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Books > Science & Mathematics > Mathematics > Applied mathematics > General

Multiresonator-Based Chipless RFID - Barcode of the Future (Hardcover, 2012 ed.): Stevan Preradovic, Nemai Chandra Karmakar Multiresonator-Based Chipless RFID - Barcode of the Future (Hardcover, 2012 ed.)
Stevan Preradovic, Nemai Chandra Karmakar
R3,021 Discovery Miles 30 210 Ships in 10 - 15 working days

This vital new resource offers engineers and researchers a window on important new technology that will supersede the barcode and is destined to change the face of logistics and product data handling. In the last two decades, radio-frequency identification has grown fast, with accelerated take-up of RFID into the mainstream through its adoption by key users such as Wal-Mart, K-Mart and the US Department of Defense. RFID has many potential applications due to its flexibility, capability to operate out of line of sight, and its high data-carrying capacity. Yet despite optimistic projections of a market worth $25 billion by 2018, potential users are concerned about costs and investment returns. Clearly demonstrating the need for a fully printable chipless RFID tag as well as a powerful and efficient reader to assimilate the tag's data, this book moves on to describe both. Introducing the general concepts in the field including technical data, it then describes how a chipless RFID tag can be made using a planar disc-loaded monopole antenna and an asymmetrical coupled spiral multi-resonator. The tag encodes data via the "spectral signature" technique and is now in its third-generation version with an ultra-wide band (UWB) reader operating at between 5 and 10.7GHz.

A Primer on Electromagnetic Fields (Hardcover, 2015 ed.): Fabrizio Frezza A Primer on Electromagnetic Fields (Hardcover, 2015 ed.)
Fabrizio Frezza
R2,665 R1,974 Discovery Miles 19 740 Save R691 (26%) Ships in 12 - 19 working days

This book is a concise introduction to electromagnetics and electromagnetic fields that covers the aspects of most significance for engineering applications by means of a rigorous, analytical treatment. After an introduction to equations and basic theorems, topics of fundamental theoretical and applicative importance, including plane waves, transmission lines, waveguides and Green's functions, are discussed in a deliberately general way. Care has been taken to ensure that the text is readily accessible and self-consistent, with conservation of the intermediate steps in the analytical derivations. The book offers the reader a clear, succinct course in basic electromagnetic theory. It will also be a useful lookup tool for students and designers.

Molecular Dynamics - Theoretical Developments and Applications in Nanotechnology and Energy (Hardcover): Lichang Wang Molecular Dynamics - Theoretical Developments and Applications in Nanotechnology and Energy (Hardcover)
Lichang Wang
R4,126 Discovery Miles 41 260 Ships in 10 - 15 working days
The Interval Market Model in Mathematical Finance - Game-Theoretic Methods (Hardcover, 2013 ed.): Pierre Bernhard, Jacob C.... The Interval Market Model in Mathematical Finance - Game-Theoretic Methods (Hardcover, 2013 ed.)
Pierre Bernhard, Jacob C. Engwerda, Berend Roorda, J. M Schumacher, Vassili Kolokoltsov, …
R3,462 R2,184 Discovery Miles 21 840 Save R1,278 (37%) Ships in 12 - 19 working days

Toward the late 1990s, several research groups independently began developing new, related theories in mathematical finance. These theories did away with the standard stochastic geometric diffusion "Samuelson" market model (also known as the Black-Scholes model because it is used in that most famous theory), instead opting for models that allowed minimax approaches to complement or replace stochastic methods. Among the most fruitful models were those utilizing game-theoretic tools and the so-called interval market model. Over time, these models have slowly but steadily gained influence in the financial community, providing a useful alternative to classical methods. A self-contained monograph, The Interval Market Model in Mathematical Finance: Game-Theoretic Methods assembles some of the most important results, old and new, in this area of research. Written by seven of the most prominent pioneers of the interval market model and game-theoretic finance, the work provides a detailed account of several closely related modeling techniques for an array of problems in mathematical economics. The book is divided into five parts, which successively address topics including: * probability-free Black-Scholes theory; * fair-price interval of an option; * representation formulas and fast algorithms for option pricing; * rainbow options; * tychastic approach of mathematical finance based upon viability theory. This book provides a welcome addition to the literature, complementing myriad titles on the market that take a classical approach to mathematical finance. It is a worthwhile resource for researchers in applied mathematics and quantitative finance, and has also been written in a manner accessible to financially-inclined readers with a limited technical background.

