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Author : Michel Gourdin
Publisher :
ISBN 13 :
Total Pages : 303 pages
Book Rating : 4.:/5 (848 download)
Download or read book Unitary Symmetries and Their Application to High Energy Physics written by Michel Gourdin and published by . This book was released on 1967 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Gourdin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (878 download)
Download or read book Unitary symmetries and their application to high energy physics written by M. Gourdin and published by . This book was released on 1967 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Gourdin
Publisher :
ISBN 13 :
Total Pages : 303 pages
Book Rating : 4.:/5 (872 download)
Download or read book Unitary symmetries and their application to high energy physics written by M. Gourdin and published by . This book was released on 1967 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michel Gourdin
Publisher :
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.:/5 (37 download)
Download or read book Unitary Symmetries and Their Application to High Energy Physics written by Michel Gourdin and published by . This book was released on 1967 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. M. Gibson
Publisher : Cambridge University Press
ISBN 13 : 9780521207874
Total Pages : 404 pages
Book Rating : 4.2/5 (78 download)
Download or read book Symmetry Principles Particle Physics written by W. M. Gibson and published by Cambridge University Press. This book was released on 1976-03-11 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of the properties and interactions of the elementary particles is an essential prerequisite of research work in high energy physics. Much progress in the subject has been achieved with the aid of symmetry principles. In this 1980 book the concept of symmetry or invariance is employed as a unifying theme. Using a careful explanation of the mathematical formalism and with many applications to particular cases, the authors introduce the reader to the symmetry schemes which dominate the world of the particle physicist. The presentation will also appeal to mathematicians and physicists in other fields who are interested in the applications of the general principles of symmetry. After a brief survey of the particles and a review of the relevant quantum mechanics, the principal symmetries are studied in turn. Some technical points are relegated to appendices and the book contains extensive references.
Author : Giovanni Costa
Publisher : Springer
ISBN 13 : 3642154824
Total Pages : 300 pages
Book Rating : 4.6/5 (421 download)
Download or read book Symmetries and Group Theory in Particle Physics written by Giovanni Costa and published by Springer. This book was released on 2012-02-03 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures.
Author : D. B. Lichtenberg
Publisher : Academic Press
ISBN 13 : 1483266265
Total Pages : 263 pages
Book Rating : 4.4/5 (832 download)
Download or read book Unitary Symmetry and Elementary Particles written by D. B. Lichtenberg and published by Academic Press. This book was released on 2013-10-22 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unitary Symmetry and Elementary Particles discusses the role of symmetry in elementary particle physics. The book reviews the theory of abstract groups and group representations including Eigenstates, cosets, conjugate classes, unitary vector spaces, unitary representations, multiplets, and conservation laws. The text also explains the concept of Young Diagrams or Young Tableaux to prove the basis functions of the unitary irreducible representations of the unitary group SU(n). The book defines Lie groups, Lie algebras, and gives some examples of these groups. The basis vectors of irreducible unitary representations of Lie groups constitute a multiplet, which according to Racah (1965) and Behrends et al. (1962) can have properties of weights. The text also explains the properties of Clebsch-Gordan coefficients and the Wigner-Eckart theorem. SU(3) multiplets have members classified as hadrons (strongly interacting particles), of which one characteristic show that the mass differences of these members have some regular properties. The Gell-Mann and Ne-eman postulate also explains another characteristic peculiar to known multiplets. The book describes the quark model, as well as, the uses of the variants of the quark model. This collection is suitable for researchers and scientists in the field of applied mathematics, nuclear physics, and quantum mechanics.
Author : Heinrich Saller
Publisher : Springer
ISBN 13 : 3319586645
Total Pages : 578 pages
Book Rating : 4.3/5 (195 download)
Download or read book Operational Symmetries written by Heinrich Saller and published by Springer. This book was released on 2017-06-19 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the endeavour to relate the particle spectrum with representations of operational electroweak spacetime, in analogy to the atomic spectrum as characterizing representations of hyperbolic space. The spectrum of hyperbolic position space explains the properties of the nonrelativistic atoms; the spectrum of electroweak spacetime is hoped to explain those of the basic interactions and elementary particles. In this book, the theory of operational symmetries is developed from the numbers, from Plato’s and Kepler’s symmetries over the simple Lie groups to their applications in nonrelativistic, special relativistic and general relativistic quantum theories with the atomic spectrum for hyperbolic position and, in first attempts, the particle spectrum for electroweak spacetime. The standard model of elementary particles and interactions is characterized by a symmetry group. In general, as initiated by Weyl and stressed by Heisenberg, quantum theory can be built as a theory of operation groups and their unitary representations. In such a framework, time, position and spacetime is modeled by equivalence classes of symmetry groups. For a unification on this road, the quest is not for a final theory with a basic equation for basic particles, but for the basic operation group and its representations.
