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Author | Jun Ni | |

ISBN-10 | 9789813227118 | |

Release | 2017-06-28 | |

Pages | 560 | |

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This book starts from a set of common basic principles to establish the basic formalisms of all disciplines of fundamental physics, including quantum field theory, quantum mechanics, statistical mechanics, thermodynamics, general relativity, electromagnetism, and classical mechanics. Instead of the traditional pedagogic way, the author arranges the subjects and formalisms in a logical order, i.e. all the formulas are derived from the formulas before them. The formalisms are also kept self-contained. Most mathematical tools are given in the appendices. Although this book covers all the disciplines of fundamental physics, it contains only a single volume because the contents are kept concise and treated as an integrated entity, which is consistent with the motto that simplicity is beauty, unification is beauty, and thus physics is beauty. This can be used as an advanced textbook for graduate students. It is also suitable for physicists who wish to have an overview of fundamental physics. Contents: PrefacePreface to the Second EditionBasic PrinciplesQuantum FieldsQuantum Fields in the Riemann SpacetimeSymmetry BreakingInteracting Quantum FieldsFrom Quantum Field Theory to Quantum MechanicsElectromagnetic FieldQuantum MechanicsApplications of Quantum MechanicsStatistical MechanicsApplications of Statistical MechanicsRelativity TheoryAppendices:TensorsFunctional FormulaGaussian IntegralsGrassmann AlgebraEuclidean RepresentationSome Useful FormulasJacobianGeodesic EquationBibliographyIndex Readership: This is suitable for graduate students and physicists who wish to have an overview of fundamental physics. |

Author | Giampiero Esposito | |

ISBN-10 | 1139450549 | |

Release | 2004-03-11 | |

Pages | ||

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This 2004 textbook provides a pedagogical introduction to the formalism, foundations and applications of quantum mechanics. Part I covers the basic material which is necessary to understand the transition from classical to wave mechanics. Topics include classical dynamics, with emphasis on canonical transformations and the Hamilton-Jacobi equation, the Cauchy problem for the wave equation, Helmholtz equation and eikonal approximation, introduction to spin, perturbation theory and scattering theory. The Weyl quantization is presented in Part II, along with the postulates of quantum mechanics. Part III is devoted to topics such as statistical mechanics and black-body radiation, Lagrangian and phase-space formulations of quantum mechanics, and the Dirac equation. This book is intended for use as a textbook for beginning graduate and advanced undergraduate courses. It is self-contained and includes problems to aid the reader's understanding. |

Author | Mark A. Cunningham | |

ISBN-10 | 9783319631608 | |

Release | 2017-11-24 | |

Pages | 358 | |

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This undergraduate textbook discusses the nature of the microscopic universe from a modern perspective, based on Einstein's notions of relativity and Noether's proof of the emergence of conservation laws from symmetries of the equations of motion. These ideas drove the development of the Standard Model of particle physics and subsequent attempts to define a unified (string) theory. The second half of the book explores various aspects of many-body physics, ranging from chemical systems to plasmas to black holes. Like the previous textbook authored by by Mark Cunningham, Neoclassical Physics, this text uses a guided discovery approach of instruction, highlighting the experimental results that drove development of our modern picture of subatomic physics. Many problems utilize Mathematica® software to enable students to explore the meaning of different equations in a graphical manner. Students will gain an appreciation of the current state of physical theory, in preparation for more detailed, advanced study as upperclassmen. |

Author | Nanxian Chen | |

ISBN-10 | 9789814291644 | |

Release | 2010 | |

Pages | 288 | |

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This book attempts to bridge the gap between the principles of pure mathematics and the applications in physical science. After the Mobius inversion formula had been considered as purely academic, or beyond what was useful in the physics community for more than 150 years, the apparently obscure result in classical mathematics suddenly appears to be connected to a variety of important inverse problems in physical science. This book only requires readers to have some background in elementary calculus and general physics, and prerequisite knowledge of number theory is not needed. It will be attractive to our multidisciplinary readers interested in the Mobius technique, which is a tiny but important part of the number-theoretic methods. It will inspire many students and researchers in both physics and mathematics. In a practical problem, continuity and discreteness are often correlated, and few textbook have given attention to this wide and important field as this book. Clearly, this book will be an essential supplement for many existing courses such as mathematical physics, elementary number theory and discrete mathematics. |