Many-Electron Approaches in Physics, Chemistry and Mathematics - A Multidisciplinary View (Hardcover, 2014 ed.): Volker Bach,... Many-Electron Approaches in Physics, Chemistry and Mathematics - A Multidisciplinary View (Hardcover, 2014 ed.)
Volker Bach, Luigi Delle Site
R4,502 R2,320 Discovery Miles 23 200 Save R2,182 (48%) Ships in 12 - 19 working days

This book provides a broad description of the development and (computational) application of many-electron approaches from a multidisciplinary perspective. In the context of studying many-electron systems Computer Science, Chemistry, Mathematics and Physics are all intimately interconnected. However, beyond a handful of communities working at the interface between these disciplines, there is still a marked separation of subjects. This book seeks to offer a common platform for possible exchanges between the various fields and to introduce the reader to perspectives for potential further developments across the disciplines. The rapid advances of modern technology will inevitably require substantial improvements in the approaches currently used, which will in turn make exchanges between disciplines indispensable. In essence this book is one of the very first attempts at an interdisciplinary approach to the many-electron problem.

The Language Phenomenon - Human Communication from Milliseconds to Millennia (Hardcover, 2013 ed.): P.-M. Binder, K Smith The Language Phenomenon - Human Communication from Milliseconds to Millennia (Hardcover, 2013 ed.)
P.-M. Binder, K Smith
R2,461 R2,063 Discovery Miles 20 630 Save R398 (16%) Ships in 12 - 19 working days

This volume contains a contemporary, integrated description of the processes of language. These range from fast scales (fractions of a second) to slow ones (over a million years). The contributors, all experts in their fields, address language in the brain, production of sentences and dialogues, language learning, transmission and evolutionary processes that happen over centuries or millenia, the relation between language and genes, the origins of language, self-organization, and language competition and death. The book as a whole will help to show how processes at different scales affect each other, thus presenting language as a dynamic, complex and profoundly human phenomenon.

Problems of Point Blast Theory (Hardcover, 1991 ed.): V.P. Korobeinikov Problems of Point Blast Theory (Hardcover, 1991 ed.)
V.P. Korobeinikov
R3,262 Discovery Miles 32 620 Ships in 10 - 15 working days

Problems of Point Blast Theory covers all the main topics of modern theory with the exception of applications to nova and supernova outbursts. All the presently known theoretical results are given and problems which are still to be resolved are indicated. A special feature of the book is the sophisticated mathematical approach. Of interest to specialists and graduate students working in hydrodynamics, explosion theory, plasma physics, mathematical physics, and applied mathematics.

Nanoclusters and Microparticles in Gases and Vapors (Hardcover): Boris M. Smirnov Nanoclusters and Microparticles in Gases and Vapors (Hardcover)
Boris M. Smirnov
R5,446 Discovery Miles 54 460 Ships in 12 - 19 working days