Author : Giovanni Costa
Publisher : Springer Science & Business Media
ISBN 13 : 3642154816
Total Pages : 300 pages
Book Rating : 4.6/5 (421 download)
Download or read book Symmetries and Group Theory in Particle Physics written by Giovanni Costa and published by Springer Science & Business Media. This book was released on 2012-02-05 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures.
Author : Itzhak Bars
Publisher : Springer Science & Business Media
ISBN 13 : 1489953132
Total Pages : 306 pages
Book Rating : 4.4/5 (899 download)
Download or read book Symmetries in Particle Physics written by Itzhak Bars and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Donald H. Perkins
Publisher : Cambridge University Press
ISBN 13 : 1139643371
Total Pages : 454 pages
Book Rating : 4.1/5 (396 download)
Download or read book Introduction to High Energy Physics written by Donald H. Perkins and published by Cambridge University Press. This book was released on 2000-04-13 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly-regarded text provides a comprehensive introduction to modern particle physics. Extensively rewritten and updated, this 4th edition includes developments in elementary particle physics, as well as its connections with cosmology and astrophysics. As in previous editions, the balance between experiment and theory is continually emphasised. The stress is on the phenomenological approach and basic theoretical concepts rather than rigorous mathematical detail. Short descriptions are given of some of the key experiments in the field, and how they have influenced our thinking. Although most of the material is presented in the context of the Standard Model of quarks and leptons, the shortcomings of this model and new physics beyond its compass (such as supersymmetry, neutrino mass and oscillations, GUTs and superstrings) are also discussed. The text includes many problems and a detailed and annotated further reading list.
Author : Paul F. Kisak
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781532971402
Total Pages : 154 pages
Book Rating : 4.9/5 (714 download)
Download or read book Particle Physics & Representation Theory written by Paul F. Kisak and published by Createspace Independent Publishing Platform. This book was released on 2016-04-17 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a natural connection between particle physics and representation theory, as first noted in the 1930s by Eugene Wigner. It links the properties of elementary particles to the structure of Lie groups and Lie algebras. According to this connection, the different quantum states of an elementary particle give rise to an irreducible representation of the Poincare group. Moreover, the properties of the various particles, including their spectra, can be related to representations of Lie algebras, corresponding to "approximate symmetries" of the universe. In quantum mechanics, any particular particle (with a given momentum distribution, location distribution, spin state, etc.) is written as a vector (or "ket") in a Hilbert space H. To help understand what types of particles can exist, it is important to classify the possibilities for H, and their properties. The particle is more precisely characterized by the associated projective Hilbert space PH, since two vectors that differ by a scalar factor (or in physics terminology, two "kets" that differ by a "phase factor") correspond to the same physical quantum state. Let G be the symmetry group of the universe - that is, the set of symmetries under which the laws of physics are invariant. (For example, one element of G is the simultaneous translation of all particles and fields forward in time by five seconds.) Starting with a particular particle in the state ket, and a symmetry transformation g in G, it is possible to apply the symmetry transformation to the particle to get a new state ket. For this picture to be consistent, it is necessary that PH holds a projective group representation of G. (For example, this condition guarantees that applying a symmetry transformation, then applying its inverse transformation, will restore the original quantum state.) Therefore, any given particle is associated with a unique (possibly trivial) representation of G on a projective vector space PH. (We say the particle "lies in," or "transforms as" the representation.) In many important cases, it can be shown that the particle is also (more specifically) associated with a group representation of G on the underlying (non-projective) space H.[2] Wigner's Theorem proves that it is a unitary representation, or possibly anti-unitary. So we conclude that each type of particle corresponds to a representation of G, and if we can classify the group representations of G, we will have much more information about the possibilities and properties of H, and hence what types of particles can exist. This book gives a fairly concise overview of the various mathematical group theories and their use in representing particle characteristics."
Author : Wolfgang Ludwig
Publisher : Springer Science & Business Media
ISBN 13 : 364297029X
Total Pages : 471 pages
Book Rating : 4.6/5 (429 download)
Download or read book Symmetries in Physics written by Wolfgang Ludwig and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everyone knows that symmetry is fundamentally important in physics. On one hand, the symmetry of a system is often the starting point for general physical considerations, and on the other hand, particular problems may be solved in simpler and more elegant ways if symmetry is taken into account. This book presents the underlying theories of symmetry and gives examples of their application in branches of physics ranging from solid-state to high-energy physics via atomic and molecular physics. The text is as self-contained as possible, with as much mathematical formalism given as required. The main emphasis is on the theory of group representations and on the method of projection operators, this is a very powerful tool which is often treated only very briefly. Discrete symmetries, continuous symmetries and symmetry breaking are also discussed, and exercises are provided to stimulate the reader to carry out original work.
