Author : V. K. Dobrev
Publisher : Unknown
Page : 453 pages
File Size : 43,7 Mb
Release : 2006
Category : Science
ISBN : 9545801956
Quantum Theory and Symmetries IV
V. K. Dobrev
Quantum Theory And Symmetries Iv
Quantum Theory And Symmetries Iv Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Quantum Theory And Symmetries Iv book. This book definitely worth reading, it is an incredibly well-written.
Quantum theory and symmetries IV
V. K. Dobrev
Author : V. K. Dobrev
Publisher : Unknown
Page : 484 pages
File Size : 49,7 Mb
Release : 2006
Category : Science
ISBN : 9545801948
Quantum theory and symmetries IV by V. K. Dobrev Pdf
Symmetries in Quantum Mechanics
M Chaichian,R Hagedorn
Author : M Chaichian,R Hagedorn
Publisher : CRC Press
Page : 349 pages
File Size : 53,7 Mb
Release : 2023-07-21
Category : Science
ISBN : 9781000950946
Symmetries in Quantum Mechanics by M Chaichian,R Hagedorn Pdf
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.
Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1
Vladimir Dobrev
Author : Vladimir Dobrev
Publisher : Springer
Page : 427 pages
File Size : 47,9 Mb
Release : 2018-11-28
Category : Mathematics
ISBN : 9789811327155
Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1 by Vladimir Dobrev Pdf
This book is the first volume of proceedings from the joint conference X International Symposium “Quantum Theory and Symmetries” (QTS-X) and XII International Workshop “Lie Theory and Its Applications in Physics” (LT-XII), held on 19–25 June 2017 in Varna, Bulgaria. The QTS series was founded on the core principle that symmetries underlie all descriptions of quantum systems. It has since evolved into a symposium at the forefront of theoretical and mathematical physics. The LT series covers the whole field of Lie theory in its widest sense, together with its applications in many areas of physics. As an interface between mathematics and physics, the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists. In dividing the material between the two volumes, the Editor has sought to select papers that are more oriented toward mathematics for the first volume, and those focusing more on physics for the second. However, this division is relative, since many papers are equally suitable for either volume. The topics addressed in this volume represent the latest trends in the fields covered by the joint conferences: representation theory, integrability, entanglement, quantum groups, number theory, conformal geometry, quantum affine superalgebras, noncommutative geometry. Further, they present various mathematical results: on minuscule modules, symmetry breaking operators, Kashiwara crystals, meta-conformal invariance, the superintegrable Zernike system.
Quantum Theory and Symmetries
Edward Kapuscik,Andrzej Horzela
Author : Edward Kapuscik,Andrzej Horzela
Publisher : World Scientific
Page : 648 pages
File Size : 53,7 Mb
Release : 2002-06-26
Category : Science
ISBN : 9789814489201
Quantum Theory and Symmetries by Edward Kapuscik,Andrzej Horzela Pdf
This book presents the up-to-date status of quantum theory and the outlook for its development in the 21st century. The covered topics include basic problems of quantum physics, with emphasis on the foundations of quantum theory, quantum computing and control, quantum optics, coherent states and Wigner functions, as well as on methods of quantum physics based on Lie groups and algebras, quantum groups and noncommutative geometry. Contents:The Interacting Fock Space of Haldane's Exclusion Statistics (L Accardi & M Nhani)Complex Hamiltonians Having Real Spectra (C M Bender)From Rsonances to Poincaré Semigroups (A R Bohm et al.)Quantum Field Theory as Dynamical System (H J Borchers)Beta-lattices for Aperiodic Order (J-P Gazeau)Generalized Symmetries and Time (M Heller)Integrable Hierarchies and the WDVV-equations (G F Helminck)Global Gauss Law for Lattice QCD (J Kijowski & G Rudolph)Quantum Entanglement and Symmetries (M Kus)From Noncommutative Space-time to Quantum Relativistic Symmetries with Fundamental Mass Parameter (J Lukierski)Tomographic Map within the Framework of Star-product Quantization (O V Man'ko et al.)Algorithmic Cooling and Scalable Quantum Computers: Ways to Improve the Space-time Requirements of the Algorithm (T Mor & Y Weinstein)Quantum Theory on the Torus with Magnetic Field (H Narnhofer)Nonlocal Reflection by Photonic Barriers (G Nimtz & A Haibel)Lightfront Formalism versus Holography & Chiral Scanning (B Schroer)Broken Symmetries (W Thirring)Guage Theories on Non-communtative Spaces (J Wess) Readership: Researchers, lecturers and graduate students in theoretical, mathematical and quantum physics. Keywords:
Relativity, Symmetry, and the Structure of Quantum Theory, Volume 2
William H Klink,Wolfgang Schweiger
Author : William H Klink,Wolfgang Schweiger
Publisher : Morgan & Claypool Publishers
Page : 88 pages
File Size : 50,6 Mb
Release : 2018-03-23
Category : Science
ISBN : 9781681748900
Relativity, Symmetry, and the Structure of Quantum Theory, Volume 2 by William H Klink,Wolfgang Schweiger Pdf
