Symmetries And Spin

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Time-Reversal Symmetry

Author : Ion I. Geru
Publisher : Springer
ISBN 13 : 3030012107
Total Pages : 372 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Time-Reversal Symmetry by : Ion I. Geru

Download or read book Time-Reversal Symmetry written by Ion I. Geru and published by Springer. This book was released on 2018-12-31 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces new developments in the field of Time-Reversal Symmetry presenting, for the first time, the Wigner time-reversal operator in the form of a product of two- or three time-reversal operators of lower symmetry. The action of these operators leads to the sign change of only one or two angular momentum components, not of all of them. It demonstrates that there are six modes of time-reversal symmetry breaking that do not lead to the complete disappearance of the symmetry but to its lowering. The full restoration of the time-reversal symmetry in the six cases mentioned is possible by introducing six types of metaparticles. The book also confirms the presence of six additional time-reversal operators using a group-theoretical method. The problem is only where to seek these metaparticles. The book discusses time-reversal symmetry in classical mechanics, classical and relativistic electrodynamics, quantum mechanics and theory of quantized fields, including dynamical reversibility and statistical irreversibility of the time, Wigner’s and Herring’s criteria, Kramers theorem, selection rules due to time-reversal symmetry, Onsager’s relations, Poincaré recurrence theorem, and CPT theorem. It particularly focuses attention on time-reversal symmetry violation. It is proposed a new method of testing the time-reversal symmetry, which is confirmed experimentally by EPR spectroscopy data. It shows that the traditional black-white point groups of magnetic symmetry are not applicable to magnetic systems with Kramers degeneration of energy levels and that magnetic groups of four-color symmetry are adequate for them. Further, it addresses the predicted structural distortions in Kramers three-homonuclear magnetic clusters due to time-reversal symmetry that have been identified experimentally. Lastly, it proposes a method of synthesis of two-nuclear coordination compounds with predictable magnetic properties, based on the application of the time-reversal transformation that was confirmed experimentally.

Origin of Symmetries

Author : C. D. Froggatt
Publisher : World Scientific
ISBN 13 : 9789971966300
Total Pages : 600 pages
Book Rating : 4.9/5 (663 download)

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Book Synopsis Origin of Symmetries by : C. D. Froggatt

Download or read book Origin of Symmetries written by C. D. Froggatt and published by World Scientific. This book was released on 1991 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development in our understanding of symmetry principles is reviewed. Many symmetries, such as charge conjugation, parity and strangeness, are no longer considered as fundamental but as natural consequences of a gauge field theory of strong and electromagnetic interactions. Other symmetries arise naturally from physical models in some limiting situation, such as for low energy or low mass. Random dynamics and attempts to explain all symmetries ? even Lorentz invariance and gauge invariance ? without appealing to any fundamental invariance of the laws of nature are discussed. A selection of original papers is reprinted.

Higher Spin Gauge Theories

Author : Lars Brink
Publisher : World Scientific
ISBN 13 : 9813144114
Total Pages : 403 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Higher Spin Gauge Theories by : Lars Brink

Download or read book Higher Spin Gauge Theories written by Lars Brink and published by World Scientific. This book was released on 2016-11-01 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetries play a fundamental role in physics. Non-Abelian gauge symmetries are the symmetries behind theories for massless spin-1 particles, while the reparametrization symmetry is behind Einstein's gravity theory for massless spin-2 particles. In supersymmetric theories these particles can be connected also to massless fermionic particles. Does Nature stop at spin-2 or can there also be massless higher spin theories. In the past strong indications have been given that such theories do not exist. However, in recent times ways to evade those constraints have been found and higher spin gauge theories have been constructed. With the advent of the AdS/CFT duality correspondence even stronger indications have been given that higher spin gauge theories play an important role in fundamental physics.All these issues were discussed at a recent international workshop in Singapore where the leading scientists in the field participated. This volume presents an up-to-date, detailed overview of the theories including its historic background, as well as the latest accomplishments in understanding the foundational properties of higher spin physics.