Author | Edward Anderson | |

ISBN-10 | 9783319588483 | |

Release | 2017-09-18 | |

Pages | 920 | |

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This book is a treatise on time and on background independence in physics. It first considers how time is conceived of in each accepted paradigm of physics: Newtonian, special relativity, quantum mechanics (QM) and general relativity (GR). Substantial differences are moreover uncovered between what is meant by time in QM and in GR. These differences jointly source the Problem of Time: Nine interlinked facets which arise upon attempting concurrent treatment of the QM and GR paradigms, as is required in particular for a background independent theory of quantum gravity. A sizeable proportion of current quantum gravity programs - e.g. geometrodynamical and loop quantum gravity approaches to quantum GR, quantum cosmology, supergravity and M-theory - are background independent in this sense. This book's foundational topic is thus furthermore of practical relevance in the ongoing development of quantum gravity programs. This book shows moreover that eight of the nine facets of the Problem of Time already occur upon entertaining background independence in classical (rather than quantum) physics. By this development, and interpreting shape theory as modelling background independence, this book further establishes background independence as a field of study. Background independent mechanics, as well as minisuperspace (spatially homogeneous) models of GR and perturbations thereabout are used to illustrate these points. As hitherto formulated, the different facets of the Problem of Time greatly interfere with each others' attempted resolutions. This book explains how, none the less, a local resolution of the Problem of Time can be arrived at after various reconceptualizations of the facets and reformulations of their mathematical implementation. Self-contained appendices on mathematical methods for basic and foundational quantum gravity are included. Finally, this book outlines how supergravity is refreshingly different from GR as a realization of background independence, and what background independence entails at the topological level and beyond. |

Author | Ernest M Henley | |

ISBN-10 | 9789814425827 | |

Release | 2013-06-28 | |

Pages | 560 | |

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By year 1911 radioactivity had been discovered for over a decade, but its origin remained a mystery. Rutherford's discovery of the nucleus and the subsequent discovery of the neutron by Chadwick started the field of subatomic physics — a quest for understanding the fundamental constituents of matter. This book reviews the important achievements in subatomic physics in the past century. The chapters are divided into two parts: nuclear physics and particle physics. Written by renowned authors who have made major developments in the field, this book provides the academics and researchers an essential overview of the present state of knowledge in nuclear and particle physics. Contents:Nuclear Physics:Particle Physics, From Rutherford to the LHC (S Weinberg)The Early Years and Beyond (E M Henley and A García)100 Years of Nuclear Mass Measurements and Models (G T Garvey)Symmetries and Dynamical Symmetries in Nuclei (I Talmi)Nuclear Fission (R Vogt and J Randrup)Parity- and Time-Reversal Tests in Nuclear Physics (D Hertzog and M J Ramsey-Musolf)High Energy Nuclear Physics: From Bear Mountain to the LHC (L McLerran)Chiral Symmetry in Subatomic Physics (U-G Meiβner)Exotic Nuclei Far From the Stability Line (K Hagino, I Tanihata and H Sagawa)Particle Physics:A Short History of Colliders (L Evans)4π-Detectors (C Tully)Large Underground Detectors for Proton Decay and Neutrino Physics (K Scholberg)Jets and QCD (S D Ellis and D E Soper)Diffractive Phenomena in High Energy Processes (L Frankfurt and M Strikman)Weak Interactions: From Current–Current to Standard Model and Beyond (R N Mohapatra)Neutrino Physics (L Wolfenstein)Introduction to Renormalization in Field Theory (L-F Li)Lattice Gauge Theory and the Origin of Mass (A S Kronfeld)String Theory and M-Theory (J H Schwarz) Readership: Students, researchers and academics interested in nuclear and particle physics. Keywords:Nuclear and Particle Physics;Symmetries;Conservation Laws;Quarks;Neutrinos;AstrophysicsReviews: “Each essay's overall breadth and understanding are impressive, and the separate chapters combine to make this work an unprecedented survey of sub-atomic physics research spanning the last 100 years, with insights into where it might head in the century to come.” Australian Physics |