The first version of quantum theory, developed in the mid 1920's, is what is called nonrelativistic quantum theory; it is based on a form of relativity which, in a previous volume, was called Newton relativity. But quickly after this first development, it was realized that, in order to account for high energy phenomena such as particle creation, it was necessary to develop a quantum theory based on Einstein relativity. This in turn led to the development of relativistic quantum field theory, which is an intrinsically many-body theory. But this is not the only possibility for a relativistic quantum theory. In this book we take the point of view of a particle theory, based on the irreducible representations of the Poincare group, the group that expresses the symmetry of Einstein relativity. There are several ways of formulating such a theory; we develop what is called relativistic point form quantum mechanics, which, unlike quantum field theory, deals with a fixed number of particles in a relativistically invariant way. A central issue in any relativistic quantum theory is how to introduce interactions without spoiling relativistic invariance. We show that interactions can be incorporated in a mass operator, in such a way that relativistic invariance is maintained. Surprisingly for a relativistic theory, such a construction allows for instantaneous interactions; in addition, dynamical particle exchange and particle production can be included in a multichannel formulation of the mass operator. For systems of more than two particles, however, straightforward application of such a construction leads to the undesirable property that clusters of widely separated particles continue to interact with one another, even if the interactions between the individual particles are of short range. A significant part of this volume deals with the solution of this problem. Since relativistic quantum mechanics is not as well-known as relativistic quantum field theory, a chapter is devoted to applications of point form quantum mechanics to nuclear physics; in particular we show how constituent quark models can be used to derive electromagnetic and other properties of hadrons.
Proceedings of the Second International Symposium on Quantum Theory and Symmetries
Andrzej Horzela
Author : Andrzej Horzela
Publisher : World Scientific
Page : 646 pages
File Size : 43,8 Mb
Release : 2002
Category : Science
ISBN : 9789810248871
Proceedings of the Second International Symposium on Quantum Theory and Symmetries by Andrzej Horzela Pdf
This book presents the up-to-date status of quantum theory and the outlook for its development in the 21st century. The covered topics include basic problems of quantum physics, with emphasis on the foundations of quantum theory, quantum computing and control, quantum optics, coherent states and Wigner functions, as well as on methods of quantum physics based on Lie groups and algebras, quantum groups and noncommutative geometry.
Quantum Mechanics with Non-Unitary Symmetries
Bojan Bistrovic
Author : Bojan Bistrovic
Publisher : Marsonia Press LLC
Page : 551 pages
File Size : 52,7 Mb
Release : 2020-04-22
Category : Science
ISBN : 9781734919912
Quantum Mechanics with Non-Unitary Symmetries by Bojan Bistrovic Pdf
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.
Quantum Theory and Symmetries
M. B. Paranjape,Richard MacKenzie,Zora Thomova,Pavel Winternitz,William Witczak-Krempa
Author : M. B. Paranjape,Richard MacKenzie,Zora Thomova,Pavel Winternitz,William Witczak-Krempa
Publisher : Springer Nature
Page : 670 pages
File Size : 54,6 Mb
Release : 2021
Category : Electronic books
ISBN : 9783030557775
Quantum Theory and Symmetries by M. B. Paranjape,Richard MacKenzie,Zora Thomova,Pavel Winternitz,William Witczak-Krempa Pdf
This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montreal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in their fields, have contributed reviews of the main topics to complement the original contributions. .
Quantum Theory And Symmetries - Proceedings Of The International Symposium
Vladimir K Dobrev,Heinz-dietrich Doebner,J-d Hennig,W Lucke
Author : Vladimir K Dobrev,Heinz-dietrich Doebner,J-d Hennig,W Lucke
Publisher : World Scientific
Page : 641 pages
File Size : 42,9 Mb
Release : 2000-05-05
Category : Science
ISBN : 9789814543040
Quantum Theory And Symmetries - Proceedings Of The International Symposium by Vladimir K Dobrev,Heinz-dietrich Doebner,J-d Hennig,W Lucke Pdf
This volume gives a representative survey of recent developments in relativistic and non-relativistic quantum theory, which are related to the application of symmetries in their most general sense. The corresponding mathematical notions are centered upon groups, algebras and their generalizations, and are applied in interaction with topology, differential geometry, functional analysis and related fields. Special emphasis is on results in the following areas: quantization methods, nonlinear evolution equations, foundation of quantum physics, algebraic quantum field theory, gauge and string theories, quantum information, quantum groups, discrete symmetries.
