Introduction To Continuous Symmetries
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Introduction To Continuous Symmetries
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Author : Franck Laloë
language : en
Publisher: John Wiley & Sons
Release Date : 2023-07-10
Introduction To Continuous Symmetries written by Franck Laloë and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-10 with Science categories.
Introduction to Continuous Symmetries Powerful and practical symmetry-based approaches to quantum phenomena In Introduction to Continuous Symmetries, distinguished researcher Franck Laloë delivers an insightful and thought-provoking work demonstrating that the underlying equations of quantum mechanics emerge from very general symmetry considerations without the need to resort to artificial or ambiguous quantization rules. Starting at an elementary level, this book explains the computational techniques such as rotation invariance, irreducible tensor operators, the Wigner—Eckart theorem, and Lie groups that are necessary to understand nuclear physics, quantum optics, and advanced solid-state physics. The author offers complementary resources that expand and elaborate on the fundamental concepts discussed in the book’s ten accessible chapters. Extensively explained examples and discussions accompany the step-by-step physical and mathematical reasoning. Readers will also find: A thorough introduction to symmetry transformations, including fundamental symmetries, symmetries in classical mechanics, and symmetries in quantum mechanics Comprehensive explorations of group theory, including the general properties and linear representations of groups Practical discussions of continuous groups and Lie groups, in particular SU(2) and SU(3) In-depth treatments of representations induced in the state space, including discussions of Wigner’s Theorem and the transformation of observables Perfect for students of physics, mathematics, and theoretical chemistry, Introduction to Continuous Symmetries will also benefit theoretical physicists and applied mathematicians.
Introduction To Symmetry Analysis
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Author : Brian J. Cantwell
language : en
Publisher: Cambridge University Press
Release Date : 2002-09-26
Introduction To Symmetry Analysis written by Brian J. Cantwell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-26 with Mathematics categories.
Introduction To Frustrated Magnetism
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Author : Claudine Lacroix
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-12
Introduction To Frustrated Magnetism written by Claudine Lacroix and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-12 with Science categories.
The field of highly frustrated magnetism has developed considerably and expanded over the last 15 years. Issuing from canonical geometric frustration of interactions, it now extends over other aspects with many degrees of freedom such as magneto-elastic couplings, orbital degrees of freedom, dilution effects, and electron doping. Its is thus shown here that the concept of frustration impacts on many other fields in physics than magnetism. This book represents a state-of-the-art review aimed at a broad audience with tutorial chapters and more topical ones, encompassing solid-state chemistry, experimental and theoretical physics.
Introduction To Quantum Electrodynamics And Particle Physics
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Author : Deep Chandra Joshi
language : en
Publisher: Techsar Pvt. Ltd.
Release Date : 2022-03-02
Introduction To Quantum Electrodynamics And Particle Physics written by Deep Chandra Joshi and has been published by Techsar Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-02 with Computers categories.
Apart from updating the existing text of 1st edition two new chapters, namely, Mandelstam Variables and Symmetries of Scattering Amplitude and Regge Poles have been included in this edition. The former, that constitutes the seventh chapter of the book, introduces Mandelstam variables and describes at length the s-channel, t-channel and the u-channel processes for both the equal and unequal masses of participating particles. The conditions for the occurrence of these channel processes have been made explicit through the Mandelstam plot. Introducing scattering amplitude as the matrix element of S-matrix, the crossing and Bose symmetries of scattering amplitudes for s-, t-, u-channel scatterings have been explained and the analyticity of scattering amplitude has been elucidated through examples. The topic Regge poles, describes the study of resonances and Regge poles that can be undertaken through the scattering process. Due to the significant role of partial waves in the chapter, the scattering process has been explained through the partial wave analysis and the scattering cross section has been expressed in terms of scattering amplitude and by the optical theorem. Assignments have been given at the end of each chapter, which contain descriptive questions as well as problems. A new feature of the book is that it has a substantial number of objective type questions to help aspirants of GATE, NET and related examinations. Most of the topics forming the model syllabus of University Grants Commission for Post Graduate Particle Physics (III Semester), Nuclear and Particle Physics (IV Semester, Strong, Weak and Electromagnetic Interactions) and Quantum Electrodynamics have been covered in the book. The topics have been developed in a pedagogical manner by providing all possible algebraic details.
Introduction To Nuclear And Particle Physics 2nd Edition
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Author : Ashok Das
language : en
Publisher: World Scientific
Release Date : 2003-12-23
Introduction To Nuclear And Particle Physics 2nd Edition written by Ashok Das and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-23 with Science categories.
The original edition of Introduction to Nuclear and Particle Physics was used with great success for single-semester courses on nuclear and particle physics offered by American and Canadian universities at the undergraduate level. It was also translated into German, and used overseas. Being less formal but well-written, this book is a good vehicle for learning the more intuitive rather than formal aspects of the subject. It is therefore of value to scientists with a minimal background in quantum mechanics, but is sufficiently substantive to have been recommended for graduate students interested in the fields covered in the text.In the second edition, the material begins with an exceptionally clear development of Rutherford scattering and, in the four following chapters, discusses sundry phenomenological issues concerning nuclear properties and structure, and general applications of radioactivity and of the nuclear force. This is followed by two chapters dealing with interactions of particles in matter, and how these characteristics are used to detect and identify such particles. A chapter on accelerators rounds out the experimental aspects of the field. The final seven chapters deal with elementary-particle phenomena, both before and after the realization of the Standard Model. This is interspersed with discussion of symmetries in classical physics and in the quantum domain, bringing into full focus the issues concerning CP violation, isotopic spin, and other symmetries. The final three chapters are devoted to the Standard Model and to possibly new physics beyond it, emphasizing unification of forces, supersymmetry, and other exciting areas of current research.The book contains several appendices on related subjects, such as special relativity, the nature of symmetry groups, etc. There are also many examples and problems in the text that are of value in gauging the reader's understanding of the material.
