Author: Ivan T Todorov
Publisher:
ISBN: 9783642828690
Category :
Languages : en
Pages : 84
Book Description
Conformal Description of Spinning Particles
Author: Ivan T Todorov
Publisher:
ISBN: 9783642828690
Category :
Languages : en
Pages : 84
Book Description
Publisher:
ISBN: 9783642828690
Category :
Languages : en
Pages : 84
Book Description
Kinematical Theory of Spinning Particles
Author: M. Rivas
Publisher: Springer Science & Business Media
ISBN: 0306471337
Category : Science
Languages : en
Pages : 353
Book Description
Classical spin is described in terms of velocities and acceleration so that knowledge of advanced mathematics is not required. Written in the three-dimensional notation of vector calculus, it can be followed by undergraduate physics students, although some notions of Lagrangian dynamics and group theory are required. It is intended as a general course at a postgraduate level for all-purpose physicists. This book presents a unified approach to classical and quantum mechanics of spinning particles, with symmetry principles as the starting point. A classical concept of an elementary particle is presented. The variational statements to deal with spinning particles are revisited. It is shown that, by explicitly constructing different models, symmetry principles are sufficient for the description of either classical or quantum-mechanical elementary particles. Several spin effects are analyzed.
Publisher: Springer Science & Business Media
ISBN: 0306471337
Category : Science
Languages : en
Pages : 353
Book Description
Classical spin is described in terms of velocities and acceleration so that knowledge of advanced mathematics is not required. Written in the three-dimensional notation of vector calculus, it can be followed by undergraduate physics students, although some notions of Lagrangian dynamics and group theory are required. It is intended as a general course at a postgraduate level for all-purpose physicists. This book presents a unified approach to classical and quantum mechanics of spinning particles, with symmetry principles as the starting point. A classical concept of an elementary particle is presented. The variational statements to deal with spinning particles are revisited. It is shown that, by explicitly constructing different models, symmetry principles are sufficient for the description of either classical or quantum-mechanical elementary particles. Several spin effects are analyzed.
Spinors In Physics And Geometry
Author: Giuseppe Furlan
Publisher: World Scientific
ISBN: 9814644447
Category :
Languages : en
Pages : 368
Book Description
This conference brought together physicists and mathematicians working on spinors, which have played an important role in recent research on supersymmetry, Kaluza-Klein theories, twistors and general relativity.
Publisher: World Scientific
ISBN: 9814644447
Category :
Languages : en
Pages : 368
Book Description
This conference brought together physicists and mathematicians working on spinors, which have played an important role in recent research on supersymmetry, Kaluza-Klein theories, twistors and general relativity.
Conformal Groups in Geometry and Spin Structures
Author: Pierre Anglès
Publisher: Springer Science & Business Media
ISBN: 0817646434
Category : Mathematics
Languages : en
Pages : 307
Book Description
This book provides a self-contained overview of the role of conformal groups in geometry and mathematical physics. It features a careful development of the material, from the basics of Clifford algebras to more advanced topics. Each chapter covers a specific aspect of conformal groups and conformal spin geometry. All major concepts are introduced and followed by detailed descriptions and definitions, and a comprehensive bibliography and index round out the work. Rich in exercises that are accompanied by full proofs and many hints, the book will be ideal as a course text or self-study volume for senior undergraduates and graduate students.
Publisher: Springer Science & Business Media
ISBN: 0817646434
Category : Mathematics
Languages : en
Pages : 307
Book Description
This book provides a self-contained overview of the role of conformal groups in geometry and mathematical physics. It features a careful development of the material, from the basics of Clifford algebras to more advanced topics. Each chapter covers a specific aspect of conformal groups and conformal spin geometry. All major concepts are introduced and followed by detailed descriptions and definitions, and a comprehensive bibliography and index round out the work. Rich in exercises that are accompanied by full proofs and many hints, the book will be ideal as a course text or self-study volume for senior undergraduates and graduate students.
Noncompact Semisimple Lie Algebras and Groups
Author: Vladimir K. Dobrev
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110427648
Category : Mathematics
Languages : en
Pages : 422
Book Description
With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups. Contents: Introduction Lie Algebras and Groups Real Semisimple Lie Algebras Invariant Differential Operators Case of the Anti-de Sitter Group Conformal Case in 4D Kazhdan–Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant Equations Invariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie Algebras Multilinear Invariant Differential Operators from New Generalized Verma Modules Bibliography Author Index Subject Index
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110427648
Category : Mathematics
Languages : en
Pages : 422
Book Description
With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups. Contents: Introduction Lie Algebras and Groups Real Semisimple Lie Algebras Invariant Differential Operators Case of the Anti-de Sitter Group Conformal Case in 4D Kazhdan–Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant Equations Invariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie Algebras Multilinear Invariant Differential Operators from New Generalized Verma Modules Bibliography Author Index Subject Index
Dynamical Groups and Spectrum Generating Algebras
Author: Arno B?hm
Publisher: World Scientific
ISBN: 9789971501471
Category : Mathematics
Languages : en
Pages : 606
Book Description
This book contains comprehensive reviews and reprints on dynamical groups, spectrum generating algebras and spectrum supersymmetries, and their applications in atomic and molecular physics, nuclear physics, particle physics, and condensed matter physics. It is an important source for researchers as well as students who are doing courses on Quantum Mechanics and Advanced Quantum Mechanics.