Author | Andrei Smilga | |

ISBN-10 | 9783319599229 | |

Release | 2017-12-30 | |

Pages | 351 | |

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This book gives an intermediate level treatment of quantum field theory, appropriate to a reader with a first degree in physics and a working knowledge of special relativity and quantum mechanics. It aims to give the reader some understanding of what QFT is all about, without delving deep into actual calculations of Feynman diagrams or similar. The author serves up a seven‐course menu, which begins with a brief introductory Aperitif. This is followed by the Hors d'oeuvres, which set the scene with a broad survey of the Universe, its theoretical description, and how the ideas of QFT developed during the last century. In the next course, the Art of Cooking, the author recaps on some basic facts of analytical mechanics, relativity, quantum mechanics and also presents some nutritious “extras” in mathematics (group theory at the elementary level) and in physics (theory of scattering). After these preparations, the reader should have a good appetite for the Entrées ‐ the central par t of the book where the Standard Model is described and explained. After Trou Normand, the restive pause including human stories about physicists and no formulas, the author serves the Dessert, devoted to supersymmetry (a very beautiful theory that is still awaiting a direct experimental confirmation), to general relativity and to the mystery of quantum gravity. |

Author | G. ARULDHAS | |

ISBN-10 | 9788120333314 | |

Release | 2008-02-14 | |

Pages | 384 | |

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This book offers an in-depth presentation of the mechanics of particles and systems. The material is thoroughly class-tested and hence eminently suitable as a textbook for a one-semester course in Classical Mechanics for postgraduate students of physics and mathematics. Besides, the book can serve as a useful reference for engineering students at the postgraduate level. The book provides not only a complete treatment of classical theoretical physics but also an enormous number of worked examples and problems to show students clearly how to apply abstract principles and mathematical techniques to realistic problems. While abstraction of theory is minimized, detailed mathematical analysis is provided wherever necessary. Besides an all-embracing coverage of different aspects of classical mechanics, the rapidly growing areas of nonlinear dynamics and chaos are are also included. The chapter on Central Force Motion includes topics like satellite parameters, orbital transfers and scattering problem. An extensive treatment on the essentials of small oscillations which is crucial for the study of molecular vibrations is included. Rigid body motion and special theory of relativity are also covered in two separate chapters. |

Author | Pavel Exner | |

ISBN-10 | 9789814304634 | |

Release | 2010 | |

Pages | 708 | |

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The International Congress on Mathematical Physics is the flagship conference in this exciting field. Convening every three years, it gives a survey on the progress achieved in all branches of mathematical physics. It also provides a superb platform to discuss challenges and new ideas. The present volume collects material from the XVIth ICMP which was held in Prague, August 2009, and features most of the plenary lectures and invited lectures in topical sessions as well as information on other parts of the congress program. This volume provides a broad coverage of the field of mathematical physics, from dominantly mathematical subjects to particle physics, condensed matter, and application of mathematical physics methods in various areas such as astrophysics and ecology, amongst others. |

Author | Kip S. Thorne | |

ISBN-10 | 9781400848898 | |

Release | 2017-09-05 | |

Pages | 1552 | |

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This first-year, graduate-level text and reference book covers the fundamental concepts and twenty-first-century applications of six major areas of classical physics that every masters- or PhD-level physicist should be exposed to, but often isn't: statistical physics, optics (waves of all sorts), elastodynamics, fluid mechanics, plasma physics, and special and general relativity and cosmology. Growing out of a full-year course that the eminent researchers Kip Thorne and Roger Blandford taught at Caltech for almost three decades, this book is designed to broaden the training of physicists. Its six main topical sections are also designed so they can be used in separate courses, and the book provides an invaluable reference for researchers. Presents all the major fields of classical physics except three prerequisites: classical mechanics, electromagnetism, and elementary thermodynamics Elucidates the interconnections between diverse fields and explains their shared concepts and tools Focuses on fundamental concepts and modern, real-world applications Takes applications from fundamental, experimental, and applied physics; astrophysics and cosmology; geophysics, oceanography, and meteorology; biophysics and chemical physics; engineering and optical science and technology; and information science and technology Emphasizes the quantum roots of classical physics and how to use quantum techniques to elucidate classical concepts or simplify classical calculations Features hundreds of color figures, some five hundred exercises, extensive cross-references, and a detailed index An online illustration package is available to professors |