An Introduction To Stellarators
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Author : Lise-Marie Imbert-Gérard
language : en
Publisher: SIAM
Release Date : 2024-12-10
An Introduction To Stellarators written by Lise-Marie Imbert-Gérard and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-10 with Mathematics categories.
This self-contained book is the first to provide readers with an introduction to the mathematical foundations of stellarator design and modeling. It covers the fundamental theoretical building blocks of modeling magnetic fields, some of the associated challenges, and the main concepts behind optimization for the design of stellarators. The book is divided into two parts, with Part I providing a general introduction to the stellarator concept and Part II describing mathematical models and numerical methods commonly used in stellarator design. The authors derive, present, and discuss relevant models, using equations and figures to demonstrate the main ideas. They carefully select language that is close to the plasma physics literature, while providing enough details to be accessible to a reader without previous background in this field. An Introduction to Stellarators: From Magnetic Fields to Symmetries and Optimization is intended for mathematicians, physicists, and engineers interested in learning about stellarators. Readers are expected to have a basic knowledge of classical physics, partial differential equations, and variational calculus, but prior knowledge of plasma physics is not required.
Introduction To Condensed Matter Physics Volume 1
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Author : Duan Feng
language : en
Publisher: World Scientific Publishing Company
Release Date : 2005-07-04
Introduction To Condensed Matter Physics Volume 1 written by Duan Feng and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-04 with Science categories.
This is volume 1 of two-volume book that presents an excellent, comprehensive exposition of the multi-faceted subjects of modern condensed matter physics, unified within an original and coherent conceptual framework. Traditional subjects such as band theory and lattice dynamics are tightly organized in this framework, while many new developments emerge spontaneously from it. In this volume,• Basic concepts are emphasized; usually they are intuitively introduced, then more precisely formulated, and compared with correlated concepts.• A plethora of new topics, such as quasicrystals, photonic crystals, GMR, TMR, CMR, high Tc superconductors, Bose-Einstein condensation, etc., are presented with sharp physical insights.• Bond and band approaches are discussed in parallel, breaking the barrier between physics and chemistry.• A highly accessible chapter is included on correlated electronic states — rarely found in an introductory text.• Introductory chapters on tunneling, mesoscopic phenomena, and quantum-confined nanostructures constitute a sound foundation for nanoscience and nanotechnology.• The text is profusely illustrated with about 500 figures.
Introduction To Advanced Electrodynamics
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Author : Kaushik Bhattacharya
language : en
Publisher: Springer Nature
Release Date : 2022-01-25
Introduction To Advanced Electrodynamics written by Kaushik Bhattacharya and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-25 with Science categories.
This book summarizes the basics of electricity and magnetism prior to covariant formulation of Maxwell's equations. The book works out the basics of special relativity and then applies the covariant formalism to understand radiation, both in vacuum and in material medium. The emphasis is on cleaner mathematical formalism based on experimental facts. The book contains many problems/exercises which will help the students to understand the basics of the subject. The difference between the present book with existing books of this level lies in the presentation of the topics and the subjects chosen. Instead of presenting a lot of material related to electromagnetism, it presents some very important but selected problems of advanced electromagnetism to students who are learning it for the first time. This book is aimed at graduate/advanced graduate students who have done at least one basic level course in electricity and magnetism.
An Introduction To Advanced Quantum Physics
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Author : Hans Paar
language : en
Publisher: John Wiley & Sons
Release Date : 2010-04-06
An Introduction To Advanced Quantum Physics written by Hans Paar and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-06 with Science categories.
An Introduction to Advanced Quantum Physics presents important concepts from classical mechanics, electricity and magnetism, statistical physics, and quantum physics brought together to discuss the interaction of radiation and matter, selection rules, symmetries and conservation laws, scattering, relativistic quantum mechanics, apparent paradoxes, elementary quantum field theory, electromagnetic and weak interactions, and much more. This book consists of two parts: Part 1 comprises the material suitable for a second course in quantum physics and covers: Electromagnetic Radiation and Matter Scattering Symmetries and Conservation Laws Relativistic Quantum Physics Special Topics Part 2 presents elementary quantum field theory and discusses: Second Quantization of Spin 1/2 and Spin 1 Fields Covariant Perturbation Theory and Applications Quantum Electrodynamics Each chapter concludes with problems to challenge the students’ understanding of the material. This text is intended for graduate and ambitious undergraduate students in physics, material sciences, and related disciplines.
Applications Of Symmetry Methods To Partial Differential Equations
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Author : George W. Bluman
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-30
Applications Of Symmetry Methods To Partial Differential Equations written by George W. Bluman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-30 with Mathematics categories.
This is an acessible book on the advanced symmetry methods for differential equations, including such subjects as conservation laws, Lie-Bäcklund symmetries, contact transformations, adjoint symmetries, Nöther's Theorem, mappings with some modification, potential symmetries, nonlocal symmetries, nonlocal mappings, and non-classical method. Of use to graduate students and researchers in mathematics and physics.