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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
by Harald Klingbeil Ulrich Laier Dieter LensThis 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.
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.
Theoretical Frontiers in Black Holes and Cosmology
by Renata Kallosh Emanuele OraziThese lecture notes are dedicated to the most recent theoretical applications of Black Hole solutions in high-energy physics. The main motivation of this volume is to present the latest black hole backgrounds that are relevant for gauge/gravity correspondence. Leading scientists in the field explain effective techniques for finding singular and cosmological solutions embedded in gauged supergravity, shedding light on underlying properties and symmetries. Starting from a basic level, the mathematical structures underlying black holes and cosmologies are revealed, helping the reader grasp the connection between theoretical approaches and physical observations with insights into possible future developments from both a theoretical and experimental point of view. The topics covered in this volume are based on lectures delivered during the "Theoretical Frontiers in Black Holes and Cosmology" school, held in Natal in June 2015.
Theoretical Hydrodynamics (Dover Books on Physics)
by L. M. Milne-ThomsonThis classic text offers a thorough, clear and methodical introductory exposition of the mathematical theory of fluid motion, useful in applications to both hydrodynamics and aerodynamics. Departing radically from traditional approaches, the author bases the treatment on vector methods and notation with their natural consequence in two dimensions -- the complex variable.New features in this edition include: a chapter bringing together various exact treatments of two-dimensional motion with a free surface in a gravitational field, followed by one dealing with approximations (mostly linearized) relevant to this but with emphasis on waves; a chapter on tensor methods applied to the flow of viscous fluids; a chapter on flow with small Reynolds' number, including an account of a novel application of the complex variable to Stokes' flow; and an outline of the theory of two-dimensional laminar flow in a boundary layer.Prerequisites are restricted to a knowledge of elementary calculus since any additional mathematics is introduced as required, making this a self-contained treatment. Nearly 400 diagrams help illustrate the text and over 600 exercises are collected into sets of examples at the end of each chapter.
Theoretical Immunology, Part One (Santa Fe Institute Ser. #No. 8)
by Alan S. PerelsonAssuming that the complex phenomena underlying the operation of the immune system may be better understood through the collaborative efforts of theorists and experimentalists viewing the same phenomena in different ways, the Sante Fe Institute and the Theoretical Division of Los Alamos National Laboratory cosponsored a workshop entitled"Theoretical Immunology." The workshop focused on themes spanning the field of immunology, with emphasis on areas where the theorists have made the most progress. This book covers the discussions a that workshop on the topics of immune surveillance, mathematical models of HIV infection, complexities of antigen-antibody systems, immune suppression and tolerance, and idiotypie networks. In each of these areas there is reason to believe that advances can be made either through interactions among experimentalists and theorists or through the critical look experimentalists and theorists will bring to bear upon one another's work.
Theoretical Immunology, Part Two (Santa Fe Institute Ser. #No. 8)
by Alan S. PerelsonAssuming that the complex phenomena underlying the operation of the immune system may be better understood through the collaborative efforts of theorists and experimentalists viewing the same phenomena in different ways, the Sante Fe Institute and the Theoretical Division of Los Alamos National Laboratory cosponsored a workshop entitled "Theoretical Immunology." The workshop focused on themes spanning the field of immunology, with emphasis on areas where the theorists have made the most progress. This book covers the discussions a that workshop on the topics of immune surveillance, mathematical models of HIV infection, complexities of antigen-antibody systems, immune suppression and tolerance, and idiotypie networks. In each of these areas there is reason to believe that advances can be made either through interactions among experimentalists and theorists or through the critical look experimentalists and theorists will bring to bear upon one another's work.
