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Theoretical Aspects of Spatial-Temporal Modeling
by Tomoko Matsui Gareth William PetersThis book provides a modern introductory tutorial on specialized theoretical aspects of spatial and temporal modeling. The areas covered involve a range of topics which reflect the diversity of this domain of research across a number of quantitative disciplines. For instance, the first chapter provides up-to-date coverage of particle association measures that underpin the theoretical properties of recently developed random set methods in space and time otherwise known as the class of probability hypothesis density framework (PHD filters). The second chapter gives an overview of recent advances in Monte Carlo methods for Bayesian filtering in high-dimensional spaces. In particular, the chapter explains how one may extend classical sequential Monte Carlo methods for filtering and static inference problems to high dimensions and big-data applications. The third chapter presents an overview of generalized families of processes that extend the class of Gaussian process models to heavy-tailed families known as alpha-stable processes. In particular, it covers aspects of characterization via the spectral measure of heavy-tailed distributions and then provides an overview of their applications in wireless communications channel modeling. The final chapter concludes with an overview of analysis for probabilistic spatial percolation methods that are relevant in the modeling of graphical networks and connectivity applications in sensor networks, which also incorporate stochastic geometry features.
Theoretical Atomic Physics
by Harald FriedrichThis expanded and updated well-established textbook contains an advanced presentation of quantum mechanics adapted to the requirements of modern atomic physics. It includes topics of current interest such as semiclassical theory, chaos, atom optics and Bose-Einstein condensation in atomic gases. In order to facilitate the consolidation of the material covered, various problems are included, together with complete solutions. The emphasis on theory enables the reader to appreciate the fundamental assumptions underlying standard theoretical constructs and to embark on independent research projects. The fourth edition of Theoretical Atomic Physics contains an updated treatment of the sections involving scattering theory and near-threshold phenomena manifest in the behaviour of cold atoms (and molecules). Special attention is given to the quantization of weakly bound states just below the continuum threshold and to low-energy scattering and quantum reflection just above. Particular emphasis is laid on the fundamental differences between long-ranged Coulombic potentials and shorter-ranged potentials falling off faster than 1/r2 at large distances r. The new sections on tunable near-threshold Feshbach resonances and on scattering in two spatial dimensions also address problems relevant for current and future research in the field of cold (and ultra-cold) atoms. Graduate students and researchers will find this book a valuable resource and comprehensive reference alike.
Theoretical Computational Dynamics
by Shih-I PaiThis book gives an introduction to the theoretical and computational fluid dynamics of a compressible fluid. It focuses on the basic assumptions and the formulation of the theory of compressible flow as well as on the methods of solving problems.
Theoretical Computer Science: 36th National Conference, NCTCS 2018, Shanghai, China, October 13–14, 2018, Proceedings (Communications in Computer and Information Science #882)
by Lian Li Pinyan Lu Kun HeThis book constitutes the thoroughly refereed proceedings of the National Conference of Theoretical Computer Science, NCTCS 2018, held in Shanghai, China, in October 2018. The 11 full papers presented were carefully reviewed and selected from 31 submissions. They present relevant trends of current research in the area of algorithms and complexity, software theory and method, data science and machine learning theory.
Theoretical Computer Science: 37th National Conference, NCTCS 2019, Lanzhou, China, August 2–4, 2019, Revised Selected Papers (Communications in Computer and Information Science #1069)
by Xiaoming Sun Kun He Xiaoyun ChenThis book constitutes the thoroughly refereed proceedings of the National Conference of Theoretical Computer Science, NCTCS 2019, held in Lanzhou, China, in August 2019. The 11 full papers presented were carefully reviewed and selected from 28 submissions. They present relevant trends of current research in the area of algorithms and complexity, data science and machine learning theory, and computational model.
