventional superconductivity in the vicinity of a QCP.
Nondestructive Evaluation and Monitoring Technologies, Documentation, Diagnosis and Preservation of Cultural Heritage (Springer Proceedings in Materials)
by Ahmad Osman Antonia MoropoulouThis book highlights the benefits of Non-Destructive Testing (NDT) methods and their applications on several cultural heritage sites including the Holy Selphuchre Monitoring System in Jerusalem. This book demonstrates Nondestructive sensing technologies and inspection modules as main tools for documentation, diagnosis, characterization, preservation planning, monitoring and quality of restoration, assessment and evaluation of material and preservation work.
Nondestructive Testing for Archaeology and Cultural Heritage: A Practical Guide And New Perspectives
by Giovanni LeucciThis textbook provides a general introduction to the most important nondestructive testing (NDT) exploration methods for cultural heritage sites. It and highlights the application of NDT exploration methods to archaeology and monumental property. The ability to gauge the extent of an archaeological deposit or the state of preservation of artefacts without resorting to destructive actions is extremely useful in identifying unknown or potential artefacts, and can help to understand and approach a given site in a more targeted manner, both for excavation and restoration operations. This book describes the main physical principles, campaign procedures, and processing and interpretation techniques of NDT, while also introducing a new technique and algorithm for data acquisition and processing. A large section of the book is devoted to actual on-site applications, and focuses on significant historical-archaeological sites in Italy and Turkey. The book offers an essential reference guide for students and scientists in archaeology, geophysics, architecture, and the engineering disciplines, as well as specialists.
Nonequilibrium and Irreversibility
by Giovanni GallavottiThis book concentrates on the properties of the stationary states in chaotic systems of particles or fluids, leaving aside the theory of the way they can be reached. The stationary states of particles or of fluids (understood as probability distributions on microscopic configurations or on the fields describing continua) have received important new ideas and data from numerical simulations and reviews are needed. The starting point is to find out which time invariant distributions come into play in physics. A special feature of this book is the historical approach. To identify the problems the author analyzes the papers of the founding fathers Boltzmann, Clausius and Maxwell including translations of the relevant (parts of) historical documents. He also establishes a close link between treatment of irreversible phenomena in statistical mechanics and the theory of chaotic systems at and beyond the onset of turbulence as developed by Sinai, Ruelle, Bowen (SRB) and others: the author gives arguments intending to support strongly the viewpoint that stationary states in or out of equilibrium can be described in a unified way. In this book it is the "chaotic hypothesis", which can be seen as an extension of the classical ergodic hypothesis to non equilibrium phenomena, that plays the central role. It is shown that SRB - often considered as a kind of mathematical playground with no impact on physical reality - has indeed a sound physical interpretation; an observation which to many might be new and a very welcome insight. Following this, many consequences of the chaotic hypothesis are analyzed in chapter 3 - 4 and in chapter 5 a few applications are proposed. Chapter 6 is historical: carefully analyzing the old literature on the subject, especially ergodic theory and its relevance for statistical mechanics; an approach which gives the book a very personal touch. The book contains an extensive coverage of current research (partly from the authors and his coauthors publications) presented in enough detail so that advanced students may get the flavor of a direction of research in a field which is still very much alive and progressing. Proofs of theorems are usually limited to heuristic sketches privileging the presentation of the ideas and providing references that the reader can follow, so that in this way an overload of this text with technical details could be avoided.
Nonequilibrium Green's Functions Approach to Inhomogeneous Systems
by Karsten Balzer Michael BonitzThis book offers a self-contained introduction to non-equilibrium quantum particle dynamics for inhomogeneous systems, including a survey of recent breakthroughs pioneered by the authors and others. The approach is based on real-time Green's functions.
Nonequilibrium Magnons: Theory, Experiment and Applications
by Vladimir L. SafonovThis much-needed book addresses the concepts, models, experiments and applications of magnons and spin wave in magnetic devices. It fills the gap in the current literature by providing the theoretical and technological framework needed to develop innovative magnetic devices, such as recording devices and sensors. Starting with a historical review of developments in the magnon concept, and including original experimental results, the author presents methods of magnon excitation, and several basic models to describe magnon gas. He includes experiments on Bose-Einstein condensation of non-equilibrium magnons, as well as various applications of a magnon approach.
Nonequilibrium Statistical Physics
by Gerd RöpkeAuthored by a well-known expert in the field of nonequilibrium statistical physics, this book is a coherent presentation of the subject suitable for masters and PhD students, as well as postdocs in physics and related disciplines. Starting from a general discussion of irreversibility and entropy, the method of nonequilibrium statistical operator is presented as a general concept. Stochastic processes are introduced as a necessary prerequisite to describe the evolution of a nonequilibrium state. Different standard approaches such as master equations, kinetic equations and linear response theory, are derived after special assumptions. This allows for an insight into the problems of nonequilibrium physics, a discussion of the limits of the approaches, and suggestions for improvements. The method of thermodynamic Green's function is outlined that allows for the systematic quantum statistical treatment of many-body systems. Applications and typical examples are given, as well as fully worked problems.