Theoretical Insights into the Electrochemical Properties of Ionic Liquid Electrolytes in Lithium-Ion Batteries
by Leila Maftoon-AzadThis book provides a concise overview of the use of ionic liquids as electrolytes in lithium-ion batteries (LIBs) from a theoretical and computational perspective. It focuses on computational studies to understand the behavior of lithium ions in different ionic liquids and to optimize the performance of ionic liquid-based electrolytes. The main features of the book are as follows:• Provides a thorough understanding of the theoretical and computational aspects of using ionic liquids as electrolytes in LIBs, including the evaluation and reproducibility of the theoretical paths.• Covers various computational methods such as density functional theory, molecular dynamics, and quantum mechanics that have been used to study the behavior of lithium ions in different solvents and to optimize the performance of ionic liquid-based electrolytes.• Discusses recent advances such as new computational methods for predicting the properties of ionic liquid-based electrolytes, new strategies for improving the stability and conductivity of these electrolytes, and new approaches for understanding the kinetics and thermodynamics of redox reactions with ionic liquids.• Suggests how theoretical insights can be translated into practical applications for improving performance and safety.This monograph will be of interest to engineers working on LIB optimization.
Theoretical Issues in Stuttering
by Ann Packman Joseph S. AttanasioDespite decades of research into the nature and treatment of stuttering, the causes and underlying mechanisms of it are still not well understood. In this unique and comprehensive overview of the numerous theories and models which seek to understand and explain stuttering, the authors of Theoretical Issues in Stuttering provide an invaluable account. Covering an impressive range of topics including past and current theories of stuttering, this edition provides the reader with an updated evaluation of the literature on the subject of stuttering alongside exploring the evolution of new theories. Placing each within the relevant historical context, the authors explore the contribution of theory to both understanding and managing stuttering. Theoretical Issues in Stuttering is a critical account of the models and theories which surround the subject of stuttering, aiming to act as a key resource for students of speech-language pathology as well as lecturers, clinicians and researchers within the field.
Theoretical Knowledge in the Mohist Canon (Archimedes #63)
by Matthias Schemmel William G. BoltzThis open access book presents a new translation, interpretation and analysis of selected passages from the so-called Mohist Canon, a Chinese text from ca. 300 BCE, and discusses the role of the text in the world history of science, arguing that it represents an early emergence of theoretical, systematized knowledge that is independent from parallel developments in ancient Greece. It is aimed at historians of science, of knowledge and of philosophy, and generally at readers interested in these topics from an intercultural perspective and particularly with respect to China.
Theoretical Mechanics of Particles and Continua
by Alexander L. Fetter John Dirk WaleckaThis two-part text fills what has often been a void in the first-year graduate physics curriculum. Through its examination of particles and continua, it supplies a lucid and self-contained account of classical mechanics -- which in turn provides a natural framework for introducing many of the advanced mathematical concepts in physics.The text opens with Newton's laws of motion and systematically develops the dynamics of classical particles, with chapters on basic principles, rotating coordinate systems, lagrangian formalism, small oscillations, dynamics of rigid bodies, and hamiltonian formalism, including a brief discussion of the transition to quantum mechanics. This part of the book also considers examples of the limiting behavior of many particles, facilitating the eventual transition to a continuous medium.The second part deals with classical continua, including chapters on string membranes, sound waves, surface waves on nonviscous fluids, heat conduction, viscous fluids, and elastic media. Each of these self-contained chapters provides the relevant physical background and develops the appropriate mathematical techniques, and problems of varying difficulty appear throughout the text.
The Theoretical Minimum
by Leonard Susskind George HrabovskyA world-class physicist and a citizen scientist combine forces to teach Physics 101OCothe DIY way "The Theoretical Minimum" is a book for anyone who has ever regretted not taking physics in collegeOCoor who simply wants to know how to think like a physicist. In this unconventional introduction, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Unlike most popular physics booksOCowhich give readers a taste of what physicists know but shy away from equations or mathOCoSusskind and Hrabovsky actually teach the skills you need to do physics, beginning with classical mechanics, yourself. Based on SusskindOCOs enormously popular Stanford University-based (and YouTube-featured) continuing-education course, the authors cover the minimumOCothe theoretical minimum of the titleOCothat readers need to master to study more advanced topics. An alternative to the conventional go-to-college method, "The Theoretical Minimum" provides a tool kit for amateur scientists to learn physics at their own pace. "
The Theoretical Minimum: What You Need to Know to Start Doing Physics (The Theoretical Minimum)
by Leonard Susskind George HrabovskyA world-class physicist and a citizen scientist combine forces to teach Physics 101--the DIY wayThe Theoretical Minimum is a book for anyone who has ever regretted not taking physics in college--or who simply wants to know how to think like a physicist. In this unconventional introduction, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Unlike most popular physics books--which give readers a taste of what physicists know but shy away from equations or math--Susskind and Hrabovsky actually teach the skills you need to do physics, beginning with classical mechanics, yourself. Based on Susskind's enormously popular Stanford University-based (and YouTube-featured) continuing-education course, the authors cover the minimum--the theoretical minimum of the title--that readers need to master to study more advanced topics.An alternative to the conventional go-to-college method, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.