Various nanoclusters and microparticles are considered in excited and ionized gases, as well as various processes with their participation. The concepts of these processes were developed 50 - 100 years ago mostly for dense media, and basing on these concepts, we analyze these processes in gases in two opposite regimes, so that in the kinetic regime surrounding atoms of a buffer gas do not partake in processesinvolving small particles, and the diffusion regime corresponds to a dense gas where interaction of small particles with a buffer gas subjects to laws of hydrodynamics. For calculation or estimation of the rates of these processes, we are based on the liquid drop model for small particles which was introduced in physics by N. Bohr about 80 years ago for the analysis of properties of atomic nuclei including the nuclear fusion and the hard sphere model (or the model of billiard balls) which was used by J. C. Maxwell 150 years ago and helped to create the kinetic theory of gases. These models along with the analysis of their accuracy allow one to study various processes, such as transport processes in gases involving small particles, charging of small particles in gases, chemical processes, atom attachment and quenching of excited atomic particles on the surface of a small particle, nucleation processes for small particles including coagulation, coalescence and growth of fractal aggregates, chain aggregates, fractal fibres and aerogels. Each analysis is finished by analytic formulas or simple models which allow us to calculate the rate of a certain real process with a known accuracy or to estimate this, and criteria of validity are given for these expressions obtained. Examples of real objects and processes involving small particles are analyzed.

Computational Intelligence for Network Structure Analytics (Hardcover, 1st ed. 2017): Maoguo Gong, Qing Cai, Lijia Ma, Shanfeng... Computational Intelligence for Network Structure Analytics (Hardcover, 1st ed. 2017)
Maoguo Gong, Qing Cai, Lijia Ma, Shanfeng Wang, Yu Lei
R3,680 Discovery Miles 36 800 Ships in 12 - 19 working days

This book presents the latest research advances in complex network structure analytics based on computational intelligence (CI) approaches, particularly evolutionary optimization. Most if not all network issues are actually optimization problems, which are mostly NP-hard and challenge conventional optimization techniques. To effectively and efficiently solve these hard optimization problems, CI based network structure analytics offer significant advantages over conventional network analytics techniques. Meanwhile, using CI techniques may facilitate smart decision making by providing multiple options to choose from, while conventional methods can only offer a decision maker a single suggestion. In addition, CI based network structure analytics can greatly facilitate network modeling and analysis. And employing CI techniques to resolve network issues is likely to inspire other fields of study such as recommender systems, system biology, etc., which will in turn expand CI's scope and applications. As a comprehensive text, the book covers a range of key topics, including network community discovery, evolutionary optimization, network structure balance analytics, network robustness analytics, community-based personalized recommendation, influence maximization, and biological network alignment. Offering a rich blend of theory and practice, the book is suitable for students, researchers and practitioners interested in network analytics and computational intelligence, both as a textbook and as a reference work.

Drinfeld Modules, Modular Schemes And Applications (Hardcover): M. van der Put, E-u Gekeler, M Reversat, Jan Van Geel Drinfeld Modules, Modular Schemes And Applications (Hardcover)
M. van der Put, E-u Gekeler, M Reversat, Jan Van Geel
R3,761 Discovery Miles 37 610 Ships in 10 - 15 working days

In his 1974 seminal paper 'Elliptic modules', V G Drinfeld introduced objects into the arithmetic geometry of global function fields which are nowadays known as 'Drinfeld Modules'. They have many beautiful analogies with elliptic curves and abelian varieties. They study of their moduli spaces leads amongst others to explicit class field theory, Jacquet-Langlands theory, and a proof of the Shimura-Taniyama-Weil conjecture for global function fields.This book constitutes a carefully written instructional course of 12 lectures on these subjects, including many recent novel insights and examples. The instructional part is complemented by research papers centering around class field theory, modular forms and Heegner points in the theory of global function fields.The book will be indispensable for everyone who wants a clear view of Drinfeld's original work, and wants to be informed about the present state of research in the theory of arithmetic geometry over function fields.