Fundamental Mathematical Structures of Quantum Theory
Valter Moretti
Author : Valter Moretti
Publisher : Springer
Page : 345 pages
File Size : 52,5 Mb
Release : 2019-06-20
Category : Science
ISBN : 9783030183462
Fundamental Mathematical Structures of Quantum Theory by Valter Moretti Pdf
This textbook presents in a concise and self-contained way the advanced fundamental mathematical structures in quantum theory. It is based on lectures prepared for a 6 months course for MSc students. The reader is introduced to the beautiful interconnection between logic, lattice theory, general probability theory, and general spectral theory including the basic theory of von Neumann algebras and of the algebraic formulation, naturally arising in the study of the mathematical machinery of quantum theories. Some general results concerning hidden-variable interpretations of QM such as Gleason's and the Kochen-Specker theorems and the related notions of realism and non-contextuality are carefully discussed. This is done also in relation with the famous Bell (BCHSH) inequality concerning local causality. Written in a didactic style, this book includes many examples and solved exercises. The work is organized as follows. Chapter 1 reviews some elementary facts and properties of quantum systems. Chapter 2 and 3 present the main results of spectral analysis in complex Hilbert spaces. Chapter 4 introduces the point of view of the orthomodular lattices' theory. Quantum theory form this perspective turns out to the probability measure theory on the non-Boolean lattice of elementary observables and Gleason's theorem characterizes all these measures. Chapter 5 deals with some philosophical and interpretative aspects of quantum theory like hidden-variable formulations of QM. The Kochen-Specker theorem and its implications are analyzed also in relation BCHSH inequality, entanglement, realism, locality, and non-contextuality. Chapter 6 focuses on the algebra of observables also in the presence of superselection rules introducing the notion of von Neumann algebra. Chapter 7 offers the idea of (groups of) quantum symmetry, in particular, illustrated in terms of Wigner and Kadison theorems. Chapter 8 deals with the elementary ideas and results of the so called algebraic formulation of quantum theories in terms of both *-algebras and C*-algebras. This book should appeal to a dual readership: on one hand mathematicians that wish to acquire the tools that unlock the physical aspects of quantum theories; on the other physicists eager to solidify their understanding of the mathematical scaffolding of quantum theories.
Quantum Electrodynamics
V B Berestetskii,L. P. Pitaevskii,E.M. Lifshitz
Author : V B Berestetskii,L. P. Pitaevskii,E.M. Lifshitz
Publisher : Elsevier
Page : 669 pages
File Size : 50,7 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780080503462
Quantum Electrodynamics by V B Berestetskii,L. P. Pitaevskii,E.M. Lifshitz Pdf
Several significant additions have been made to the second edition, including the operator method of calculating the bremsstrahlung cross-section, the calcualtion of the probabilities of photon-induced pair production and photon decay in a magnetic field, the asymptotic form of the scattering amplitudes at high energies, inelastic scattering of electrons by hadrons, and the transformation of electron-positron pairs into hadrons.
Symmetries and Group Theory in Particle Physics
Giovanni Costa,Gianluigi Fogli
Author : Giovanni Costa,Gianluigi Fogli
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 50,5 Mb
Release : 2012-02-05
Category : Science
ISBN : 9783642154812
Symmetries and Group Theory in Particle Physics by Giovanni Costa,Gianluigi Fogli Pdf
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.
Symmetries in Science IV
Bruno Gruber,John H. Yopp
Author : Bruno Gruber,John H. Yopp
Publisher : Springer Science & Business Media
Page : 250 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461305972
Symmetries in Science IV by Bruno Gruber,John H. Yopp Pdf
Proceedings of a symposium at Vorarlberg, Austria, July 1989, called to allow interaction between scientists working in areas of biological and biophysical research, and those working in physics and mathematics. The 11 papers include discussions of such topics as symmetry in synthetic and natural pe
A First Course on Symmetry, Special Relativity and Quantum Mechanics
Gabor Kunstatter,Saurya Das
Author : Gabor Kunstatter,Saurya Das
Publisher : Springer Nature
Page : 410 pages
File Size : 53,8 Mb
Release : 2022-02-18
Category : Science
ISBN : 9783030923464
A First Course on Symmetry, Special Relativity and Quantum Mechanics by Gabor Kunstatter,Saurya Das Pdf
This book provides an in-depth and accessible description of special relativity and quantum mechanics which together form the foundation of 21st century physics. A novel aspect is that symmetry is given its rightful prominence as an integral part of this foundation. The book offers not only a conceptual understanding of symmetry, but also the mathematical tools necessary for quantitative analysis. As such, it provides a valuable precursor to more focused, advanced books on special relativity or quantum mechanics. Students are introduced to several topics not typically covered until much later in their education.These include space-time diagrams, the action principle, a proof of Noether's theorem, Lorentz vectors and tensors, symmetry breaking and general relativity. The book also provides extensive descriptions on topics of current general interest such as gravitational waves, cosmology, Bell's theorem, entanglement and quantum computing. Throughout the text, every opportunity is taken to emphasize the intimate connection between physics, symmetry and mathematics.The style remains light despite the rigorous and intensive content. The book is intended as a stand-alone or supplementary physics text for a one or two semester course for students who have completed an introductory calculus course and a first-year physics course that includes Newtonian mechanics and some electrostatics. Basic knowledge of linear algebra is useful but not essential, as all requisite mathematical background is provided either in the body of the text or in the Appendices. Interspersed through the text are well over a hundred worked examples and unsolved exercises for the student.
