Quantum Theory And Symmetries

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Quantum Theory and Symmetries

M. B. Paranjape,Richard MacKenzie,Zora Thomova,Pavel Winternitz,William Witczak-Krempa
Quantum Theory and Symmetries Book PDF

Author : M. B. Paranjape,Richard MacKenzie,Zora Thomova,Pavel Winternitz,William Witczak-Krempa
Publisher : Springer Nature
Page : 670 pages
File Size : 43,5 Mb
Release : 2021
Category : Electronic books
ISBN : 9783030557775

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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 Mechanics

Walter Greiner,Berndt Müller
Quantum Mechanics Book PDF

Author : Walter Greiner,Berndt Müller
Publisher : Springer Science & Business Media
Page : 538 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642579769

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Quantum Mechanics by Walter Greiner,Berndt Müller Pdf

Greiner's lectures, which underlie these volumes, are internationally noted for their clarity, their completeness and for the effort that he has devoted to making physics an integral whole; his enthusiasm for his science is contagious and shines through almost every page. These volumes represent only a part of a unique and Herculean effort to make all of theoretical physics accessible to the interested student. Beyond that, they are of enormous value to the professional physicist and to all others working with quantum phenomena. Again and again the reader will find that, after dipping into a particular volume to review a specific topic, he will end up browsing, caught up by often fascinating new insights and developments with which he had not previously been familiar. Having used a number of Greiner's volumes in their original German in my teaching and research at Yale, I welcome these new and revised English translations and would recommend them enthusiastically to anyone searching for a coherent overview of physics.

Quantum Theory And Symmetries - Proceedings Of The International Symposium

Vladimir K Dobrev,Heinz-dietrich Doebner,J-d Hennig,W Lucke
Quantum Theory And Symmetries Proceedings Of The International Symposium Book PDF

Author : Vladimir K Dobrev,Heinz-dietrich Doebner,J-d Hennig,W Lucke
Publisher : World Scientific
Page : 641 pages
File Size : 43,8 Mb
Release : 2000-05-05
Category : Science
ISBN : 9789814543040

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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.

Proceedings of the 3rd International Symposium, Quantum Theory and Symmetries

Philip C. Argyres
Proceedings of the 3rd International Symposium Quantum Theory and Symmetries Book PDF

Author : Philip C. Argyres
Publisher : World Scientific
Page : 803 pages
File Size : 44,6 Mb
Release : 2004
Category : Science
ISBN : 9789812702340

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Proceedings of the 3rd International Symposium, Quantum Theory and Symmetries by Philip C. Argyres Pdf

The book contains the text of lectures given at the third of a series of biennial symposia in mathematical physics held in odd-numbered years. The subject of the symposium is the frontiers of mathematical physics. It deals with quantum phenomena and includes topics such as string theory and quantum gravity, particle physics and field theory, non-communative geometry, integrable models and infinite dimensional symmetry groups, quantum computing and information processing, and quantum chaos. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences."

Proceedings of the Second International Symposium on Quantum Theory and Symmetries

Edward Kapuścik,Andrzej Horzela
Proceedings of the Second International Symposium on Quantum Theory and Symmetries Book PDF

Author : Edward Kapuścik,Andrzej Horzela
Publisher : World Scientific
Page : 656 pages
File Size : 55,8 Mb
Release : 2002
Category : Science
ISBN : 9812777857

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Proceedings of the Second International Symposium on Quantum Theory and Symmetries by Edward Kapuścik,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

Walter Greiner,Berndt Müller
Quantum Mechanics Book PDF

Author : Walter Greiner,Berndt Müller
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 44,8 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662009024

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Quantum Mechanics by Walter Greiner,Berndt Müller Pdf