Theoretical Concepts in Physics
by Malcolm S. LongairThis second edition of a popular text demonstrates how physics can be appreciated through a series of case studies spanning a complete university physics course. Highlights include three new chapters on Newton's laws (one on ancient astronomy up to the time of Galileo, one on Galileo, and one on Newton); a new chapter on dimensional methods, chaos and self-organized criticality; and a new chapter on the technology of cosmology. Although all the arguments are presented precisely in physical and mathematical terminology, the book is written in a relatively non-technical manner, intended to convey a deep understanding and appreciation of the incredible achievements of theorists in creating the structure of modern physics. First Edition Hb (1984): 0-521-25550-3 First Edition Pb (1984): 0-521-27553-9
Theoretical Concepts of X-Ray Nanoscale Analysis: Theory, Experiments and Applications
by Alexander Ulyanenkov Andrei Benediktovich Ilya FeranchukThis book provides a concise survey of modern theoretical concepts of X-ray materials analysis. The principle features of the book are: basics of X-ray scattering, interaction between X-rays and matter and new theoretical concepts of X-ray scattering. The various X-ray techniques are considered in detail: high-resolution X-ray diffraction, X-ray reflectivity, grazing-incidence small-angle X-ray scattering and X-ray residual stress analysis. All the theoretical methods presented use the unified physical approach. This makes the book especially useful for readers learning and performing data analysis with different techniques. The theory is applicable to studies of bulk materials of all kinds, including single crystals and polycrystals as well as to surface studies under grazing incidence. The book appeals to researchers and graduate students alike.
Theoretical Developments and Applications of Non-Integer Order Systems
by Stefan Domek Paweł DworakThis volume is devoted to presentation of new results of research on systems of non-integer order, called also fractional systems. Their analysis and practical implementation have been the object of spontaneous development for a few last decades. The fractional order models can depict a physical plant better than the classical integer order ones. This covers different research fields such as insulator properties, visco-elastic materials, electrodynamic, electrothermal, electrochemical, economic processes modelling etc. On the other hand fractional controllers often outperform their integer order counterparts. This volume contains new ideas and examples of implementation, theoretical and pure practical aspects of using a non-integer order calculus. It is divided into four parts covering: mathematical fundamentals, modeling and approximations, controllability, observability and stability problems and practical applications of fractional control systems. The first part expands the base of tools and methods of the mathematical basis for non-integer order calculus. Part two focuses on new methods and developments in process modeling and fractional derivatives approximations. In the third part a bunch of papers which raise problems of controllability, observability and stability of non-integer order systems is provided. Part four is devoted to presentation of different fractional order control applications. This book was created thanks to many experts in the field of fractional calculus: authors, anonymous referees whose comments allowed us to improve the final form of the papers and active and inspiring discussion of the participants of RRNR'2015, the 7th Conference on Non-Integer Order Calculus and Its Applications that was organized by the Faculty of Electrical Engineering, West Pomeranian University of Technology, Szczecin, Poland.
Theoretical Fluid Dynamics (Theoretical and Mathematical Physics)
by Achim FeldmeierThis textbook gives an introduction to fluid dynamics based on flows for which analytical solutions exist, like individual vortices, vortex streets, vortex sheets, accretions disks, wakes, jets, cavities, shallow water waves, bores, tides, linear and non-linear free-surface waves, capillary waves, internal gravity waves and shocks. Advanced mathematical techniques ("calculus") are introduced and applied to obtain these solutions, mostly from complex function theory (Schwarz-Christoffel theorem and Wiener-Hopf technique), exterior calculus, singularity theory, asymptotic analysis, the theory of linear and nonlinear integral equations and the theory of characteristics.Many of the derivations, so far contained only in research journals, are made available here to a wider public.
Theoretical Foundations of Digital Imaging Using MATLAB (Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series)
by Leonid P. YaroslavskyHelping readers master digital imaging, this text presents a unified theoretical basis for understanding and designing methods of imaging and image processing. Designed for newcomers to imaging science and engineering, the book covers the subject in its entirety, from image formation to image perfecting. The author avoids using heavy mathematics and derives all formulas in full detail. To facilitate a deeper understanding of the major results, the book includes a number of exercises supported by MATLAB programs.
Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators (Wiley Series in Probability and Statistics #997)
by Tailen Hsing Randall EubankTheoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators provides a uniquely broad compendium of the key mathematical concepts and results that are relevant for the theoretical development of functional data analysis (FDA).The self–contained treatment of selected topics of functional analysis and operator theory includes reproducing kernel Hilbert spaces, singular value decomposition of compact operators on Hilbert spaces and perturbation theory for both self–adjoint and non self–adjoint operators. The probabilistic foundation for FDA is described from the perspective of random elements in Hilbert spaces as well as from the viewpoint of continuous time stochastic processes. Nonparametric estimation approaches including kernel and regularized smoothing are also introduced. These tools are then used to investigate the properties of estimators for the mean element, covariance operators, principal components, regression function and canonical correlations. A general treatment of canonical correlations in Hilbert spaces naturally leads to FDA formulations of factor analysis, regression, MANOVA and discriminant analysis.This book will provide a valuable reference for statisticians and other researchers interested in developing or understanding the mathematical aspects of FDA. It is also suitable for a graduate level special topics course.
