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Petrascheck D: Electrodynamics

Electrodynamics

NanoScience and Technology

This book offers a comprehensive examination of ongoing advancements in theoretical and experimental approaches to Maxwell's equations. It focuses on three key aspects: quantum effects, scale effects, and kinetic effects, which exert subtle influences at microscopic levels. Addressing pressing challenges for future progress, the text explores the interplay of these phenomena within classical electromagnetism.The evolution of data communication and information technology has led to a demand for high-density, minimization, ultra-compact nano-photo-electronic integration. As electronic devices scale down to nanometer and sub-nanometer levels, classical Maxwell's equations reveal quantum effects. This book provides insights into these advancements, focusing on potential applications in nano-scale electronic and optic devices.Tailored for physicists, engineering scientists, electronics engineers, and developers, this text serves as a valuable resource. It guides readers from classical Maxwell's equations to their quantum-affected counterparts, providing essential insights for electromagnetic simulation and the design of nano-scale electronic and optic systems. With its blend of theoretical foundations and practical applications, this book equips professionals with the knowledge needed to apply these advancements in real-world scenarios.

This book offers a comprehensive examination of ongoing advancements in theoretical and experimental approaches to Maxwell's equations. It focuses on three key aspects: quantum effects, scale effects, and kinetic effects, which exert subtle influences at microscopic levels. Addressing pressing challenges for future progress, the text explores the interplay of these phenomena within classical electromagnetism.The evolution of data communication and information technology has led to a demand for high-density, minimization, ultra-compact nano-photo-electronic integration. As electronic devices scale down to nanometer and sub-nanometer levels, classical Maxwell’s equations reveal quantum effects. This book provides insights into these advancements, focusing on potential applications in nano-scale electronic and optic devices.Tailored for physicists, engineering scientists, electronics engineers, and developers, this text serves as a valuable resource. It guides readers from classical Maxwell’s equations to their quantum-affected counterparts, providing essential insights for electromagnetic simulation and the design of nano-scale electronic and optic systems. With its blend of theoretical foundations and practical applications, this book equips professionals with the knowledge needed to apply these advancements in real-world scenarios.

New Advances in Maxwell’s Equations and Applications

Introduction To Statistics And Data Analysis For Physicists (Fourth Edition)

Many-Body Green's Functions for Time-Dependent Problems

Handbook of Electronic Structure Theory provides a much-needed learning resource that collects and demonstrates the various key methods involved in electronic structure theory, the feasibility and reliability of electronic structure calculations and their applications using computational chemistry, with a particular focus on the most modern and recent problems which are poorly covered in existing, largely outdated book literature. This handbook is designed with early career researcher learning in mind by aiming to provide a careful, structured, coherent, measured, and incremental presentation of the subject matter as well as appropriate problems and worked tutorial examples. Elements like summary boxes, worked examples, and downloadable data sets make this a holistic guide to the topic for learners from different backgrounds who require a deeper understanding of electronic structure theory. Part I one of the book focuses on the critical core theories, before Part II moves on to some of the most important recent developments and their potential future directions, including key topics such as the electronic excited states and the harnessing of machine learning. Finally, Part III then collects a range of key case study examples of applications such as for biomolecules, in spectroscopy, or for use in catalysis amongst others. Handbook of Electronic Structure Theory is written primarily for masters, PhD, and postdoctoral students in theoretical and computational chemistry as well as experimental researchers wishing to apply quantum chemical methods in a critical way. The book will also have significant relevance to those studying and teaching in the adjacent fields of computational physics, materials science, and astrochemistry, who are making use of electronic structure methods. It is also likely to be of interest to chemists working on designing new materials and compounds targeting industrial and environmental applications such as catalysis, energy harvesting or green chemistry.