"Quantum Dynamics" is a major survey of quantum theory based on Walter Greiner's long-running and highly successful courses at the University of Frankfurt. The key to understanding in quantum theory is to reinforce lecture attendance and textual study by working through plenty of representative and detailed examples. Firm belief in this principle led Greiner to develop his unique course and to transform it into a remarkable and comprehensive text. The text features a large number of examples and exercises involving many of the most advanced topics in quantum theory. These examples give practical and precise demonstrations of how to use the often subtle mathematics behind quantum theory. The text is divided into five volumes: Quantum Mechanics I - An Introduction, Quantum Mechanics II - Symmetries, Relativistic Quantum Mechanics, Quantum Electrodynamics, Gauge Theory of Weak Interactions. These five volumes take the reader from the fundamental postulates of quantum mechanics up to the latest research in particle physics. Volume 2 presents a particularly appealing and successful theme in advanced quantum mechanics - symmetries. After a brief introduction to symmetries in classical mechanics, the text turns to their relevance in quantum mechanics, the consequences of rotation symmetry and the general theory of Lie groups. The Isospin group, hypercharge, SU (3) and their applications are all dealt with in depth before a chapter on charm and SU (3) leads to the frontiers of research in particle physics. Almost a hundred detailed, worked examples and problems make this a truly unique text on a fascinating side of modern physics.

Symmetry and Quantum Mechanics

Scott Corry
Symmetry and Quantum Mechanics Book PDF

Author : Scott Corry
Publisher : CRC Press
Page : 177 pages
File Size : 53,7 Mb
Release : 2016-11-25
Category : Mathematics
ISBN : 9781315354606

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Symmetry and Quantum Mechanics by Scott Corry Pdf

Structured as a dialogue between a mathematician and a physicist, Symmetry and Quantum Mechanics unites the mathematical topics of this field into a compelling and physically-motivated narrative that focuses on the central role of symmetry. Aimed at advanced undergraduate and beginning graduate students in mathematics with only a minimal background in physics, this title is also useful to physicists seeking a mathematical introduction to the subject. Part I focuses on spin, and covers such topics as Lie groups and algebras, while part II offers an account of position and momentum in the context of the representation theory of the Heisenberg group, along the way providing an informal discussion of fundamental concepts from analysis such as self-adjoint operators on Hilbert space and the Stone-von Neumann Theorem. Mathematical theory is applied to physical examples such as spin-precession in a magnetic field, the harmonic oscillator, the infinite spherical well, and the hydrogen atom.

Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2

Vladimir Dobrev
Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2 Book PDF

Author : Vladimir Dobrev
Publisher : Springer
Page : 440 pages
File Size : 46,5 Mb
Release : 2018-09-30
Category : Science
ISBN : 9789811321795

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Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2 by Vladimir Dobrev Pdf

This book is the second volume of the proceedings of 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), 19–25 June 2017, Varna, Bulgaria. The QTS series started around the core concept that symmetries underlie all descriptions of quantum systems. It has since evolved into a symposium on the frontiers 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 facets of physics. As an interface between mathematics and physics the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists. In the division of the material between the two volumes, the Editor has tried to select for the first and second volumes papers that are more oriented toward mathematics and physics, respectively. However, this division is relative since many papers could have been placed in either volume. The topics covered in this volume represent the most modern trends in the fields of the joint conferences: symmetries in string theories, conformal field theory, holography, gravity theories and cosmology, gauge theories, foundations of quantum theory, nonrelativistic and classical theories.

Symmetries in Quantum Mechanics

M Chaichian,R Hagedorn
Symmetries in Quantum Mechanics Book PDF

Author : M Chaichian,R Hagedorn
Publisher : CRC Press
Page : 320 pages
File Size : 47,8 Mb
Release : 2023-07-21
Category : Science
ISBN : 9781000944167

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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.

The Theory of Symmetry Actions in Quantum Mechanics

Gianni Cassinelli,Ernesto Vito,Alberto Levrero,Pekka J. Lahti
The Theory of Symmetry Actions in Quantum Mechanics Book PDF

Author : Gianni Cassinelli,Ernesto Vito,Alberto Levrero,Pekka J. Lahti
Publisher : Springer Science & Business Media
Page : 132 pages
File Size : 40,9 Mb
Release : 2004-10-27
Category : Science
ISBN : 3540228020

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The Theory of Symmetry Actions in Quantum Mechanics by Gianni Cassinelli,Ernesto Vito,Alberto Levrero,Pekka J. Lahti Pdf

This is a book about representing symmetry in quantum mechanics. The book is on a graduate and/or researcher level and it is written with an attempt to be concise, to respect conceptual clarity and mathematical rigor. The basic structures of quantum mechanics are used to identify the automorphism group of quantum mechanics. The main concept of a symmetry action is defined as a group homomorphism from a given group, the group of symmetries, to the automorphism group of quantum mechanics. The structure of symmetry actions is determined under the assumption that the symmetry group is a Lie group. The Galilei invariance is used to illustrate the general theory by giving a systematic presentation of a Galilei invariant elementary particle. A brief description of the Galilei invariant wave equations is also given.