The Theoretical Foundations of Quantum Mechanics
by Belal E. BaaquieThe Theoretical Foundations of Quantum Mechanics addresses fundamental issues that are not discussed in most books on quantum mechanics. This book focuses on analyzing the underlying principles of quantum mechanics and explaining the conceptual and theoretical underpinning of quantum mechanics. In particular, the concepts of quantum indeterminacy, quantum measurement and quantum superposition are analyzed to clarify the concepts that are implicit in the formulation of quantum mechanics. The Schrodinger equation is never solved in the book. Rather, the discussion on the fundamentals of quantum mechanics is treated in a rigorous manner based on the mathematics of quantum mechanics. The new concept of the interplay of empirical and trans-empirical constructs in quantum mechanics is introduced to clarify the foundations of quantum mechanics and to explain the counter-intuitive construction of nature in quantum mechanics. The Theoretical Foundations of Quantum Mechanics is aimed at the advanced undergraduate and assumes introductory knowledge of quantum mechanics. Its objective is to provide a solid foundation for the reader to reach a deeper understanding of the principles of quantum mechanics.
Theoretical Foundations of Radar Location and Radio Navigation (Springer Aerospace Technology)
by Denis Alexandrovich Akmaykin Eduard Anatolyevich Bolelov Anatoliy Ivanovich Kozlov Boris Valentinovich Lezhankin Alexander Evgenievich Svistunov Yury Grigorievich ShatrakovThe book represents a study guide reciting theoretical basics of radar location and radio navigation systems of air and sea transport. This is the distinctive feature of this study guide.The study guide states the principal physics of radar location and radio navigation, main measuring methods of proper and relative movement parameters of an object, tactical and technical characteristics of radar location and radio navigation systems, including examining issues on radiofrequency signals detection and its parameters estimation against background and interference of different type, filtering, combined detection and rating of signals, signals resolution and classification. The structural and functioning principles of the current and advanced radar location and radio navigation systems of air and sea transport are represented in the study guide with an adequate completeness. The study guide features the result of years long lecturing on radar location and radio navigation theoretical courses at the Moscow State Technical University of Civil Aviation and G.I.Nevelskiy Maritime State Technical Academy. The study guide is designated for students of radio-engineering specialties in area of air and sea transport. The study guide can be useful for radio engineers working in the field of air and maritime transport, and for graduate students and academic researchers as well.
Theoretical Foundations of Synchrotron and Storage Ring RF Systems (Particle Acceleration and Detection)
by Harald Klingbeil Ulrich Laier Dieter LensThis is an open access book.This course-tested text is an ideal starting point for engineers and physicists entering the field of particle accelerators. The fundamentals are comprehensively introduced, derivations of essential results are provided and a consistent notation style used throughout the book allows readers to quickly familiarize themselves with the field, providing a solid theoretical basis for further studies.Emphasis is placed on the essential features of the longitudinal motion of charged particle beams, together with the corresponding RF generation and power amplification devices for synchrotron and storage ring systems. In particular, electrical engineering aspects such as closed-loop control of system components are discussed.The book also offers a valuable resource for graduate students in physics, electronics engineering, or mathematics looking for an introductory and self-contained text on accelerator physics.
A Theoretical Introduction to Numerical Analysis
by Victor S. Ryaben'kii Semyon V. TsynkovA Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An access
Theoretical, Modelling and Numerical Simulations Toward Industry 4.0 (Studies in Systems, Decision and Control #319)
by Samsul Ariffin Abdul KarimThis book presents theoretical modeling and numerical simulations applied to drive several applications towards Industrial Revolution 4.0 (IR 4.0). The topics discussed range from theoretical parts to extensive simulations involving many efficient algorithms as well as various statistical techniques. This book is suitable for postgraduate students, researchers as well as other scientists who are working in mathematics, statistics and numerical modeling and simulation.
Theoretical Numerical Analysis: An Introduction to Advanced Techniques (Dover Books on Mathematics)
by Peter LinzThis concise text introduces numerical analysis as a practical, problem-solving discipline. The three-part presentation begins with the fundamentals of functional analysis and approximation theory. Part II outlines the major results of theoretical numerical analysis, reviewing product integration, approximate expansion methods, the minimization of functions, and related topics. Part III considers specific subjects that illustrate the power and usefulness of theoretical analysis.Ideal as a text for a one-year graduate course, the book also offers engineers and scientists experienced in numerical computing a simple introduction to the major ideas of modern numerical analysis. Some practical experience with computational mathematics and the ability to relate this experience to new concepts is assumed. Otherwise, no background beyond advanced calculus is presupposed. Moreover, the ideas of functional analysis used throughout the text are introduced and developed only to the extent they are needed.