Author | C. Truesdell | |

ISBN-10 | 9781461381853 | |

Release | 2012-12-06 | |

Pages | 654 | |

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When, after the agreeable fatigues of solicitation, Mrs Millamant set out a long bill of conditions subject to which she might by degrees dwindle into a wife, Mirabell offered in return the condition that he might not thereby be beyond measure enlarged into a husband. With age and experience in research come the twin dangers of dwindling into a philosopher of science while being enlarged into a dotard. The philosophy of science, I believe, should not be the preserve of senile scientists and of teachers of philosophy who have themselves never so much as understood the contents of a textbook of theoretical physics, let alone done a bit of mathematical research or even enjoyed the confidence of a creating scientist. On the latter count I run no risk: Any reader will see that I am untrained (though not altogether unread) in classroom philosophy. Of no ignorance of mine do I boast, indeed I regret it, but neither do I find this one ignorance fatal here, for few indeed of the great philosophers to explicate whose works hodiernal professors of phil osophy destroy forests of pulp were themselves so broadly and specially trained as are their scholiasts. In attempt to palliate the former count I have chosen to collect works written over the past thirty years, some of them not published before, and I include only a few very recent essays. |

Author | Tai L. Chow | |

ISBN-10 | 9781466569980 | |

Release | 2013-05-01 | |

Pages | 639 | |

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Classical Mechanics, Second Edition presents a complete account of the classical mechanics of particles and systems for physics students at the advanced undergraduate level. The book evolved from a set of lecture notes for a course on the subject taught by the author at California State University, Stanislaus, for many years. It assumes the reader has been exposed to a course in calculus and a calculus-based general physics course. However, no prior knowledge of differential equations is required. Differential equations and new mathematical methods are developed in the text as the occasion demands. The book begins by describing fundamental concepts, such as velocity and acceleration, upon which subsequent chapters build. The second edition has been updated with two new sections added to the chapter on Hamiltonian formulations, and the chapter on collisions and scattering has been rewritten. The book also contains three new chapters covering Newtonian gravity, the Hamilton-Jacobi theory of dynamics, and an introduction to Lagrangian and Hamiltonian formulations for continuous systems and classical fields. To help students develop more familiarity with Lagrangian and Hamiltonian formulations, these essential methods are introduced relatively early in the text. The topics discussed emphasize a modern perspective, with special note given to concepts that were instrumental in the development of modern physics, for example, the relationship between symmetries and the laws of conservation. Applications to other branches of physics are also included wherever possible. The author provides detailed mathematical manipulations, while limiting the inclusion of the more lengthy and tedious ones. Each chapter contains homework problems of varying degrees of difficulty to enhance understanding of the material in the text. This edition also contains four new appendices on D'Alembert's principle and Lagrange's equations, derivation of Hamilton’s principle, Noether’s theorem, and conic sections. |

Author | Viktor Mikhaĭlovich Galit︠s︡kiĭ | |

ISBN-10 | 9780199232727 | |

Release | 2013-02-28 | |

Pages | 881 | |

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It is notoriously difficult to come up with a new quantum-mechanical problem that would be solvable with a pencil and paper within a finite amount of time and that would provide a useful insight into the fascinating world of quantum physics. Any person who has taught quantum mechanics is certainly aware that there is a lack of such solvable problems in quantum mechanics. In fact, it is exactly this deficit of illuminating examples and practical exercises that make learning and teaching quantum physics so complicated. It is very difficult to understand fundamentally new concepts without real-life examples. Despite this difficulty, this book remarkably presents some 700+ problems in quantum mechanics together with solutions. They are largely new to the English-speaking audience. The problems have been collected over about 60 years, first by the lead author, the late Prof. Victor Galitski, Sr. Over the years, new problems were added and the material polished by Prof. Karnakov.Finally, the translator Prof. Victor Galitski, Jr, has edited the material for the modern English-speaking audience and extended it with new problems particularly relevant to modern science. |

Author | Peter Collier | |

ISBN-10 | 9780957389465 | |

Release | 2017-04-01 | |

Pages | 274 | |

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A clear and enjoyable guide to the mathematics of relativity To really understand relativity – one of the cornerstones of modern physics – you have to get to grips with the mathematics. This user-friendly self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. The book is written using straightforward and accessible language, with clear derivations and explanations as well as numerous fully solved problems. For those with minimal mathematical background, the first chapter provides a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes and relativistic cosmology. Following the historic 2015 LIGO (Laser Interferometer Gravitational-Wave Observatory) detection, there is now an additional chapter on gravitational waves, ripples in the fabric of spacetime that potentially provide a revolutionary new way to study the universe. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes. Understand even the basics of Einstein's amazing theory and the world will never seem the same again. March 2017. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity. |