Theoretical Modeling of Inorganic Nanostructures: Symmetry and ab initio Calculations of Nanolayers, Nanotubes and Nanowires (NanoScience and Technology)
by R. A. EvarestovThis book summarizes the state of the art in the theoretical modeling of inorganic nanostructures. Extending the first edition, published in 2015, it presents applications to new nanostructured materials and theoretical explanations of recently discovered optical and thermodynamic properties of known nanomaterials. It discusses the developments in theoretical modeling of nanostructures, describing fundamental approaches such as symmetry analysis and applied calculation methods. The book also examines the theoretical aspects of many thermodynamic and the optical properties of nanostructures. The new edition includes additional descriptions of the theoretical modeling of nanostructures in novel materials such as the V2O5 binary oxide, ZnS, CdS, MoSSe and SnS2.
Theoretical Modeling of Organohalide Perovskites for Photovoltaic Applications
by Giacomo Giorgi Koichi YamashitaPerovskites are a class of recently discovered crystals with a multitude of innovative applications. In particular, a lead role is played by organic-inorganic halide perovskites (OIHPs) in solar devices. In 2013 Science and Nature selected perovskite solar cells as one of the biggest scientific breakthroughs of that year. This book provides the first comprehensive account of theoretical aspects of perovskite solar cells, starting at an introductory level but covering the latest cutting-edge research. Theoretical Modeling of Organohalide Perovskites for Photovoltaic Applications aims to provide a theoretical standpoint on OIHPs and on their photovoltaic applications, with particular focus on the issues that are still limiting their usage in solar cells. This book explores the role that organic cations and defects play in the material properties of OIHPs and their effects on the final device, in addition to discussing the electric properties of OIHPs; the environmentally friendly alternatives to the use of lead in their structural and electronic properties; theoretical screening for OIHP-related material for solar-to-energy conversion; and the nature and the behavior of quasiparticles in OIHPs.
Theoretical Modeling of Vibrational Spectra in the Liquid Phase
by Martin ThomasThis thesis provides a comprehensive description of methods used to compute the vibrational spectra of liquid systems by molecular dynamics simulations. The author systematically introduces theoretical basics and discusses the implications of approximating the atomic nuclei as classical particles. The strengths of the methodology are demonstrated through several different examples. Of particular interest are ionic liquids, since their properties are governed by strong and diverse intermolecular interactions in the liquid state. As a novel contribution to the field, the author presents an alternative route toward infrared and Raman intensities on the basis of a Voronoi tessellation of the electron density. This technique is superior to existing approaches regarding the computational resources needed. Moreover, this book presents an innovative approach to obtaining the magnetic moments and vibrational circular dichroism spectra of liquids, and demonstrates its excellent agreement with experimental reference data.