Theoretical Physics 8: Statistical Physics
by Wolfgang NoltingDer Grundkurs Theoretische Physik deckt in 7 Bänden alle für das Diplom und für Bachelor/Master-Studiengänge maßgeblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester notwendige theoretisch-physikalische Rüstzeug. Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffs. Der 6. Band zur Statistischen Physik wurde für die Neuauflage grundlegend überarbeitet und um aktuelle Entwicklungen ergänzt. Durch die zweifarbige Gestaltung ist der Stoff jetzt noch übersichtlicher gegliedert.
Theoretical Physics 9: Fundamentals of Many-body Physics
by Wolfgang NoltingThis textbook addresses the special physics of many-particle systems, especially those dominated by correlation effects. It develops modern methods to treat such systems and demonstrates their application through numerous appropriate exercises, mainly from the field of solid state physics. The book is written in a tutorial style appropriate for those who want to learn many-body theory and eventually to use this to do research work in this field. The exercises, together with full solutions for evaluating one's performance, help to deepen understanding of the main aspects of many-particle systems.This revised second edition presents new sections on the finite-temperature Matsubara formalism, in particular with respect to Dyson equation, the Hartree-Fock approximation, second order perturbation theory, spin density waves, Hubbard model, Jellium model, quasi particles, Fermi liquids and multi particle Matsubara functions.Completing the outstanding Theoretical Physics series, this book will be a valuable resource for advanced students and researchers alike.
Theoretical Studies on Extended Higgs Sectors Towards Future Precision Measurements (Springer Theses)
by Masashi AikoThis book investigates the physics of the discovered Higgs boson and additional Higgs bosons in the extended Higgs models which includes higher-order quantum corrections. While the 125 GeV Higgs boson was discovered, the structure of the Higgs sector is still a mystery. Since the Higgs sector determines the concrete realization of the Higgs mechanism, the study of its nature is one of the central interests in current and future high-energy physics. The book begins with a review of the standard model and the two-Higgs doublet model, which is one of the representatives of the extended Higgs models. Subsequently, we discuss the studies of the two-Higgs doublet model at the lowest order of perturbation. Following the lowest-order analysis, we study the higher-order electroweak corrections in Higgs physics. After reviewing the renormalization procedure and the higher-order corrections in the decays of the discovered Higgs boson, we discuss the higher-order corrections in the Higgs strahlung process from an electron-positron collision, the decays of the additional charged and CP-odd Higgs bosons in the two-Higgs doublet model. From the series of these studies, it is found that the nature of the Higgs sector can be widely investigated by future collider experiments.
Theoretical Thermotics: Transformation Thermotics and Extended Theories for Thermal Metamaterials
by Ji-Ping HuangThis book focuses on theoretical thermotics, the theory of transformation thermotics and its extended theories for the active control of macroscopic thermal phenomena of artificial systems, which is in sharp contrast to classical thermodynamics comprising the four thermodynamic laws for the passive description of macroscopic thermal phenomena of natural systems. The book covers the basic concepts and mathematical methods, which are necessary to understand thermal problems extensively investigated in physics, but also in other disciplines of engineering and materials. The analyses rely on models solved by analytical techniques accompanied with computer simulations and laboratory experiments. This book serves both as a reference work for senior researchers and a study text for zero beginners.