Author | National Research Council | |

ISBN-10 | 9780309260435 | |

Release | 2013-02-25 | |

Pages | 276 | |

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The principal goals of the study were to articulate the scientific rationale and objectives of the field and then to take a long-term strategic view of U.S. nuclear science in the global context for setting future directions for the field. Nuclear Physics: Exploring the Heart of Matter provides a long-term assessment of an outlook for nuclear physics. The first phase of the report articulates the scientific rationale and objectives of the field, while the second phase provides a global context for the field and its long-term priorities and proposes a framework for progress through 2020 and beyond. In the second phase of the study, also developing a framework for progress through 2020 and beyond, the committee carefully considered the balance between universities and government facilities in terms of research and workforce development and the role of international collaborations in leveraging future investments. Nuclear physics today is a diverse field, encompassing research that spans dimensions from a tiny fraction of the volume of the individual particles (neutrons and protons) in the atomic nucleus to the enormous scales of astrophysical objects in the cosmos. Nuclear Physics: Exploring the Heart of Matter explains the research objectives, which include the desire not only to better understand the nature of matter interacting at the nuclear level, but also to describe the state of the universe that existed at the big bang. This report explains how the universe can now be studied in the most advanced colliding-beam accelerators, where strong forces are the dominant interactions, as well as the nature of neutrinos. |

Author | Norbert Wiener | |

ISBN-10 | 9780786752263 | |

Release | 1988-03-22 | |

Pages | 200 | |

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Only a few books stand as landmarks in social and scientific upheaval. Norbert Wiener's classic is one in that small company. Founder of the science of cybernetics—the study of the relationship between computers and the human nervous system—Wiener was widely misunderstood as one who advocated the automation of human life. As this book reveals, his vision was much more complex and interesting. He hoped that machines would release people from relentless and repetitive drudgery in order to achieve more creative pursuits. At the same time he realized the danger of dehumanizing and displacement. His book examines the implications of cybernetics for education, law, language, science, technology, as he anticipates the enormous impact—in effect, a third industrial revolution—that the computer has had on our lives. |

Author | Lev P Gor'kov | |

ISBN-10 | 9789814632089 | |

Release | 2014-09-26 | |

Pages | 404 | |

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The author of this unique volume, Lev P Gor'kov is internationally renowned for his seminal contribution in the fundamentals of the Theory of Superconductivity, Theory of Metals, the field of Quantum Statistical Physics, and more generally, Organic Metals and the like. Each reprints' group is preceded by the author's introductions and commentaries clarifying the formulation of a problem, summarizing the essence of the results and placing them in the context of recent developments. The author belongs to the last generation of scientists who were the direct disciples of the legendary Russian theorist Lev Landau. And Gor'kov's achievements reflect the unique style and the originality of this famous Scientific School. As with other Russian scientists of his generation, many of the pioneering papers by Lev Gor'kov have been published in the Russian journals that are hard-to-reach for modern readers, students and postdocs. Allowing readers a glimpse into the various ways that the field of condensed matter physics was evolving for more than half a century, the volume is a valuable source for historians of science. Contents:IntroductionFundamentals of Theory of SuperconductivityStatistical Physics and ThermodynamicsQuantum MechanicsTheory of Metals and SuperconductorsOrganic ConductorsLocalization on Defects and Statistics of Levels in Low DimensionHydrodynamicsQuantum ElectrodynamicsMaterials: HTSC Cuprates, Manganites, Fe-based Superconductors Readership: For researchers in condensed matter physics, including postdoctoral and advanced graduate students. It may also be of interest to historians of science, as well as the general public with a university level of education. Key Features:Lev P Gor'kov is universally acclaimed for his groundbreaking contributions on the theory of many-body systemThe book includes reprints of numerous outstanding publications that — having been published in Russian Journals — remain hard-to-reach for the English-speaking audienceThe Gor'kov's publications collected in the book provide a unique glimpse into the style, methods and the original approach to physics characteristic of the famous Russian theoretical SchoolsIn his successful career, Lev Gor'kov has worked in many areas of theoretical physics and each topic in the book is supplied with the author's remarks and a discussion intended to put the results into the current contextKeywords:Diagrammatic Methods in Theory of Superconductivity;Unconventional Superconductors;Low-Dimensional Physics;Methods of Statistical Physics;Organic Conductors;Exchange Interaction;Convection |