Methods and Applications

Handbook of Electronic Structure Theory

Intended for graduate and advanced undergraduate students, this textbook is a thoroughly modern introduction to and a self-contained treatise on the theoretical and mathematical fundamentals of General Relativity. The chapters are organized into three parts, with the first covering Maxwell's theory of electromagnetism, the relativistic Kepler problem, and the systematics of the underlying geometry, with the more abstract notion of the fibre bundle relegated to the Appendix. The second part begins with a derivation of the Einstein equations and leads to topics such as cosmology, black holes, causal structures, and action principles. The third part covers the canonical formulation of field theory in general and General Relativity in particular, leading to the concept of the total energy in General Relativity and quantum phenomena with event horizons. The book minimizes historical references, focuses on modern tools, examples, and applications, and emphasizes the commonalities between relativistic gravity and gauge theory.

Gravitation for Theorists

This book on Quantum Mechanics starts with the known field equation of Electrodynamics. Then comes the following steps: in the case of very weak fields the electromagnetic field equation becomes the quantum mechanical wave equation for single photons. This equation is generalized for massive particles (Klein-Gordon equation). The non-relativistic limit of this is the free Schrödinger equations. In this way the correspondence rules (leading from the Hamilton function to the Hamilton operator) are motivated.On the whole, this book concentrates on applications, and on how things can be calculated . The formal structures are treated to the necessary extent.The applications include all standard topics (including alpha-decay, the hydrogen atom including relativistic correction, angular moment coupling, the Stark effect) and proceed to many-body problems. This includes an introduction of the shell model of the atom and that of the atomic nucleus.

Quantum Mechanics: An Introduction For Physicists

Why Not Nonlinear Algebra: Math, Science, Applications And Funding

Group Theory has been an essential tool of theoretical physics for about a century. During the early days of quantum theory, it was useful to formulate symmetries of systems and to solve for their spectra. Later it was found, in the standard model, that certain groups determine the fundamental interactions of elementary particle. It is not possible to understand modern theoretical physics without knowing group theory.This book is an introduction to group theoretical ideas that arising in classical or quantum mechanics as well as Gield theory. The emphasis is on concepts, although some calculations are done in detail. The intended audience is a graduate student who has already learned mechanics, quantum mechanics as well as some Gield theory (e.g., Maxwell equations in their relativistic form).Among the topics covered are the rotation group and its representations; group extensions and their relevance to spinors; the Lorentz group and relativistic wave equations; the gaussian unitary ensemble of random matrices; the quark model; the Peter-Weyl theorem for Ginite groups as well as compact Lie groups.There are hints that future physics will need symmetries that go beyond the idea of a group. An introduction to such 'quantum groups' is included as well.The book concludes with a study of a class of mechanical systems (Euler-Arnold) which include the rigid body and the ideal Gluids as examples. Some toy models that are one step away from being exactly solvable are studied as examples of chaos.

Physics Through Symmetries

Tauche ein in die Elektrodynamik mit einem Lehrbuch, welches die Maxwellschen Gleichungen als Ausgangspunkt nutzt, wodurch Schritt für Schritt ein tiefes Verständnis vermittelt wird.&nbsp;Besonderheiten:Dieses Buch beginnt jedes Kapitel mit einer der Maxwellschen Gleichungen und erklärt dann schrittweise die einzelnen Bestandteile.&nbsp;Anfänger/innen haben so ein konkretes Lernziel vor Augen.&nbsp;Sowohl die vorkommenden physikalischen Größen als auch mathematischen Grundlagen werden in ihrem natürlichen Kontext erklärt. Grundlegende Prinzipien und komplexe Konzepte werden für verschiedene Fälle betrachtet und mit einfachen Beispielen verdeutlicht. Mithilfe von Aufgaben und Lösungen – sowohl klassisch im Buch als auch als digitale Karteikarten für unterwegs – kann das erworbene Wissen eingeübt und vertieft werden.&nbsp;Inhalt:1. Das Gaußsche Gesetz für elektrische Felder – 2. Das Gaußsche Gesetz für magnetische Felder –&nbsp;3. Das Faradaysche Induktionsgesetz&nbsp;– 4. Das Ampère-Maxwellsche Gesetz – 5. Weiterführende Themen der Elektrodynamik – 6. Wechselwirkung von elektrischen und magnetischen Feldern mit Materie&nbsp;Zielgruppe:Studierende der Ingenieurwissenschaften und Naturwissenschaften, wie z.B. Elektrotechnik, Physik, Medizinphysik, etc. als auch Interessierte bzw. Berufstätige, die ein tieferes Verständnis für die Grundlagen der Elektrodynamik entwickeln möchten.&nbsp;Vorkenntnisse: Hilfreich sind physikalische Grundkenntnisse wie sie z.B. im Buch Vorkurs Physik fürs MINT-Studium vermittelt werden.&nbsp;Der Autor:Dr. Patrick Steglich&nbsp;promovierte 2017 an der Universität Rom ‚Tor Vergata‘ und habilitierte 2023 an der Brandenburgischen Technischen Universität Cottbus-Senftenberg.&nbsp;Seit 2018 ist er Dozent mit Lehrauftrag an der Technischen Hochschule Wildau&nbsp;für das Fach Elektrodynamik und forscht am Leibniz-Institut für innovative Mikroelektronik.