Author : Tatsuo Kobayashi
Publisher : Springer Nature
ISBN 13 : 366264679X
Total Pages : 353 pages
Book Rating : 4.6/5 (626 download)
Download or read book An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists written by Tatsuo Kobayashi and published by Springer Nature. This book was released on 2022-02-23 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lecture note provides a tutorial review of non-Abelian discrete groups and presents applications to particle physics where discrete symmetries constitute an important principle for model building. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics—particularly model building beyond the standard model—non-Abelian discrete symmetries have been applied particularly to understand the three-generation flavor structure. The non-Abelian discrete symmetries are indeed considered to be the most attractive choice for a flavor sector: Model builders have tried to derive experimental values of quark and lepton masses, mixing angles and CP phases on the assumption of non-Abelian discrete flavor symmetries of quarks and leptons, yet lepton mixing has already been intensively discussed in this context as well. Possible origins of the non-Abelian discrete symmetry for flavors are another topic of interest, as they can arise from an underlying theory, e.g., the string theory or compactification via orbifolding as geometrical symmetries such as modular symmetries, thereby providing a possible bridge between the underlying theory and corresponding low-energy sector of particle physics. The book offers explicit introduction to the group theoretical aspects of many concrete groups, and readers learn how to derive conjugacy classes, characters, representations, tensor products, and automorphisms for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest. Further, CP symmetry and modular symmetry are also presented.
Author : Bojan Bistrovic
Publisher : Marsonia Press LLC
ISBN 13 : 1734919914
Total Pages : 551 pages
Book Rating : 4.7/5 (349 download)
Download or read book Quantum Mechanics with Non-Unitary Symmetries written by Bojan Bistrovic and published by Marsonia Press LLC. This book was released on 2020-04-22 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows that with minimal modifications of postulates of non-relativistic quantum mechanics to allow for non-unitary representations of symmetry groups (Lorentz group in particular), one achieves a fully relativistic quantum theory without any of the issues (like negative energies, etc.) that led to the second quantization and QFT. It is shown that quite a few phenomena in elementary particle physics (like for example neutral kaon mixing, CP symmetry and it's supposed breaking) can be explained purely as a consequence of relativistic invariance and relativistic invariance alone. It is shown that by categorizing mesons via the representation of Lorentz group they belong to, one can explain a lot of their properties, as well as a lot of discrepancies in the particle data tables. It is also shown that based on properties of Lorentz representations of products of meson decays, a lot of excited states listed in PDG tables are really several different excitations with similar masses. Relativistic treatment of bound states in momentum space is developed and used to calculate decay widths of various composite particles like Positronium or mesons, and then those decay widths are used to calculate various properties of quarks (like their masses or charges) that were previously misunderstood. In particular, it is shown that quarks are actually quite heavy (around 3.5GeV for up/down quarks) and that while Lorentz invariance allows both fractional values (2/3, -1/3) as well as integer values (2,1), based on (very sparse) available experimental data, integer quark charges are more consistent with observed decay widths than fractional charges.
Author : Stephen Haywood
Publisher : World Scientific
ISBN 13 : 1848166591
Total Pages : 167 pages
Book Rating : 4.8/5 (481 download)
Download or read book Symmetries and Conservation Laws in Particle Physics written by Stephen Haywood and published by World Scientific. This book was released on 2011 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will explain how group theory underpins some of the key features of particle physics. It will examine symmetries and conservation laws in quantum mechanics and relate these to groups of transformations. Group theory provides the language for describing how particles (and in particular, their quantum numbers) combine. This provides understanding of hadronic physics as well as physics beyond the Standard Model. The symmetries of the Standard Model associated with the Electroweak and Strong (QCD) forces are described by the groups U(1), SU(2) and SU(3). The properties of these groups are examined and the relevance to particle physics is discussed.Stephen Haywood, author of Symmetries And Conservation Laws In Particle Physics, explains how his book can help experimental physicists and PhD students understand group theory and particle physics in our new video View the interview at http: //www.youtube.com/watch'v=jbQk78TBLS
Author : M Leon
Publisher : Elsevier
ISBN 13 : 0323157947
Total Pages : 281 pages
Book Rating : 4.3/5 (231 download)
Download or read book Particle Physics: An Introduction written by M Leon and published by Elsevier. This book was released on 2012-12-02 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Particle Physics: An Introduction provides information pertinent to particle physics, including symmetries, quantum mechanics, particle kinematics, and wave equations. This book explains the Lorentz transformation, which relates events as seen in two inertial coordinate systems. Comprised of 12 chapters, this book starts with an overview of the general relationship between energy and momentum. This text then explains the various components of the electric and magnetic fields, which are related by Maxwell's equations. Other chapters review the abstract formalism of quantum mechanics as well as explain the functions of cross sections and decay rates in particle physics. This book discusses as well the function of quantum field theory in predicting S-matrix elements and cross sections that can be compared with experiments. The final chapter deals with strong interaction dynamics as well as introduces Regge poles and dispersion relations. Seniors and graduate students involved in the study of physics will find this book extremely useful.