Physics from Symmetry

Author : Jakob Schwichtenberg
Publisher : Springer
ISBN 13 : 3319666312
Total Pages : 294 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Physics from Symmetry by : Jakob Schwichtenberg

Download or read book Physics from Symmetry written by Jakob Schwichtenberg and published by Springer. This book was released on 2017-12-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.

Spin Dynamics

Author : Malcolm H. Levitt
Publisher : Wiley
ISBN 13 : 0470517123
Total Pages : 744 pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis Spin Dynamics by : Malcolm H. Levitt

Download or read book Spin Dynamics written by Malcolm H. Levitt and published by Wiley. This book was released on 2008-07-31 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spin Dynamics: Basics of Nuclear Magnetic Resonance, Second Edition is a comprehensive and modern introduction which focuses on those essential principles and concepts needed for a thorough understanding of the subject, rather than the practical aspects. The quantum theory of nuclear magnets is presented within a strong physical framework, supported by figures. The book assumes only a basic knowledge of complex numbers and matrices, and provides the reader with numerous worked examples and exercises to encourage understanding. With the explicit aim of carefully developing the subject from the beginning, the text starts with coverage of quarks and nucleons and progresses through to a detailed explanation of several important NMR experiments, including NMR imaging, COSY, NOESY and TROSY. Completely revised and updated, the Second Edition features new material on the properties and distributions of isotopes, chemical shift anisotropy and quadrupolar interactions, Pake patterns, spin echoes, slice selection in NMR imaging, and a complete new chapter on the NMR spectroscopy of quadrupolar nuclei. New appendices have been included on Euler angles, and coherence selection by field gradients. As in the first edition, all material is heavily supported by graphics, much of which is new to this edition. Written for undergraduates and postgraduate students taking a first course in NMR spectroscopy and for those needing an up-to-date account of the subject, this multi-disciplinary book will appeal to chemical, physical, material, life, medical, earth and environmental scientists. The detailed physical insights will also make the book of interest for experienced spectroscopists and NMR researchers. • An accessible and carefully written introduction, designed to help students to fully understand this complex and dynamic subject • Takes a multi-disciplinary approach, focusing on basic principles and concepts rather than the more practical aspects • Presents a strong pedagogical approach throughout, with emphasis placed on individual spins to aid understanding • Includes numerous worked examples, problems, further reading and additional notes Praise from the reviews of the First Edition: "This is an excellent book... that many teachers of NMR spectroscopy will cherish... It deserves to be a ‘classic’ among NMR spectroscopy texts." NMR IN BIOMEDICINE "I strongly recommend this book to everyone…it is probably the best modern comprehensive description of the subject." ANGEWANDTE CHEMIE, INTERNATIONAL EDITION

Magnetism in Condensed Matter

Author : Stephen Blundell
Publisher : OUP Oxford
ISBN 13 : 0191586641
Total Pages : 272 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Magnetism in Condensed Matter by : Stephen Blundell

Download or read book Magnetism in Condensed Matter written by Stephen Blundell and published by OUP Oxford. This book was released on 2001-10-05 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of the quantum mechanical nature of magnetism has led to the development of new magnetic materials which are used as permanent magnets, sensors, and information storage. Behind these practical applications lie a range of fundamental ideas, including symmetry breaking, order parameters, excitations, frustration, and reduced dimensionality. This superb new textbook presents a logical account of these ideas, staring from basic concepts in electromagnetsim and quantum mechanics. It outlines the origin of magnetic moments in atoms and how these moments can be affected by their local environment inside a crystal. The different types of interactions which can be present between magnetic moments are described. The final chapters of the book are devoted to the magnetic properties of metals, and to the complex behaviour which can occur when competing magnetic interactions are present and/or the system has a reduced dimensionality. Throughout the text, the theorectical principles are applied to real systems. There is substantial discussion of experimental techniques and current reserach topics. The book is copiously illustrated and contains detailed appendices which cover the fundamental principles.