Theoretische Festkörperphysik Band 2: Anwendungen: Nichtgleichgewicht, Verhalten in äußeren Feldern, kollektive Phänomene
by Gerd CzychollDer vorliegende Band 2 deckt fortgeschrittene Themen der theoretischen Festkörperphysik ab und knüpft damit direkt an die Grundlagen an. Dabei werden Festkörper in äußeren Feldern bzw. allgemeiner im Nichtgleichgewicht und Abweichungen von der idealen 3-dimensionalen Kristallstruktur (Oberflächen, Störstellen, niederdimensionale Strukturen, Quantenpunkte, etc.) behandelt. Die Betrachtung von kollektiven Phänomene wie Supraleitung und Magnetismus runden die Darstellung ab. Beim Leser werden die Inhalte von Band 1 (Elektronen und Phononen in idealen Kristallen, Bloch-Theorem, Besetzungszahldarstellung bzw. 2. Quantisierung, Elektron-Elektron- und Elektron-Phonon-Wechselwirkung) vorausgesetzt sowie die Grundkenntnisse in allgemeiner Theoretischer Physik (Mechanik, Elektrodynamik, Quantenmechanik und Statistische Physik), wie sie in der Regel nach einem Bachelor-Studium der Physik vorhanden sind. Band 2 eignet sich also hervorragend für Studierende im Master-Studiengang Physik, die sich auf (experimentelle oder theoretische) Festkörperphysik spezialisieren wollen. Das Ansprechen von aktuellen Themen (z.B. Kondo-Effekt, fraktioneller Quanten-Hall-Effekt, 2-dimensionale Kristalle wie Graphen, Riesen-Magnetowiderstands-Effekt u.a.) bietet einen optimalen Übergang zur modernen Forschung.Die Neuauflage wurde komplett überarbeitet, um zahlreiche Übungsaufgaben erweitert und vorhandene neu konzipiert, wobei die zugehörigen Lösungen nun mit ins Buch aufgenommen sind.
Theoretische Physik 1 | Mechanik: Mechanik
by Matthias Bartelmann Timm Krüger Björn Feuerbacher Andreas Wipf Dieter Lüst Anton RebhanDas beliebte Buch Theoretische Physik wird jetzt erstmalig in korrigierter und ergänzter Form in Einzelbänden angeboten. Das ermöglicht den Studierenden, die handlichen Bände zum Lernen, Aufgabenlösen und zum schnellen Nachschlagen leichter mitnehmen und nutzen zu können. Gleichzeitig wird die gesamte theoretische Physik des Bachelorstudiums (und darüber hinaus) in den vier Bänden aufeinander abgestimmt präsentiert. Das vorliegende Buch ist der erste Teil der vierbändigen Reihe und deckt den Lehrstoff der Bachelorvorlesung zur Theoretischen Mechanik großer Universitäten in Deutschland, Österreich und der Schweiz möglichst umfassend ab.Die besondere Stärke dieser Reihe liegt darin, den Leser mit einer Vielzahl von didaktischen Elementen beim Lernen zu unterstützen:-Alle Kapitel werden mit grundsätzlichen Fragen eingeleitet-Wichtige Aussagen, Formeln und Definitionen sind übersichtlich hervorgehoben-Beispiele regen zum Aktivwerden an-Selbstfragen helfen dem Leser, den behandelten Stoff zu reflektieren-„So geht’s weiter“-Abschnitte, beispielsweise über den Lense-Thirring-Effekt oder Determinismus und Chaos ermöglichen einen Blick über den Tellerrand und geben Einblicke in aktuelle Forschung-Anhand ausführlich gelöster Aufgaben kann das Gelernte überprüft und gefestigt werden-Mathematische Boxen sind zum schnellen Nachschlagen herausgehoben -Alle Bände sind durchgehend vierfarbig und mit übersichtlichen Grafiken gestaltet.Die Autoren haben ihre langjährige und vielfach hervorragend bewertete Lehrerfahrung in das Werk einfließen lassen. Darüber hinaus gelingt es ihnen, die Zusammenhänge in der Theoretischen Physik auch bandübergreifend klar werden zu lassen.Der InhaltDie Newton’schen Axiome – Koordinationstransformationen und beschleunigte Bezugssysteme – Systeme von Punktmassen – Starre Körper – Lagrange-Formalismus und Variationsrechnung – Schwingungen – Hamilton-Formalismus – Kontinuumsmechanik – Spezielle Relativitätstheorie – Relativistische Mechanik
Theoretische Physik 2 | Elektrodynamik