Theoretical Modelling of Aeroheating on Sharpened Noses Under Rarefied Gas Effects and Nonequilibrium Real Gas Effects
by Zhi-Hui WangTheoretical Modelling of Aeroheating on Sharpened Noses under Rarefied Gas Effects and Nonequilibrium Real Gas Effects employs a theoretical modeling method to study hypersonic flows and aeroheating on sharpened noses under rarefied gas effects and nonequilibrium real gas effects that are beyond the scope of traditional fluid mechanics. It reveals the nonlinear and nonequilibrium features, discusses the corresponding flow and heat transfer mechanisms, and ultimately establishes an analytical engineering theory framework for hypersonic rarefied and chemical nonequilibrium flows. The original analytical findings presented are not only of great academic significance, but also hold considerable potential for applications in engineering practice. The study explores a viable new approach, beyond the heavily relied-upon numerical methods and empirical formulas, to the present research field, which could be regarded as a successful implementation of the idea and methodology of the engineering sciences.
Theoretical Molecular Biophysics
by Philipp O.J. Scherer Sighart F. FischerBiophysics deals with biological systems, such as proteins, which ful?ll a va- ety of functions in establishing living systems. While the biologistuses mostly a phenomenological description, the physicist tries to ?nd the general c- cepts to classify the materials and dynamics which underly speci?c processes. The phenomena span a wide range, from elementary processes, which can be induced by light excitation of a molecule, to communication of living s- tems. Thus, di?erent methods are appropriate to describe these phenomena. From the point of view of the physicist, this may be Continuum Mechanics to deal with membranes, Hydrodynamics to deal with transportthrough vessels, Bioinformatics to describe evolution, Electrostatics to deal with aspects of binding, Statistical Mechanics to account for temperature and to learn about the role of the entropy, and last but not least Quantum Mechanics to und- stand the electronic structure of the molecular systems involved. As can be seen from the title, Molecular Biophysics, this book will focus on systems for which su?cient information on the molecular level is available. Compared to crystallizedstandard materials studied in solid-state physics, the biological systems arecharacterizedby verybig unit cells containingproteinswith th- sands of atoms. In addition, there is always a certain amount of disorder, so that the systems can be classi?ed as complex. Surprisingly, the functions like a photocycle or the folding of a protein are highly reproducible, indicating a paradox situation in relation to the concept of maximum entropy production.
Theoretical Neuroscience: Understanding Cognition
by null Xiao-Jing WangThis textbook is an introduction to Systems and Theoretical/Computational Neuroscience, with a particular emphasis on cognition. It consists of three parts: Part I covers fundamental concepts and mathematical models in computational neuroscience, along with cutting-edge topics. Part II explores the building blocks of cognition, including working memory (how the brain maintains and manipulates information "online" without external input), decision making (how choices are made among multiple options under conditions of uncertainty and risk) and behavioral flexibility (how we direct attention and control actions). Part III is dedicated to frontier research, covering models of large-scale multi-regional brain systems, Computational Psychiatry and the interface with Artificial Intelligence. The author highlights the perspective of neural circuits as dynamical systems, and emphasizes a cross-level mechanistic understanding of the brain and mind, from genes and cell types to collective neural populations and behavior. Overall, this textbook provides an opportunity for readers to become well versed in this highly interdisciplinary field of the twenty-first century. Key Features Rooted in the most recent advances in experimental studies of basic cognitive functions Introduces neurobiological and mathematical concepts so that the book is self-contained Heavily illustrated with high-quality figures that help to illuminate neurobiological concepts, present experimental findings and explain mathematical models Concludes with a list of core cognitive behavior tasks, ten take-home messages and three open questions for future research Computer model codes are available via GitHub for hands-on practice
Theoretical Nuclear Physics (Dover Books on Physics)
by John M. Blatt Victor F. WeisskopfA classic work by two leading physicists and scientific educators endures as an uncommonly clear and cogent investigation and correlation of key aspects of theoretical nuclear physics. It is probably the most widely adopted book on the subject. The authors approach the subject as "the theoretical concepts, methods, and considerations which have been devised in order to interpret the experimental material and to advance our ability to predict and control nuclear phenomena."The present volume does not pretend to cover all aspects of theoretical nuclear physics. Its coverage is restricted to phenomena involving energies below about 50 Mev, a region sometimes called classical nuclear physics. Topics include studies of the nucleus, nuclear forces, nuclear spectroscopy and two-, three- and four-body problems, as well as explorations of nuclear reactions, beta-decay, and nuclear shell structure. The authors have designed the book for the experimental physicist working in nuclear physics or graduate students who have had at least a one-term course in quantum mechanics and who know the essential concepts and problems of nuclear physics.