Publisher: World Scientific
ISBN: 9789971501471
Category : Mathematics
Languages : en
Pages : 606
Book Description
This book contains comprehensive reviews and reprints on dynamical groups, spectrum generating algebras and spectrum supersymmetries, and their applications in atomic and molecular physics, nuclear physics, particle physics, and condensed matter physics. It is an important source for researchers as well as students who are doing courses on Quantum Mechanics and Advanced Quantum Mechanics.
Mathematics + Physics
Author: Ludwig Streit
Publisher: World Scientific
ISBN: 9789971966638
Category : Science
Languages : en
Pages : 350
Book Description
This publication contains a collection of lectures presented by mathematicians and physicists at seminars held at the Center for Interdisciplinary Research, University of Bielefeld
Publisher: World Scientific
ISBN: 9789971966638
Category : Science
Languages : en
Pages : 350
Book Description
This publication contains a collection of lectures presented by mathematicians and physicists at seminars held at the Center for Interdisciplinary Research, University of Bielefeld
Dynamical Groups And Spectrum Generating Algebras (In 2 Volumes)
Author: Arno Bohm
Publisher: World Scientific
ISBN: 9814590622
Category : Science
Languages : en
Pages : 1171
Book Description
This book contains comprehensive reviews and reprints on dynamical groups, spectrum generating algebras and spectrum supersymmetries, and their applications in atomic and molecular physics, nuclear physics, particle physics, and condensed matter physics. It is an important source for researchers as well as students who are doing courses on Quantum Mechanics and Advanced Quantum Mechanics.
Publisher: World Scientific
ISBN: 9814590622
Category : Science
Languages : en
Pages : 1171
Book Description
This book contains comprehensive reviews and reprints on dynamical groups, spectrum generating algebras and spectrum supersymmetries, and their applications in atomic and molecular physics, nuclear physics, particle physics, and condensed matter physics. It is an important source for researchers as well as students who are doing courses on Quantum Mechanics and Advanced Quantum Mechanics.
Mathematics + Physics: Lectures On Recent Results (Volume 1)
Author: Ludwig Streit
Publisher: World Scientific
ISBN: 9814520977
Category : Science
Languages : en
Pages : 348
Book Description
Contents: Almost Periodic Schrödinger Operators (J Bellissard, R Lima, D Testard)Energy Forms and Diffusion Processes (M Fukushima)Block Spin Renormalization (K Gawedzki)Decomposition of Functions into Wavelets of Constant Shape, and Related Transforms (A Grossmann, J Morlet)Brownian Functionals and the Rotation Group (T Hida)Local Field Representations of the Conformal Group and their Applications (I T Todorov) Readership: Mathematicians and Physicists.
Publisher: World Scientific
ISBN: 9814520977
Category : Science
Languages : en
Pages : 348
Book Description
Contents: Almost Periodic Schrödinger Operators (J Bellissard, R Lima, D Testard)Energy Forms and Diffusion Processes (M Fukushima)Block Spin Renormalization (K Gawedzki)Decomposition of Functions into Wavelets of Constant Shape, and Related Transforms (A Grossmann, J Morlet)Brownian Functionals and the Rotation Group (T Hida)Local Field Representations of the Conformal Group and their Applications (I T Todorov) Readership: Mathematicians and Physicists.
Gauge Field Theory and Complex Geometry
Author: Yuri I. Manin
Publisher: Springer Science & Business Media
ISBN: 9783540613787
Category : Mathematics
Languages : en
Pages : 368
Book Description
From the reviews: "... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics )"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter) " The contents are highly technical and the pace of the exposition is quite fast. Manin is an outstanding mathematician, and writer as well, perfectly at ease in the most abstract and complex situation. With such a guide the reader will be generously rewarded!" (Physicalia) This new edition includes an Appendix on developments of the last 10 years, by S. Merkulov.
Publisher: Springer Science & Business Media
ISBN: 9783540613787
Category : Mathematics
Languages : en
Pages : 368
Book Description
From the reviews: "... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics )"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter) " The contents are highly technical and the pace of the exposition is quite fast. Manin is an outstanding mathematician, and writer as well, perfectly at ease in the most abstract and complex situation. With such a guide the reader will be generously rewarded!" (Physicalia) This new edition includes an Appendix on developments of the last 10 years, by S. Merkulov.