Nonequilibrium Statistical Physics of Small Systems
by Christopher Jarzynski Rainer Klages Wolfram Just Heinz Georg SchusterThis book offers a comprehensive picture of nonequilibrium phenomena in nanoscale systems. Written by internationally recognized experts in the field, this book strikes a balance between theory and experiment, and includes in-depth introductions to nonequilibrium fluctuation relations, nonlinear dynamics and transport, single molecule experiments, and molecular diffusion in nanopores.The authors explore the application of these concepts to nano- and biosystems by cross-linking key methods and ideas from nonequilibrium statistical physics, thermodynamics, stochastic theory, and dynamical systems. By providing an up-to-date survey of small systems physics, the text serves as both a valuable reference for experienced researchers and as an ideal starting point for graduate-level students entering this newly emerging research field.
Nonequilibrium Statistical Thermodynamics (Dover Books on Physics)
by Bernard H. LavendaThis book develops in detail the statistical foundations of nonequilibrium thermodynamics, based on the mathematical theory of Brownian motion. Author Bernard H. Lavenda demonstrates that thermodynamic criteria emerge in the limit of small thermal fluctuations and in the Gaussian limit where means and modes of the distribution coincide. His treatment assumes the theory of Brownian motion to be a general and practical model of irreversible processes that are inevitably influenced by random thermal fluctuations. This unifying approach permits the extraction of widely applicable principles from the analysis of specific models.Arranged by argument rather than theory, the text is based on the premises that random thermal fluctuations play a decisive role in governing the evolution of nonequilibrium thermodynamic processes and that they can be viewed as a dynamic superposition of many random events. Intended for nonmathematicians working in the areas of nonequilibrium thermodynamics and statistical mechanics, this book will also be of interest to chemical physicists, condensed matter physicists, and readers in the area of nonlinear optics.
Noninvasive Survey Methods for Carnivores
by Justina Ray Paula Mackay William Zielinski Robert A. LongThe status of many carnivore populations is of growing concern to scientists and conservationists, making the need for data pertaining to carnivore distribution, abundance, and habitat use ever more pressing. Recent developments in "noninvasive" research techniques--those that minimize disturbance to the animal being studied--have resulted in a greatly expanded toolbox for the wildlife practitioner. Presented in a straightforward and readable style, Noninvasive Survey Methods for Carnivores is a comprehensive guide for wildlife researchers who seek to conduct carnivore surveys using the most up-to-date scientific approaches. Twenty-five experts from throughout North America discuss strategies for implementing surveys across a broad range of habitats, providing input on survey design, sample collection, DNA and endocrine analyses, and data analysis. Photographs from the field, line drawings, and detailed case studies further illustrate on-the-ground application of the survey methods discussed. Coupled with cutting-edge laboratory and statistical techniques, which are also described in the book, noninvasive survey methods are effi cient and effective tools for sampling carnivore populations. Noninvasive Survey Methods for Carnivores allows practitioners to carefully evaluate a diversity of detection methods and to develop protocols specific to their survey objectives, study area, and species of interest. It is an essential resource for anyone interested in the study of carnivores, from scientists engaged in primary research to agencies or organizations requiring carnivore detection data to develop management or conservation plans.
Nonlinear Adiabatic Evolution of Quantum Systems: Geometric Phase and Virtual Magnetic Monopole
by Jie Liu Sheng-Chang Li Li-Bin Fu Di-Fa YeThis book systematically introduces the nonlinear adiabatic evolution theory of quantum many-body systems. The nonlinearity stems from a mean-field treatment of the interactions between particles, and the adiabatic dynamics of the system can be accurately described by the nonlinear Schrödinger equation. The key points in this book include the adiabatic condition and adiabatic invariant for nonlinear system; the adiabatic nonlinear Berry phase; and the exotic virtual magnetic field, which gives the geometric meaning of the nonlinear Berry phase. From the quantum-classical correspondence, the linear and nonlinear comparison, and the single particle and interacting many-body difference perspectives, it shows a distinct picture of adiabatic evolution theory. It also demonstrates the applications of the nonlinear adiabatic evolution theory for various physical systems. Using simple models it illustrates the basic points of the theory, which are further employed for the solution of complex problems of quantum theory for many-particle systems. The results obtained are supplemented by numerical calculations, presented as tables and figures.
Nonlinear Analysis - Theory and Methods (Springer Monographs in Mathematics)
by Nikolaos S. Papageorgiou Vicenţiu D. Rădulescu Dušan D. RepovšThis book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis.
Nonlinear And Stochastic Climate Dynamics
by Christian L. E. Franzke Terence J. O’kaneIt is now widely recognized that the climate system is governed by nonlinear, multi-scale processes, whereby memory effects and stochastic forcing by fast processes, such as weather and convective systems, can induce regime behavior. Motivated by present difficulties in understanding the climate system and to aid the improvement of numerical weather and climate models, this book gathers contributions from mathematics, physics and climate science to highlight the latest developments and current research questions in nonlinear and stochastic climate dynamics. Leading researchers discuss some of the most challenging and exciting areas of research in the mathematical geosciences, such as the theory of tipping points and of extreme events including spatial extremes, climate networks, data assimilation and dynamical systems. This book provides graduate students and researchers with a broad overview of the physical climate system and introduces powerful data analysis and modeling methods for climate scientists and applied mathematicians.
