The Relation Between Maxwell, Dirac, and the Seiburg-Witten Equations PDF Download

Author: W. A. Rodrigues
Publisher:
ISBN:
Category : Dirac equation
Languages : en
Pages : 48

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Book Description

Author: Waldyr A. Rodrigues
Publisher: Springer Science & Business Media
ISBN: 3540712925
Category : Mathematics
Languages : en
Pages : 452

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Book Description
This book is a comprehensive reference on differential geometry. It shows that Maxwell, Dirac and Einstein fields, which were originally considered objects of a very different mathematical nature, have representatives as objects of the same mathematical nature. The book also analyzes some foundational issues of relativistic field theories. All calculation procedures are illustrated by many exercises that are solved in detail.

Author: Waldyr A. Rodrigues, Jr
Publisher: Springer
ISBN: 3319276379
Category : Science
Languages : en
Pages : 592

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Book Description
This book is an exposition of the algebra and calculus of differential forms, of the Clifford and Spin-Clifford bundle formalisms, and of vistas to a formulation of important concepts of differential geometry indispensable for an in-depth understanding of space-time physics. The formalism discloses the hidden geometrical nature of spinor fields. Maxwell, Dirac and Einstein fields are shown to have representatives by objects of the same mathematical nature, namely sections of an appropriate Clifford bundle. This approach reveals unity in diversity and suggests relationships that are hidden in the standard formalisms and opens new paths for research. This thoroughly revised second edition also adds three new chapters: on the Clifford bundle approach to the Riemannian or semi-Riemannian differential geometry of branes; on Komar currents in the context of the General Relativity theory; and an analysis of the similarities and main differences between Dirac, Majorana and ELKO spinor fields. The exercises with solutions, the comprehensive list of mathematical symbols, and the list of acronyms and abbreviations are provided for self-study for students as well as for classes. From the reviews of the first edition: “The text is written in a very readable manner and is complemented with plenty of worked-out exercises which are in the style of extended examples. ... their book could also serve as a textbook for graduate students in physics or mathematics." (Alberto Molgado, Mathematical Reviews, 2008 k)

Author: Waldyr A. Rodrigues
Publisher: Springer
ISBN: 9783540836209
Category : Mathematics
Languages : en
Pages : 445

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Book Description
This book is a comprehensive reference on differential geometry. It shows that Maxwell, Dirac and Einstein fields, which were originally considered objects of a very different mathematical nature, have representatives as objects of the same mathematical nature. The book also analyzes some foundational issues of relativistic field theories. All calculation procedures are illustrated by many exercises that are solved in detail.

Author: Vladimir K Dobrev
Publisher: World Scientific
ISBN: 9814543047
Category : Science
Languages : en
Pages : 641

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Book Description
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.

Author: Victor Christianto
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 5

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In this paper, we discuss Maxwell-Dirac isomorphism and quantum entanglement.

Author: Peter Legg Graham
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 126

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Book Description

Author: Boris N. Apanasov
Publisher: Walter de Gruyter
ISBN: 3110805057
Category : Mathematics
Languages : en
Pages : 361

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Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Author: W. A. Rodrigues
Publisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages : 66

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Book Description

Author: Source Wikipedia
Publisher: University-Press.org
ISBN: 9781230631394
Category :
Languages : en
Pages : 216

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Book Description
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 214. Chapters: Maxwell's equations, Schrodinger equation, Wave, Partial differential equation, Navier-Stokes equations, Dirac equation, Cauchy-Riemann equations, Noether's theorem, Well-posed problem, Camassa-Holm equation, Spherical harmonics, Theoretical and experimental justification for the Schrodinger equation, Derivation of the Navier-Stokes equations, Finite element method, Large eddy simulation, Maxwell's equations in curved spacetime, Einstein field equations, List of nonlinear partial differential equations, Computational electromagnetics, Signorini problem, Particle in a spherically symmetric potential, Euler-Lagrange equation, Hamilton-Jacobi equation, Electromagnetic wave equation, Method of quantum characteristics, Elliptic boundary value problem, Korteweg-de Vries equation, Ricci flow, Variational inequality, D-module, Integrable system, Degasperis-Procesi equation, Larmor formula, Navier-Stokes existence and smoothness, Separation of variables, Young-Laplace equation, Multigrid method, Klein-Gordon equation, Solid harmonics, Groundwater flow equation, Method of characteristics, Nonlinear Schrodinger equation, Primitive equations, Hearing the shape of a drum, Mason-Weaver equation, Green's function for the three-variable Laplace equation, Hunter-Saxton equation, Obstacle problem, Hasegawa-Mima equation, Inhomogeneous electromagnetic wave equation, Riemann-Hilbert problem, Vibrations of a circular drum, Homotopy principle, Potential theory, Overdetermined system, Seiberg-Witten invariant, Omega equation, Dirichlet eigenvalue, Underdetermined system, Hilbert's nineteenth problem, Pseudo-differential operator, Change of variables, Eikonal equation, Continuity equation, Inverse scattering transform, Stefan problem, Isothermal coordinates, Parametrix, Wiener-Hopf method, Poisson's...