Three Domain Modelling and Uncertainty Analysis - Applications in Long Range Infrastructure Planning (Hardcover, 2015 ed.):... Three Domain Modelling and Uncertainty Analysis - Applications in Long Range Infrastructure Planning (Hardcover, 2015 ed.)
Atom Mirakyan, Roland de Guio
R3,659 R2,025 Discovery Miles 20 250 Save R1,634 (45%) Ships in 12 - 19 working days

This book examines in detail the planning and modelling of local infrastructure like energy systems, including the complexities resulting from various uncertainties. Readers will discover the individual steps involved in infrastructure planning in cities and territories, as well as the primary requirements and supporting quality factors. Further topics covered concern the field of uncertainty and its synergies with infrastructure planning. Theories, methodological backgrounds and concrete case studies will not only help readers to understand the proposed methodologies for modelling and uncertainty analysis, but will also show them how these approaches are implemented in practice.

Dynamics of the Milky Way - Tidal Streams and Extended Distribution Functions for the Galactic Disc (Hardcover, 2015 ed.):... Dynamics of the Milky Way - Tidal Streams and Extended Distribution Functions for the Galactic Disc (Hardcover, 2015 ed.)
Jason Sanders
R3,960 R3,670 Discovery Miles 36 700 Save R290 (7%) Ships in 12 - 19 working days

This work presents a study of methods useful for modeling and understanding dynamical systems in the Galaxy. A natural coordinate system for the study of dynamical systems is the angle-action coordinate system. New methods for the approximation of the action-angle variables in general potentials are presented and discussed. These new tools are applied to the construction of dynamical models for two of the Galaxy's components: tidal streams and the Galactic disc. Tidal streams are remnants of tidally stripped satellites in the Milky Way that experience the effects of the large scale structure of the Galactic gravitational potential, while the Galactic disc provides insights into the nature of the Galaxy near the Sun. Appropriate action-based models are presented and discussed for these components, and extended to include further information such as the metallicity of stars.

A Course in Mathematical Physics - Volume 2: Classical Field Theory (English, German, Hardcover, 2nd ed.): Walter E. Thirring A Course in Mathematical Physics - Volume 2: Classical Field Theory (English, German, Hardcover, 2nd ed.)
Walter E. Thirring; Translated by Evans M. Harrell
R2,225 Discovery Miles 22 250 Ships in 12 - 19 working days
The Elements of Operator Theory (Hardcover, 2nd ed. 2011): Carlos S. Kubrusly The Elements of Operator Theory (Hardcover, 2nd ed. 2011)
Carlos S. Kubrusly
R3,878 Discovery Miles 38 780 Ships in 10 - 15 working days

This second edition of Elements of Operator Theory is a concept-driven textbook that includes a significant expansion of the problems and solutions used to illustrate the principles of operator theory. Written in a user-friendly, motivating style intended to avoid the formula-computational approach, fundamental topics are presented in a systematic fashion, i.e., set theory, algebraic structures, topological structures, Banach spaces, and Hilbert spaces, culminating with the Spectral Theorem.

Included in this edition: more than 150 examples, with several interesting counterexamples that demonstrate the frontiers of important theorems, as many as 300 fully rigorous proofs, specially tailored to the presentation, 300 problems, many with hints, and an additional 20 pages of problems for the second edition.

*This self-contained work is an excellent text for the classroom as well as a self-study resource for researchers.

Storing and Transmitting Data - Rudolf Ahlswede's Lectures on Information Theory 1 (Hardcover, 2014 ed.): Rudolf Ahlswede Storing and Transmitting Data - Rudolf Ahlswede's Lectures on Information Theory 1 (Hardcover, 2014 ed.)
Rudolf Ahlswede; Edited by Alexander Ahlswede, Ingo Althoefer, Christian Deppe, Ulrich Tamm
R2,661 R2,123 Discovery Miles 21 230 Save R538 (20%) Ships in 12 - 19 working days