Spin Eigenfunctions

Author : Ruben Pauncz
Publisher : Springer Science & Business Media
ISBN 13 : 1468485261
Total Pages : 374 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Spin Eigenfunctions by : Ruben Pauncz

Download or read book Spin Eigenfunctions written by Ruben Pauncz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to give a comprehensive treatment of the different methods for the construction of spin eigenfunctions and to show their interrelations. The ultimate goal is the construction of an antisymmetric many-electron wave function that has both spatial and spin parts and the calculation of the matrix elements of the Hamiltonian over the total wave function. The representations of the symmetric group playa central role both in the construction of spin functions and in the calculation of the matrix elements of the Hamiltonian, so this subject will be treated in detail. We shall restrict the treatment to spin-independent Hamiltonians; in this case the spin does not have a direct role in the energy expression, but the choice of spin functions influences the form of spatial functions through the antisymmetry principle; the spatial functions determine the energy of the system. We shall also present the "spin-free quantum chemistry" approach of Matsen and co-workers, in which one starts immediately with the construction of spatial functions that have the correct permutational symmetries. By presenting both the conventional and the spin-free approach, one gains a better understanding of certain aspects of the elec tronic correlation problem. The latest advance in the calculation of the matrix elements of the Hamiltonian is the use of the representations of the unitary group, so this will be the last subject. It is a pleasant task to thank all those who helped in writing this book.

Symmetry, Spin Dynamics And The Properties Of Nanostructures - Lecture Notes Of The 11th International School On Theoretical Physics

Author : Vitalii K Dugaev
Publisher : World Scientific
ISBN 13 : 9814740381
Total Pages : 326 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Symmetry, Spin Dynamics And The Properties Of Nanostructures - Lecture Notes Of The 11th International School On Theoretical Physics by : Vitalii K Dugaev

Download or read book Symmetry, Spin Dynamics And The Properties Of Nanostructures - Lecture Notes Of The 11th International School On Theoretical Physics written by Vitalii K Dugaev and published by World Scientific. This book was released on 2015-11-09 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of lecture notes which were presented by invited speakers at the Eleventh School on Theoretical Physics 'Symmetry and Structural Properties of Condensed Matter SSPCM 2014' in Rzeszów (Poland) in September 2014. The main challenge for the lecturers was the objective to present their subject as a review as well as in the form of introduction for beginners. Topics considered in the volume concentrate on: spin dynamics and spin transport in magnetic and non-magnetic structures, spin-orbit interaction in two-dimensional systems and graphene, and new mathematical method used in the condensed matter physics.

Symmetries in Quantum Mechanics

Author : M Chaichian
Publisher : CRC Press
ISBN 13 : 1000944166
Total Pages : 320 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Symmetries in Quantum Mechanics by : M Chaichian

Download or read book Symmetries in Quantum Mechanics written by M Chaichian and published by CRC Press. This book was released on 2023-07-21 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetries in Quantum Mechanics: From Angular Momentum to Supersymmetry (PBK) provides a thorough, didactic exposition of the role of symmetry, particularly rotational symmetry, in quantum mechanics. The bulk of the book covers the description of rotations (geometrically and group-theoretically) and their representations, and the quantum theory of angular momentum. Later chapters introduce more advanced topics such as relativistic theory, supersymmetry, anyons, fractional spin, and statistics. With clear, in-depth explanations, the book is ideal for use as a course text for postgraduate and advanced undergraduate students in physics and those specializing in theoretical physics. It is also useful for researchers looking for an accessible introduction to this important area of quantum theory.