by Andreas Wipf Anton Rebhan Dieter Lüst Timm Krüger Björn Feuerbacher Matthias BartelmannDas beliebte Buch Theoretische Physik wird jetzt erstmalig in korrigierter und ergänzter Form in Einzelbänden angeboten. Das ermöglicht den Studierenden, die handlichen Bände zum Lernen, Aufgabenlösen und zum schnellen Nachschlagen leichter mitnehmen und nutzen zu können. Gleichzeitig wird die gesamte theoretische Physik des Bachelorstudiums (und darüber hinaus) in den vier Bänden aufeinander abgestimmt präsentiert. Das vorliegende Buch ist der zweite Teil der vierbändigen Reihe und deckt den Lehrstoff der Bachelorvorlesung zur Elektrodynamik großer Universitäten in Deutschland, Österreich und der Schweiz möglichst umfassend ab. Die besondere Stärke dieser Reihe liegt darin, den Leser mit einer Vielzahl von didaktischen Elementen beim Lernen zu unterstützen: -Alle Kapitel werden mit grundsätzlichen Fragen eingeleitet -Wichtige Aussagen, Formeln und Definitionen sind übersichtlich hervorgehoben -Beispiele regen zum Aktivwerden an -Selbstfragen helfen dem Leser, den behandelten Stoff zu reflektieren -„So geht’s weiter“-Abschnitte, beispielsweise über nichtlineare Elektrodynamik und effektive Feldtheorien ermöglichen einen Blick über den Tellerrand und geben Einblicke in aktuelle Forschung -Anhand ausführlich gelöster Aufgaben kann das Gelernte überprüft und gefestigt werden -Mathematische Boxen sind zum schnellen Nachschlagen herausgehoben -Alle Bände sind durchgehend vierfarbig und mit übersichtlichen Grafiken gestaltet. Die Autoren haben ihre langjährige und vielfach hervorragend bewertete Lehrerfahrung in das Werk einfließen lassen. Darüber hinaus gelingt es ihnen, die Zusammenhänge in der Theoretischen Physik auch bandübergreifend klar werden zu lassen. Der Inhalt Die Maxwell-Gleichungen – Elektrostatik – Vollständige Funktionssysteme: Fourier-Transformation und Multipolentwicklung – Elektrische Felder in Materie – Magnetismus und elektrische Ströme – Ausbreitung elektromagnetischer Wellen – Optik – Relativistische Formulierung der Elektrodynamik – Abstrahlung elektromagnetischer Wellen – Lagrange- und Hamilton-Formalismus in der Elektrodynamik
Theoretische Physik 3 | Quantenmechanik: Quantenmechanik 1
by Andreas Wipf Anton Rebhan Dieter Lüst Timm Krüger Björn Feuerbacher Matthias BartelmannDas beliebte Buch Theoretische Physik wird jetzt erstmalig in korrigierter und ergänzter Form in Einzelbänden angeboten. Das ermöglicht den Studierenden, die handlichen Bände zum Lernen, Aufgabenlösen und zum schnellen Nachschlagen leichter mitnehmen und nutzen zu können. Gleichzeitig wird die gesamte theoretische Physik des Bachelorstudiums (und darüber hinaus) in den vier Bänden aufeinander abgestimmt präsentiert. Das vorliegende Buch ist der dritte Teil der vierbändigen Reihe und deckt den Lehrstoff der Bachelorvorlesung zur Quantenmechanik großer Universitäten in Deutschland, Österreich und der Schweiz möglichst umfassend ab. Die besondere Stärke dieser Reihe liegt darin, den Leser mit einer Vielzahl von didaktischen Elementen beim Lernen zu unterstützen: -Alle Kapitel werden mit grundsätzlichen Fragen eingeleitet -Wichtige Aussagen, Formeln und Definitionen sind übersichtlich hervorgehoben -Beispiele regen zum Aktivwerden an -Selbstfragen helfen dem Leser, den behandelten Stoff zu reflektieren -„So geht’s weiter“-Abschnitte, beispielsweise über Supersymmetrie in der Quantenmechanik ermöglichen einen Blick über den Tellerrand und geben Einblicke in aktuelle Forschung -Anhand ausführlich gelöster Aufgaben kann das Gelernte überprüft und gefestigt werden -Mathematische Boxen sind zum schnellen Nachschlagen herausgehoben -Alle Bände sind durchgehend vierfarbig und mit übersichtlichen Grafiken gestaltet. Die Autoren haben ihre langjährige und vielfach hervorragend bewertete Lehrerfahrung in das Werk einfließen lassen. Darüber hinaus gelingt es ihnen, die Zusammenhänge in der Theoretischen Physik auch bandübergreifend klar werden zu lassen. Der Inhalt Die Entstehung der Quantenphysik – Wellenmechanik – Formalismus der Quantenmechanik – Observablen, Zustände und Unbestimmtheit – Zeitentwicklung und Bilder – Eindimensionale Quantensysteme – Symmetrien und Erhaltungssätze – Zentralkräfte, das Wasserstoffatom – Elektromagnetische Felder und der Spin – Störungstheorie und Virialsatz – Mehrteilchensysteme und weitere Näherungsmethoden – Streutheorie