Unitary Symmetry and Elementary Particles

Unitary Symmetry and Elementary Particles PDF Author: D Lichtenberg
Publisher: Elsevier
ISBN: 032316191X
Category : Science
Languages : en
Pages : 294

Get Book Here

Book Description
Unitary Symmetry and Elementary Particles, Second Edition presents the role of symmetry in the study of the physics of the elementary particles. This book discusses the nature and scope of unitary symmetry in physics. Comprised of 12 chapters, this edition starts with an overview of the theories of electromagnetism and gravitation to describe the behavior of certain physical systems. This text then examines the two main categories of the mathematical properties of groups, namely, the properties of abstract groups and the properties of representations of groups. Other chapters consider the use of group theory, which is a significant tool in studying symmetry. This book discusses as well the states that are the basis vectors of irreducible unitary representations of Lie group. The final chapter deals with the quark model, which provides a useful way to understand many properties of hadrons in terms of simpler entities. This book is a valuable resource for physicists.

Unitary Symmetry and Elementary Particles

Unitary Symmetry and Elementary Particles PDF Author: D Lichtenberg
Publisher: Elsevier
ISBN: 032316191X
Category : Science
Languages : en
Pages : 294

Get Book Here

Book Description
Unitary Symmetry and Elementary Particles, Second Edition presents the role of symmetry in the study of the physics of the elementary particles. This book discusses the nature and scope of unitary symmetry in physics. Comprised of 12 chapters, this edition starts with an overview of the theories of electromagnetism and gravitation to describe the behavior of certain physical systems. This text then examines the two main categories of the mathematical properties of groups, namely, the properties of abstract groups and the properties of representations of groups. Other chapters consider the use of group theory, which is a significant tool in studying symmetry. This book discusses as well the states that are the basis vectors of irreducible unitary representations of Lie group. The final chapter deals with the quark model, which provides a useful way to understand many properties of hadrons in terms of simpler entities. This book is a valuable resource for physicists.

Unitary Symmetry and Elementary Particles

Unitary Symmetry and Elementary Particles PDF Author: D. B. Lichtenberg
Publisher: Academic Press
ISBN: 1483266265
Category : Science
Languages : en
Pages : 263

Get Book Here

Book Description
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.

Introduction to Physics of Elementary Particles

Introduction to Physics of Elementary Particles PDF Author: Oleg Mikhilovich Boyarkin
Publisher: Nova Publishers
ISBN: 9781600212000
Category : Science
Languages : en
Pages : 260

Get Book Here

Book Description
In this textbook, all known fundamental interactions are considered and the main directions of their unification are reviewed. The basic theoretical ideas and experiments, which permit establishing a quark-lepton level of matter structure are discussed. A general scheme for the theory of interacting fields with the help of the local gauge invariance principle is given. This scheme is used for presentation of the basic aspects of the quantum chromodynamics and electroweak theory of Weinberg-Salam-Glashow. Principles of operation and designs of accelerators, neutrino telescopes, and elementary particle detectors are considered. The modern theory of the Universe evolution is described.

Symmetries and Group Theory in Particle Physics

Symmetries and Group Theory in Particle Physics PDF Author: Giovanni Costa
Publisher: Springer
ISBN: 3642154824
Category : Science
Languages : en
Pages : 300

Get Book Here

Book Description
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.

Invariance Principles and Elementary Particles

Invariance Principles and Elementary Particles PDF Author: Jun John Sakurai
Publisher: Princeton University Press
ISBN: 1400877873
Category : Science
Languages : en
Pages : 337

Get Book Here

Book Description
J. J. Sakurai's treatment of various elementary particle phenomena, is written for those not completely familiar with field theory who wish to gain insight into theoretical problems. Since the manuscript for his book was completed, a very important development has taken place in particle physics-the discovery of the p, w, and n mesons: in view of this development, the author has added a new section devoted exclusively to these new mesons and resonances. Originally published in 1964. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Lie Algebras In Particle Physics

Lie Algebras In Particle Physics PDF Author: Howard Georgi
Publisher: Westview Press
ISBN: 0738202339
Category : Science
Languages : en
Pages : 340

Get Book Here

Book Description
An exciting new edition of a classic text

Geometry of the Standard Model of Elementary Particles

Geometry of the Standard Model of Elementary Particles PDF Author: Andrzej Derdzinski
Publisher: Springer Science & Business Media
ISBN: 3642503101
Category : Science
Languages : en
Pages : 205

Get Book Here

Book Description
The book gives an exposition of the standard model of elementary particles based on coordinate-free differential geometric foundations. It addresses students in physics and mathematics.

Symmetry Principles Particle Physics

Symmetry Principles Particle Physics PDF Author: W. M. Gibson
Publisher: Cambridge University Press
ISBN: 9780521207874
Category : Science
Languages : en
Pages : 404

Get Book Here

Book Description
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.

Shattered Symmetry

Shattered Symmetry PDF Author: Pieter Thyssen
Publisher: Oxford University Press
ISBN: 019062017X
Category : Science
Languages : en
Pages : 529

Get Book Here

Book Description
Symmetry is at the heart of our understanding of matter. This book tells the fascinating story of the constituents of matter from a common symmetry perspective. The standard model of elementary particles and the periodic table of chemical elements have the common goal to bring order in the bewildering chaos of the constituents of matter. Their success relies on the presence of fundamental symmetries in their core. The purpose of Shattered Symmetry is to share the admiration for the power and the beauty of these symmetries. The reader is taken on a journey from the basic geometric symmetry group of a circle to the sublime dynamic symmetries that govern the motions of the particles. Along the way the theory of symmetry groups is gradually introduced with special emphasis on its use as a classification tool and its graphical representations. This is applied to the unitary symmetry of the eightfold way of quarks, and to the four-dimensional symmetry of the hydrogen atom. The final challenge is to open up the structure of Mendeleev's table which goes beyond the symmetry of the hydrogen atom. Breaking this symmetry to accommodate the multi-electron atoms requires us to leave the common ground of linear algebras and explore the potential of non-linearity.

Murray Gell-mann - Selected Papers

Murray Gell-mann - Selected Papers PDF Author: Harald Fritzsch
Publisher: World Scientific
ISBN: 9814469300
Category : Science
Languages : en
Pages : 466

Get Book Here

Book Description
Murray Gell-Mann is one of the leading physicists of the world. He was awarded the Nobel Prize in Physics in 1969 for his work on the classification and symmetries of elementary particles, including the approximate SU(3) symmetry of hadrons. His list of publications is impressive; a number of his papers have become landmarks in physics. In 1953, Gell-Mann introduced the strangeness quantum number, conserved by the strong and electromagnetic interactions but not by the weak interaction. In 1954 he and F E Low proposed what was later called the renormalization group. In 1958 he and R P Feynman wrote an important article on the V-A theory of the weak interaction. In 1961 and 1962 he described his ideas about the SU(3) symmetry of hadrons and its violation, leading to the prediction of the Ω- particle. In 1964 he proposed the quark picture of hadrons. In 1971 he and H Fritzsch proposed the exactly conserved “color” quantum number and in 1972 they discussed what they later called quantum chromodynamics (QCD), the gauge theory of color. These major publications and many others are collected in this volume, providing physicists with easy access to much of Gell-Mann's work. Some of the articles are concerned with his recollections of the history of elementary particle physics in the third quarter of the twentieth century.