Symmetries in Fundamental Physics

Author : Kurt Sundermeyer
Publisher : Springer
ISBN 13 : 3319065815
Total Pages : 806 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Symmetries in Fundamental Physics by : Kurt Sundermeyer

Download or read book Symmetries in Fundamental Physics written by Kurt Sundermeyer and published by Springer. This book was released on 2014-07-23 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. These symmetries become manifest in that the "laws of nature" are invariant under spacetime transformations and/or gauge transformations. The consequences of these symmetries were analyzed as early as in 1918 by Emmy Noether on the level of action functionals. Her work did not receive due recognition for nearly half a century, but can today be understood as a recurring theme in classical mechanics, electrodynamics and special relativity, Yang-Mills type quantum field theories, and in general relativity. As a matter of fact, as shown in this monograph, many aspects of physics can be derived solely from symmetry considerations. This substantiates the statement of E.P. Wigner "... if we knew all the laws of nature, or the ultimate Law of nature, the invariance properties of these laws would not furnish us new information." Thanks to Wigner we now also understand the implications of quantum physics and symmetry considerations: Poincare invariance dictates both the characteristic properties of particles (mass, spin, ...) and the wave equations of spin 0, 1/2, 1, ... objects. Further, the work of C.N. Yang and R. Mills reveals the consequences of internal symmetries as exemplified in the symmetry group of elementary particle physics. Given this pivotal role of symmetries it is thus not surprising that current research in fundamental physics is to a great degree motivated and inspired by considerations of symmetry. The treatment of symmetries in this monograph ranges from classical physics to now well-established theories of fundamental interactions, to the latest research on unified theories and quantum gravity.

Symmetries in Quantum Physics

Author : U. Fano
Publisher : Elsevier
ISBN 13 : 0080542174
Total Pages : 349 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Symmetries in Quantum Physics by : U. Fano

Download or read book Symmetries in Quantum Physics written by U. Fano and published by Elsevier. This book was released on 1996-06-17 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on the physics of symmetries, developing symmetries and transformations through concrete physical examples and contexts rather than presenting the information axiomatically, mathematically, and abstractly. Readers are introduced gradually to advanced mathematical procedures, including the Wigner and Racah algebras and their applications to various symmetry groups. The book also includes some of the latest research on the use of non-invariance and non-compact groups in the consideration of relativistic and many-particle problems of atoms and nuclei.This book is an updated replacement for the text Irreducible Tensorial Sets (Academic Press, 1959). Parts A and B of the present book grew out of occasional lectures in the intervening decades at the University of Chicago, where it became neccessary to update or elaborate upon certain points. Part C has been built more recently to deal with innovations and new information in the field of mathematical physics. The book as a whole develops the subject of symmetry from a physical point of view, allowing students and researchers to gain new insight on their subject. This book can be used both as a text and as a reference by students and scientists in the field.Adapts and extends the earlier Irreducible Tensor Sets (Academic Press, 1959) to classroom useExtends to multi-particle systems and relativityIncludes problems in each chapter for homework assignmentsEmbraces the latest research on non-invariance groups

Origin of Symmetries

Author : C. D. Froggatt
Publisher : World Scientific
ISBN 13 : 9789971966317
Total Pages : 606 pages
Book Rating : 4.9/5 (663 download)

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Book Synopsis Origin of Symmetries by : C. D. Froggatt

Download or read book Origin of Symmetries written by C. D. Froggatt and published by World Scientific. This book was released on 1991 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development in our understanding of symmetry principles is reviewed. Many symmetries, such as charge conjugation, parity and strangeness, are no longer considered as fundamental but as natural consequences of a gauge field theory of strong and electromagnetic interactions. Other symmetries arise naturally from physical models in some limiting situation, such as for low energy or low mass. Random dynamics and attempts to explain all symmetries ? even Lorentz invariance and gauge invariance ? without appealing to any fundamental invariance of the laws of nature are discussed. A selection of original papers is reprinted.