The volume "Storing and Transmitting Data" is based on Rudolf Ahlswede's introductory course on "Information Theory I" and presents an introduction to Shannon Theory. Readers, familiar or unfamiliar with the technical intricacies of Information Theory, will benefit considerably from working through the book; especially Chapter VI with its lively comments and uncensored insider views from the world of science and research offers informative and revealing insights. This is the first of several volumes that will serve as a collected research documentation of Rudolf Ahlswede's lectures on information theory. Each volume includes comments from an invited well-known expert. Holger Boche contributed his insights in the supplement of the present volume. Classical information processing concerns the main tasks of gaining knowledge, storage, transmitting and hiding data. The first task is the prime goal of Statistics. For the two next, Shannon presented an impressive mathematical theory called Information Theory, which he based on probabilistic models. The theory largely involves the concept of codes with small error probabilities in spite of noise in the transmission, which is modeled by channels. The lectures presented in this work are suitable for graduate students in Mathematics, and also in Theoretical Computer Science, Physics, and Electrical Engineering with background in basic Mathematics. The lectures can be used as the basis for courses or to supplement courses in many ways. Ph.D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find the basis of entire research programs.

Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control (Hardcover): Marko M. Makela, Pekka... Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control (Hardcover)
Marko M. Makela, Pekka Neittaanmaki
R2,049 Discovery Miles 20 490 Ships in 12 - 19 working days

This book is a self-contained elementary study for nonsmooth analysis and optimization, and their use in solution of nonsmooth optimal control problems. The first part of the book is concerned with nonsmooth differential calculus containing necessary tools for nonsmooth optimization. The second part is devoted to the methods of nonsmooth optimization and their development. A proximal bundle method for nonsmooth nonconvex optimization subject to nonsmooth constraints is constructed. In the last part nonsmooth optimization is applied to problems arising from optimal control of systems covered by partial differential equations. Several practical problems, like process control and optimal shape design problems are considered.

Strip-Method for Image and Signal Transformation (Hardcover): Leonid A Mironovsky, Valery A Slaev Strip-Method for Image and Signal Transformation (Hardcover)
Leonid A Mironovsky, Valery A Slaev
R4,298 Discovery Miles 42 980 Ships in 12 - 19 working days

This work deals with the matrix methods of continuous signal and image processing according to which strip-transformation is used. The authors suggest ways to solve a problem of evaluating potential noise immunity and synthesis of an optimal filter for the case of pulse noises, of applying the two-dimensional strip-transformation for storage and noise immune transmission of images. The strip-transformation of images is illustrated by examples and classes of images invariant relative to symmetrical orthogonal transformations. The monograph is intended for scientists and specialists whose activities are connected with computer signals and images processing, instrumentation and metrology. It can also be used by undergraduates, as well as by post-graduates for studying computer methods of signal and image processing.

Optimal Lightweight Construction Principles (Hardcover, 1st ed. 2021): Federico Maria Ballo, Massimiliano Gobbi, Giampiero... Optimal Lightweight Construction Principles (Hardcover, 1st ed. 2021)
Federico Maria Ballo, Massimiliano Gobbi, Giampiero Mastinu, Giorgio Previati
R4,329 Discovery Miles 43 290 Ships in 12 - 19 working days

This book presents simple design paradigms related to lightweight design, that are derived from an in-depth and theoretically sound analysis based on Pareto theory. It uses numerous examples, including torsion and inflated tubes, to fully explain the theories discussed. Lightweight Construction Principles begins by defining terms in relation to engineering design and optimal design of complex mechanical systems. It then discusses the analytical derivation of the Pareto-optimal set, before applying analytical formulae to optimal design of bent beams. The book moves through numerous case studies of different beam and tube construction including beams subject to bending, thin walled tubes under torsion and truss structures. This book will be of interest to researchers and graduate students in the field of structural optimisation and multi-objective optimization, as well as to practitioners such as design engineers.