Tauche ein in die Elektrodynamik mit einem Lehrbuch, welches die Maxwellschen Gleichungen als Ausgangspunkt nutzt, wodurch Schritt für Schritt ein tiefes Verständnis vermittelt wird.&nbsp;Besonderheiten:Dieses Buch beginnt jedes Kapitel mit einer der Maxwellschen Gleichungen und erklärt dann schrittweise die einzelnen Bestandteile.&nbsp;Anfänger/innen haben so ein konkretes Lernziel vor Augen.&nbsp;Sowohl die vorkommenden physikalischen Größen als auch mathematischen Grundlagen werden in ihrem natürlichen Kontext erklärt. Grundlegende Prinzipien und komplexe Konzepte werden für verschiedene Fälle betrachtet und mit einfachen Beispielen verdeutlicht. Mithilfe von Aufgaben und Lösungen – sowohl klassisch im Buch als auch als digitale Karteikarten für unterwegs – kann das erworbene Wissen eingeübt und vertieft werden.&nbsp;Inhalt:1. Das Gaußsche Gesetz für elektrische Felder – 2. Das Gaußsche Gesetz für magnetische Felder –&nbsp;3. Das Faradaysche Induktionsgesetz&nbsp;– 4. Das Ampère-Maxwellsche Gesetz – 5. Weiterführende Themen der Elektrodynamik – 6. Wechselwirkung von elektrischen und magnetischen Feldern mit Materie&nbsp;Zielgruppe:Studierende der Ingenieurwissenschaften und Naturwissenschaften, wie z.B. Elektrotechnik, Physik, Medizinphysik, etc. als auch Interessierte bzw. Berufstätige, die ein tieferes Verständnis für die Grundlagen der Elektrodynamik entwickeln möchten.&nbsp;Vorkenntnisse: Hilfreich sind physikalische Grundkenntnisse wie sie z.B. im Buch Vorkurs Physik fürs MINT-Studium vermittelt werden.&nbsp;

Eine schrittweise Reise durch Maxwells Gleichungen

Klassische Elektrodynamik

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

Lectures On Quantum State Estimation

De Gruyter Studies in Mathematics

Orthogonal Polynomials

This book provides cutting-edge knowledge on the theory and modelling of solid-state sintering. It includes new knowledge on 3D microstructural evolution obtained by computer simulations and nano/micro-tomography, as there has been significant progress in the basic sintering theory in the last 20 years. This book presents the fundamental principles related to sintering phenomena, with a focus on understanding the thermodynamic driving forces. Readers can gain insights by examining how atomic-level interactions lead to micro-scale structural changes, which in turn influence densification and deformation processes at the macro-scale. This book is a completely new and easy-to-understand textbook for graduate students, researchers, and engineers in ceramic technology and powder metallurgy. It aims to help them understand fundamental theories essential for developing new materials and improving processing methods efficiently.

Fundamentals of Sintering

Electrodynamics

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