Nonlinear Climate Dynamics
by Henk A. DijkstraThis book introduces stochastic dynamical systems theory in order to synthesize our current knowledge of climate variability. Nonlinear processes, such as advection, radiation and turbulent mixing, play a central role in climate variability. These processes can give rise to transition phenomena, associated with tipping or bifurcation points, once external conditions are changed. The theory of dynamical systems provides a systematic way to study these transition phenomena. Its stochastic extension also forms the basis of modern (nonlinear) data analysis techniques, predictability studies and data assimilation methods. Early chapters apply the stochastic dynamical systems framework to a hierarchy of climate models to synthesize current knowledge of climate variability. Later chapters analyse phenomena such as the North Atlantic Oscillation, El Niño/Southern Oscillation, Atlantic Multidecadal Variability, Dansgaard-Oeschger Events, Pleistocene Ice Ages, and climate predictability. This book will prove invaluable for graduate students and researchers in climate dynamics, physical oceanography, meteorology and paleoclimatology.
Nonlinear Dynamics: Exploration Through Normal Forms (Dover Books On Physics Series #Vol. 5)
by Prof. Yair Zarmi Peter B. KahnGeared toward advanced undergraduates and graduate students, this exposition covers the method of normal forms and its application to ordinary differential equations through perturbation analysis. In addition to its emphasis on the freedom inherent in the normal form expansion, the text features numerous examples of equations, the kind of which are encountered in many areas of science and engineering. The treatment begins with an introduction to the basic concepts underlying the normal forms. Coverage then shifts to an investigation of systems with one degree of freedom that model oscillations, in which the force has a dominant linear term and a small nonlinear one. The text considers a variety of nonautonomous systems that arise during the study of forced oscillatory motion. Topics include boundary value problems, connections to the method of the center manifold, linear and nonlinear Mathieu equations, pendula, Nuclear Magnetic Resonance, coupled oscillator systems, and other subjects. 1998 edition.
Nonlinear Dynamics of Structures Under Extreme Transient Loads
by Adnan Ibrahimbegovic Naida AdemovićThe effect of combined extreme transient loadings on a structure is not well understood—whether the source is man-made, such as an explosion and fire, or natural, such as an earthquake or extreme wind loading. A critical assessment of current knowledge is timely (with Fukushima-like disasters or terrorist threats). The central issue in all these problems is structural integrity, along with their transient nature, their unexpectedness, and often the uncertainty behind their cause. No single traditional scientific discipline provides complete answers, rather, a number of tools need to be brought together: nonlinear dynamics, probability theory, some understanding of the physical nature of the problem, as well as modeling and computational techniques for representing inelastic behavior mechanisms. Nonlinear Dynamics of Structures Under Extreme Transient Loads covers model building for different engineering structures and provides detailed presentations of extreme loading conditions. A number of illustrations are given quantifying; a plane crash or explosion induced impact loading, the effects of strong earthquake motion, and the impact and long-duration effects of strong stormy winds—along with a relevant framework for using modern computational tools. The book considers the levels of reserve in existing structures, and ways of reducing the negative impact of high-risk situations by employing sounder design procedures.
Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids (Shock Wave and High Pressure Phenomena)
by John D. ClaytonThis book describes thermoelastic and inelastic deformation processes in crystalline solids undergoing loading by shock compression. Constitutive models with a basis in geometrically nonlinear continuum mechanics supply these descriptions. Large deformations such as finite strains and rotations, are addressed. The book covers dominant mechanisms of nonlinear thermoelasticity, dislocation plasticity, deformation twinning, fracture, flow, and other structure changes. Rigorous derivations of theoretical results are provided, with approximately 1300 numbered equations and an extensive bibliography of over 500 historical and modern references spanning from the 1920s to the present day. Case studies contain property data, as well as analytical, and numerical solutions to shock compression problems for different materials. Such materials are metals, ceramics, and minerals, single crystalline and polycrystalline.The intended audience of this book is practicing scientists (physicists, engineers, materials scientists, and applied mathematicians) involved in advanced research on shock compression of solid materials.
Nonlinear Filtering and Optimal Phase Tracking
by Zeev SchussThis book offers an analytical rather than measure-theoretical approach to the derivation of the partial differential equations of nonlinear filtering theory. The basis for this approach is the discrete numerical scheme used in Monte-Carlo simulations of stochastic differential equations and Wiener's associated path integral representation of the transition probability density. Furthermore, it presents analytical methods for constructing asymptotic approximations to their solution and for synthesizing asymptotically optimal filters. It also offers a new approach to the phase tracking problem, based on optimizing the mean time to loss of lock. The book is based on lecture notes from a one-semester special topics course on stochastic processes and their applications that the author taught many times to graduate students of mathematics, applied mathematics, physics, chemistry, computer science, electrical engineering, and other disciplines. The book contains exercises and worked-out examples aimed at illustrating the methods of mathematical modeling and performance analysis of phase trackers.