Networks of Echoes - Imitation, Innovation and Invisible Leaders (Hardcover, 2014 ed.): Bruce J. West, Malgorzata Turalska,... Networks of Echoes - Imitation, Innovation and Invisible Leaders (Hardcover, 2014 ed.)
Bruce J. West, Malgorzata Turalska, Paolo Grigolini
R3,982 R2,074 Discovery Miles 20 740 Save R1,908 (48%) Ships in 12 - 19 working days

"Networks of Echoes: Imitation, Innovation and Invisible Leaders" is a mathematically rigorous and data rich book on a fascinating area of the science and engineering of social webs. There are hundreds of complex network phenomena whose statistical properties are described by inverse power laws. The phenomena of interest are not arcane events that we encounter only fleetingly, but are events that dominate our lives. We examine how this intermittent statistical behavior intertwines itself with what appears to be the organized activity of social groups. The book is structured as answers to a sequence of questions such as: How are decisions reached in elections and boardrooms? How is the stability of a society undermined by zealots and committed minorities and how is that stability re-established? Can we learn to answer such questions about human behavior by studying the way flocks of birds retain their formation when eluding a predator? These questions and others are answered using a generic model of a complex dynamic network one whose global behavior is determined by a symmetric interaction among individuals based on social imitation. The complexity of the network is manifest in time series resulting from self-organized critical dynamics that have divergent first and second moments, are non-stationary, non-ergodic and non-Poisson. How phase transitions in the network dynamics influence such activity as decision making is a fascinating story and provides a context for introducing many of the mathematical ideas necessary for understanding complex networks in general. The decision making model (DMM) is selected to emphasize that there are features of complex webs that supersede specific mechanisms and need to be understood from a general perspective. This insightful overview of recent tools and their uses may serve as an introduction and curriculum guide in related courses."

Numerical Methods for Differential Equations, Optimization, and Technological Problems - Dedicated to Professor P. Neittaanmaki... Numerical Methods for Differential Equations, Optimization, and Technological Problems - Dedicated to Professor P. Neittaanmaki on His 60th Birthday (Hardcover, 2013 ed.)
Sergey Repin, Timo Tiihonen, Tero Tuovinen
R5,991 R5,343 Discovery Miles 53 430 Save R648 (11%) Ships in 12 - 19 working days

This book contains the results in numerical analysis and optimization presented at the ECCOMAS thematic conference "Computational Analysis and Optimization" (CAO 2011) held in Jyvaskyla, Finland, June 9-11, 2011. Both the conference and this volume are dedicated to Professor Pekka Neittaanmaki on the occasion of his sixtieth birthday. It consists of five parts that are closely related to his scientific activities and interests: Numerical Methods for Nonlinear Problems; Reliable Methods for Computer Simulation; Analysis of Noised and Uncertain Data; Optimization Methods; Mathematical Models Generated by Modern Technological Problems. The book also includes a short biography of Professor Neittaanmaki.

Text-book of Mechanics; 4 (Hardcover): Louis Adolphe 1880- Martin Text-book of Mechanics; 4 (Hardcover)
Louis Adolphe 1880- Martin
R914 Discovery Miles 9 140 Ships in 12 - 19 working days
Models for Physics of the Very Small and Very Large (Hardcover, 1st ed. 2016): Thomas J. Buckholtz Models for Physics of the Very Small and Very Large (Hardcover, 1st ed. 2016)
Thomas J. Buckholtz
R2,676 Discovery Miles 26 760 Ships in 12 - 19 working days

This monograph tackles three challenges. First, show a mathematics-based meta-model that matches known elementary particles. Second, apply models, based on the meta-model, to match other known physics data. Third, predict future physics data. The math features solutions to isotropic pairs of isotropic quantum harmonic oscillators. This monograph matches some solutions to known elementary particles. Matched properties include spin, types of interactions in which the particles partake, and (for elementary bosons) approximate masses. Other solutions point to possible elementary particles. This monograph applies the models and the extended particle list. Results narrow gaps between physics data and theory. Results pertain to elementary particles, astrophysics, and cosmology. For example, this monograph predicts properties for beyond-the-Standard-Model elementary particles, proposes descriptions of dark matter and dark energy, provides new relationships between known physics constants (including masses of some elementary particles), includes theory that dovetails with the ratio of dark matter to ordinary matter, includes math that dovetails with the number of elementary-fermion generations, suggests forces that govern the rate of expansion of the universe, and suggests additions to and details for the cosmology timeline.