Spectral Theory and Quantum Mechanics

Valter Moretti
Spectral Theory and Quantum Mechanics Book PDF

Author : Valter Moretti
Publisher : Springer
Page : 950 pages
File Size : 47,7 Mb
Release : 2018-01-30
Category : Mathematics
ISBN : 9783319707068

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Spectral Theory and Quantum Mechanics by Valter Moretti Pdf

This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory features that are relevant in physics. After exploring physical phenomenology, it then turns its attention to the formal and logical aspects of the theory. Further, this Second Edition collects in one volume a number of useful rigorous results on the mathematical structure of quantum mechanics focusing in particular on von Neumann algebras, Superselection rules, the various notions of Quantum Symmetry and Symmetry Groups, and including a number of fundamental results on the algebraic formulation of quantum theories. Intended for Master's and PhD students, both in physics and mathematics, the material is designed to be self-contained: it includes a summary of point-set topology and abstract measure theory, together with an appendix on differential geometry. The book also benefits established researchers by organizing and presenting the profusion of advanced material disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly."

Physics from Symmetry

Jakob Schwichtenberg
Physics from Symmetry Book PDF

Author : Jakob Schwichtenberg
Publisher : Springer
Page : 287 pages
File Size : 50,6 Mb
Release : 2017-12-01
Category : Science
ISBN : 9783319666310

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Physics from Symmetry by Jakob Schwichtenberg Pdf

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.

Quantum Symmetries

Guillaume Aubrun,Adam Skalski,Roland Speicher
Quantum Symmetries Book PDF

Author : Guillaume Aubrun,Adam Skalski,Roland Speicher
Publisher : Springer
Page : 119 pages
File Size : 41,8 Mb
Release : 2017-10-11
Category : Mathematics
ISBN : 9783319632063

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Quantum Symmetries by Guillaume Aubrun,Adam Skalski,Roland Speicher Pdf

Providing an introduction to current research topics in functional analysis and its applications to quantum physics, this book presents three lectures surveying recent progress and open problems. A special focus is given to the role of symmetry in non-commutative probability, in the theory of quantum groups, and in quantum physics. The first lecture presents the close connection between distributional symmetries and independence properties. The second introduces many structures (graphs, C*-algebras, discrete groups) whose quantum symmetries are much richer than their classical symmetry groups, and describes the associated quantum symmetry groups. The last lecture shows how functional analytic and geometric ideas can be used to detect and to quantify entanglement in high dimensions. The book will allow graduate students and young researchers to gain a better understanding of free probability, the theory of compact quantum groups, and applications of the theory of Banach spaces to quantum information. The latter applications will also be of interest to theoretical and mathematical physicists working in quantum theory.

Quantum Theory and Symmetries

Heinz Dietrich Doebner
Quantum Theory and Symmetries Book PDF

Author : Heinz Dietrich Doebner
Publisher : World Scientific
Page : 648 pages
File Size : 48,5 Mb
Release : 2000
Category : Science
ISBN : 9810242379

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Quantum Theory and Symmetries by Heinz Dietrich Doebner Pdf

This volume gives an overview of the recent representative developments in relativistic and non-relativistic quantum theory, which are related to the application of various mathematical notions of various symmetries. These notions are centered upon groups, algebras and their generalizations, and are applied in interaction with topology, differential geometry, functional analysis and related fields. The emphasis is on results in the following areas: foundation of quantum physics, quantization methods, nonlinear quantum mechanics, algebraic quantum field theory, gauge and string theories, discrete spaces, quantum groups and generalized symmetries.

Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1

Vladimir Dobrev
Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1 Book PDF

Author : Vladimir Dobrev
Publisher : Springer
Page : 427 pages
File Size : 47,9 Mb
Release : 2018-11-28
Category : Mathematics
ISBN : 9789811327155

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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.