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Principles of Physics

Principles of Physics 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.



Quantum Field Theory with Application to Quantum Nonlinear Optics

Quantum Field Theory with Application to Quantum Nonlinear Optics Author Anatoliy K Prykarpatsky
ISBN-10 9789813102392
Release 2002-12-19
Pages 132
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Multi-photon excitation states of poly-atomic molecules undergoing a self-interaction via Kerr effect related processes are of great interest today. Their successful study must be both analytical and by means of modern quantum field theoretical tools. This book deals with these and related topics by developing modern quantum field theory methods for the analysis of radiative states in a nonlinear quantum-optical system. These lecture notes are ideally suited to graduate mathematical physics and physics students, but can also be of interest to mathematicians involved in applied physics problems, and physicists and chemists studying phenomena related with modern quantum-optical devices. Request Inspection Copy



Quantum Theory from First Principles

Quantum Theory from First Principles Author Giacomo Mauro D'Ariano
ISBN-10 9781107043428
Release 2017-02-09
Pages 400
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Quantum theory is the soul of theoretical physics. It is not just a theory of specific physical systems, but rather a new framework with universal applicability. This book shows how we can reconstruct the theory from six information-theoretical principles, by rebuilding the quantum rules from the bottom up. Step by step, the reader will learn how to master the counterintuitive aspects of the quantum world, and how to efficiently reconstruct quantum information protocols from first principles. Using intuitive graphical notation to represent equations, and with shorter and more efficient derivations, the theory can be understood and assimilated with exceptional ease. Offering a radically new perspective on the field, the book contains an efficient course of quantum theory and quantum information for undergraduates. The book is aimed at researchers, professionals, and students in physics, computer science and philosophy, as well as the curious outsider seeking a deeper understanding of the theory.



From Classical to Quantum Mechanics

From Classical to Quantum Mechanics 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.



Vector and Tensor Analysis with Applications

Vector and Tensor Analysis with Applications Author A. I. Borisenko
ISBN-10 9780486131900
Release 2012-08-28
Pages 288
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Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.



Mobius Inversion in Physics

Mobius Inversion in Physics 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.



Quirky Quantum Concepts

Quirky Quantum Concepts Author Eric L. Michelsen
ISBN-10 9781461493051
Release 2014-02-04
Pages 361
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Quirky Quantum Concepts explains the more important and more difficult concepts in theoretical quantum mechanics, especially those which are consistently neglected or confusing in many common expositions. The emphasis is on physical understanding, which is necessary for the development of new, cutting edge science. In particular, this book explains the basis for many standard quantum methods, which are too often presented without sufficient motivation or interpretation. The book is not a simplification or popularization: it is real science for real scientists. Physics includes math, and this book does not shy away from it, but neither does it hide behind it. Without conceptual understanding, math is gibberish. The discussions here provide the experimental and theoretical reasoning behind some of the great discoveries, so the reader may see how discoveries arise from a rational process of thinking, a process which Quirky Quantum Concepts makes accessible to its readers. Quirky Quantum Concepts is therefore a supplement to almost any existing quantum mechanics text. Students and scientists will appreciate the combination of conversational style, which promotes understanding, with thorough scientific accuracy.



Beyond Classical Physics

Beyond Classical Physics 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.



Digestible Quantum Field Theory

Digestible Quantum Field Theory 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.



The Problem of Time

The Problem of Time 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.



100 Years of Subatomic Physics

100 Years of Subatomic Physics 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



Quantum Field Theory and Condensed Matter

Quantum Field Theory and Condensed Matter Author Ramamurti Shankar
ISBN-10 9781108363983
Release 2017-08-31
Pages
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Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm–Pines and Chern–Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.



Mathematics For Physics An Illustrated Handbook

Mathematics For Physics  An Illustrated Handbook Author Marsh Adam
ISBN-10 9789813233935
Release 2017-11-27
Pages 300
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This unique book complements traditional textbooks by providing a visual yet rigorous survey of the mathematics used in theoretical physics beyond that typically covered in undergraduate math and physics courses. The exposition is pedagogical but compact, and the emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions, alternative notations and jargon, and relevant facts and theorems. Special attention is given to detailed figures and geometric viewpoints. Certain topics which are well covered in textbooks, such as historical motivations, proofs and derivations, and tools for practical calculations, are avoided. The primary physical models targeted are general relativity, spinors, and gauge theories, with notable chapters on Riemannian geometry, Clifford algebras, and fiber bundles. Contents: Mathematical StructuresAbstract AlgebraVector AlgebrasTopological SpacesAlgebraic TopologyManifoldsLie GroupsClifford GroupsRiemannian ManifoldsFiber BundlesCategories and Functors Readership: Students in mathematics and physics who want to explore a level deeper into actual mathematical content. Keywords: Gauge Theory;Spinor;Clifford Algebra;Homology;Homotopy;Differential Geometry;Lie Group;Lie Algebra;Pauli Matrix;Dirac Matrix;Riemannian Geometry;Parallel Transport;Ricci Curvature;Divergence;Ehresmann ConnectionReview: Key Features: The approach taken by this book to the subject material differs from other titles in that it is intuitive and visual yet also mathematically rigorous, allowing concise coverage of a large breadth of material and providing a cross-subject synthesis while at the same time serving as a useful referenceThe book is also unique in that it can be used in three ways: as the basis for a course, as a supporting text for related courses, and as a reference. These uses could apply to both undergraduate and graduate students. In addition, there is a substantial audience for the book among independent researchers, amateur physicists, and readers of popular science who want to explore a level deeper into actual mathematical contentThe treatments of Riemannian geometry, Clifford algebras, and fiber bundles are particularly notable, including detailed figures and geometric viewpoints that would seem to be novel to the literature



CLASSICAL MECHANICS

CLASSICAL MECHANICS 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.



Xvith International Congress on Mathematical Physics with Dvd rom

Xvith International Congress on Mathematical Physics  with Dvd rom 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.



Field Theories

Field Theories Author Samiya Bashir
ISBN-10 1937658635
Release 2017-03-07
Pages 72
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Field Theories wends its way through quantum mechanics, chicken wings, Newports, and love, melding blackbody theory (idealized perfect absorption vs. the whitebody s idealized reflection) with live Black bodies. Woven through experimental lyrics is a heroic crown of sonnets that wonders about love, intent, identity, hybridity, and how we embody these interstices. Albert Murray said, The second law of thermodynamics ain t nothin but the blues. So what is the blue of how we treat each other, ourselves, and the world, and of how the world treats us?"



Modern Classical Physics

Modern Classical Physics 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