Risk Assessment of Dams (Hardcover, 1st ed. 2020): Aytac Guven, Alper Aydemir Risk Assessment of Dams (Hardcover, 1st ed. 2020)
Aytac Guven, Alper Aydemir
R3,020 Discovery Miles 30 200 Ships in 10 - 15 working days

This book offers a timely report on methods for risk assessment procedures for dams, with a special emphasis on dams with small storage dimensions. It starts by introducing all important definitions relating to dams, dam safety, such as the most common failure modes, and risks. In turn, it describes in detail the most important evaluation procedures for various failure modes such as piping, flood, earthquake and stability are described in this chapter. Consequence assessment procedures, together with the different steps of the risk evaluation process, are analyzed, providing a guide on how to identify the appropriate failure mode for the examined dam and setting up the appropriate safety plan. The book introduces the most common methods for predicting peak breach discharge, analyzing some relevant case studies. Upon comparing the findings obtained with the different methods, the book concludes with some general suggestions and ideas for future developments. This book fills an important gap between theoretical works and real-life problems being investigating in practical research studies on dam safety and risk management. It provides readers with the necessary knowledge on risk analysis and shows how to apply this in practice to carry out dam safety studies. It offers practical guidelines to set up risk assessment procedures for different failure modes and predicting failure parameters such as failure time, peak breach discharge and breach width.

Ensembles on Configuration Space - Classical, Quantum, and Beyond (Hardcover, 1st ed. 2016): Michael J. W. Hall, Marcel... Ensembles on Configuration Space - Classical, Quantum, and Beyond (Hardcover, 1st ed. 2016)
Michael J. W. Hall, Marcel Reginatto
R2,576 R2,105 Discovery Miles 21 050 Save R471 (18%) Ships in 12 - 19 working days

This book describes a promising approach to problems in the foundations of quantum mechanics, including the measurement problem. The dynamics of ensembles on configuration space is shown here to be a valuable tool for unifying the formalisms of classical and quantum mechanics, for deriving and extending the latter in various ways, and for addressing the quantum measurement problem. A description of physical systems by means of ensembles on configuration space can be introduced at a very fundamental level: the basic building blocks are a configuration space, probabilities, and Hamiltonian equations of motion for the probabilities. The formalism can describe both classical and quantum systems, and their thermodynamics, with the main difference being the choice of ensemble Hamiltonian. Furthermore, there is a natural way of introducing ensemble Hamiltonians that describe the evolution of hybrid systems; i.e., interacting systems that have distinct classical and quantum sectors, allowing for consistent descriptions of quantum systems interacting with classical measurement devices and quantum matter fields interacting gravitationally with a classical spacetime.

Lectures on Hyperhamiltonian Dynamics and Physical Applications (Hardcover, 1st ed. 2017): Giuseppe Gaeta, Miguel A Rodriguez Lectures on Hyperhamiltonian Dynamics and Physical Applications (Hardcover, 1st ed. 2017)
Giuseppe Gaeta, Miguel A Rodriguez
R2,658 Discovery Miles 26 580 Ships in 12 - 19 working days

This book provides the mathematical foundations of the theory of hyperhamiltonian dynamics, together with a discussion of physical applications. In addition, some open problems are discussed. Hyperhamiltonian mechanics represents a generalization of Hamiltonian mechanics, in which the role of the symplectic structure is taken by a hyperkahler one (thus there are three Kahler/symplectic forms satisfying quaternionic relations). This has proved to be of use in the description of physical systems with spin, including those which do not admit a Hamiltonian formulation. The book is the first monograph on the subject, which has previously been treated only in research papers.

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