Theoretical Physics: Second Edition (Dover Books on Physics)
by A. S. KompaneyetsThis authoritative volume by a renowned Russian scientist offers advanced students a thorough background in theoretical physics. The treatment's review of basic methods takes an approach that's as rigorous and systematic as it is practical.Chiefly devoted to mechanics, electrodynamics, quantum mechanics, and statistical mechanics, this book stresses atomic, nuclear, and microscopic matters. Subjects include the quantum theories of radiation, dispersal, and scattering and the application of statistical mechanics to electromagnetic fields and crystalline bodies. Particularly strong in its coverage of statistical physics, the text examines Boltzmann statistics, Bose and Fermi distributions, Gibbs statistics, thermodynamic quantities, thermodynamic properties of ideal gases in Boltzmann statistics, fluctuations, phase equilibrium, weak solutions, chemical equilibria, and surface phenomena. Many of the 137 exercises feature complete solutions. Translated by George Yankovsky under the author's supervision.
Theoretical Physics 2
by Wolfgang NoltingThis textbook offers a clear and comprehensive introduction to analytical mechanics, one of the core components of undergraduate physics courses. The book starts with a thorough introduction into Lagrangian mechanics, detailing the d'Alembert principle, Hamilton's principle and conservation laws. It continues with an in-depth explanation of Hamiltonian mechanics, illustrated by canonical and Legendre transformation, the generalization to quantum mechanics through Poisson brackets and all relevant variational principles. Finally, the Hamilton-Jacobi theory and the transition to wave mechanics are presented in detail. Ideally suited to undergraduate students with some grounding in classical mechanics, the book is enhanced throughout with learning features such as boxed inserts and chapter summaries, with key mathematical derivations highlighted to aid understanding. The text is supported by numerous worked examples and end of chapter problem sets. About the Theoretical Physics series Translated from the renowned and highly successful German editions, the eight volumes of this series cover the complete core curriculum of theoretical physics at undergraduate level. Each volume is self-contained and provides all the material necessary for the individual course topic. Numerous problems with detailed solutions support a deeper understanding. Wolfgang Nolting is famous for his refined didactical style and has been referred to as the "German Feynman" in reviews.
Theoretical Physics 4
by Wolfgang NoltingDer Grundkurs Theoretische Physik deckt in 7 B#65533;nden alle f#65533;r das Diplom und f#65533;r Bachelor/Master-Studieng#65533;nge ma#65533;geblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester notwendige theoretisch-physikalische R#65533;stzeug. #65533;bungsaufgaben mit ausf#65533;hrlichen L#65533;sungen dienen der Vertiefung des Stoffs. Der 4. Band behandelt die Gebiete Thermodynamik und Relativit#65533;tstheorie. F#65533;r die Neuauflage wurde er grundlegend #65533;berarbeitet und um 24 Aufgaben erg#65533;nzt. Durch die zweifarbige Gestaltung ist der Stoff jetzt noch #65533;bersichtlicher gegliedert.
Theoretical Physics 5
by Wolfgang NoltingDer Grundkurs Theoretische Physik deckt in 7 B#65533;nden alle f#65533;r das Diplom und f#65533;r Bachelor/Master-Studieng#65533;nge ma#65533;geblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester notwendige theoretisch-physikalische R#65533;stzeug. #65533;bungsaufgaben mit ausf#65533;hrlichen L#65533;sungen dienen der Vertiefung des Stoffs. Der 4. Band behandelt die Gebiete Thermodynamik und Relativit#65533;tstheorie. F#65533;r die Neuauflage wurde er grundlegend #65533;berarbeitet und um 24 Aufgaben erg#65533;nzt. Durch die zweifarbige Gestaltung ist der Stoff jetzt noch #65533;bersichtlicher gegliedert.