Nuclear Science Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 1064 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Nuclear Science Abstracts by :

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1974 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Molecular Symmetry, Super-Rotation, and Semiclassical Motion

Author : Hanno Schmiedt
Publisher : Springer
ISBN 13 : 3319660713
Total Pages : 172 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Molecular Symmetry, Super-Rotation, and Semiclassical Motion by : Hanno Schmiedt

Download or read book Molecular Symmetry, Super-Rotation, and Semiclassical Motion written by Hanno Schmiedt and published by Springer. This book was released on 2017-08-31 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a range of fundamentally new approaches to solving problems involving traditional molecular models. Fundamental molecular symmetry is shown to open new avenues for describing molecular dynamics beyond standard perturbation techniques. Traditional concepts used to describe molecular dynamics are based on a few fundamental assumptions, the ball-and-stick picture of molecular structure and the respective perturbative treatment of different kinds of couplings between otherwise separate motions. The book points out the conceptual limits of these models and, by focusing on the most essential idea of theoretical physics, namely symmetry, shows how to overcome those limits by introducing fundamentally new concepts. The book begins with an introduction to molecular symmetry in general, followed by a discussion of nuclear spin symmetry. Here, a new correlation between identical particle exchange and spin angular momentum symmetry of nuclei is exhibited. The central part of the book is the discussion of extremely floppy molecules, which are not describable in the framework of traditional theories. The book introduces a fundamentally new approach to describing the molecular dynamics of these molecules - the super-rotor model, which is based on a five-dimensional symmetry that has never been observed in molecules before. By applying the super-rotor theory to the prototype of floppy molecules, protonated methane, this model can consistently predict the symmetry and energy of low-energy states, which were characterized experimentally only a few years ago. The theoretical predictions agree with the experimental results, which makes the prospect of further developing the super-rotor theory and applying it to other molecules a promising one. In the final section, the book also covers the topic of ultrafast rotations, where usual quantum calculations reach their natural limits. A semi-classical method for determining rotational energies, developed in the early 1990s, is shown to be attachable to quantum calculations of the vibrational states. This new combined method is suitable for efficiently calculating ro-vibrational energies, even for molecular states with large angular momentum.

Particle Physics

Author : Necia Grant Cooper
Publisher : CUP Archive
ISBN 13 : 9780521347808
Total Pages : 220 pages
Book Rating : 4.3/5 (478 download)

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Book Synopsis Particle Physics by : Necia Grant Cooper

Download or read book Particle Physics written by Necia Grant Cooper and published by CUP Archive. This book was released on 1988-04-29 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains the emergence of a profoundly new understanding of the fundamental forces of Nature.

Modern Topics in Electron Scattering

Author : Bernard Frois
Publisher : World Scientific
ISBN 13 : 9789971509750
Total Pages : 832 pages
Book Rating : 4.5/5 (97 download)

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Book Synopsis Modern Topics in Electron Scattering by : Bernard Frois

Download or read book Modern Topics in Electron Scattering written by Bernard Frois and published by World Scientific. This book was released on 1991 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes the considerable progress recently achieved in the understanding of nucleon and nuclear structure by using high energy electrons as a probe. A collection of papers discusses in detail the new frontiers of this field. Experimental and theoretical articles cover topics such as the structure of the nucleon, nucleon distributions, many-body correlations, non-nucleonic degrees of freedom and few-body systems. This book is an up-to-date introduction to the research planned with continuous beam electron accelerators.

Symmetry, Broken Symmetry, and Topology in Modern Physics

Author : Mike Guidry
Publisher : Cambridge University Press
ISBN 13 : 1009008420
Total Pages : 666 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Symmetry, Broken Symmetry, and Topology in Modern Physics by : Mike Guidry

Download or read book Symmetry, Broken Symmetry, and Topology in Modern Physics written by Mike Guidry and published by Cambridge University Press. This book was released on 2022-03-31 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for use in teaching and for self-study, this book provides a comprehensive and pedagogical introduction to groups, algebras, geometry, and topology. It assimilates modern applications of these concepts, assuming only an advanced undergraduate preparation in physics. It provides a balanced view of group theory, Lie algebras, and topological concepts, while emphasizing a broad range of modern applications such as Lorentz and Poincaré invariance, coherent states, quantum phase transitions, the quantum Hall effect, topological matter, and Chern numbers, among many others. An example based approach is adopted from the outset, and the book includes worked examples and informational boxes to illustrate and expand on key concepts. 344 homework problems are included, with full solutions available to instructors, and a subset of 172 of these problems have full solutions available to students.