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Clifford Algebras and Their Applications in Mathematical Physics

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Cover of 'Clifford Algebras and Their Applications in Mathematical Physics'

Table of Contents

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    Book Overview
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    Chapter 1 A Unified Language for Mathematics and Physics
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    Chapter 2 Clifford Algebras and Spinors
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    Chapter 3 Pseudo-Euclidean Hurwitz Pairs and Generalized Fueter Equations
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    Chapter 4 A New Representation for Spinors in Real Clifford Algebras
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    Chapter 5 Primitive Idempotents and Indecomposable Left Ideals in Degenerate Clifford Algebras
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    Chapter 6 Groupes De Clifford Et Groupes Des Spineurs
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    Chapter 7 Algebres De Clifford C r,s + Des Espaces Quadratiques Pseudo-Euclidiens Standards E r,s Et Structures Correspondantes Sur Les Espaces De Spineurs Associes. Plongements Naturels Des Quadratiques Projectives Reelles Q∼(E r,s ) Attachees Aux Espaces E r,s
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    Chapter 8 Spin Groups Associated with Degenerate Orthogonal Spaces
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    Chapter 9 Algebres De Clifford Separables II
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    Chapter 10 Sur Une Question De Micali-Villamayor
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    Chapter 11 Spingroups and Spherical Monogenics
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    Chapter 12 Left Regular Polynomials in Even Dimensions, and Tensor Products of Clifford Algebras
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    Chapter 13 Spingroups and Spherical Means
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    Chapter 14 The Biregular Functions of Clifford Analysis: Some Special Topics
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    Chapter 15 Clifford Numbers and Möbius Transformations in R n
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    Chapter 16 A Clifford Calculus for Physical Field Theories
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    Chapter 17 Generalized C-R Equations on Manifolds
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    Chapter 18 Integral Formulae in Complex Clifford Analysis
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    Chapter 19 Killing Vectors and Embedding of Exact Solutions in General Relativity
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    Chapter 20 From Grassmann to Clifford
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    Chapter 21 Lorentzian Applications of Pure Spinors
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    Chapter 22 The Poincaré Group
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    Chapter 23 Minimal Ideals and Clifford Algebras in the Phase Space Representation of Spin-1/2 Fields
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    Chapter 24 Some Consequences of the Clifford Algebra Approach to Physics
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    Chapter 25 Algebraic Ideas in Fundamental Physics from Dirac-Algebra to Superstrings
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    Chapter 26 On two Supersymmetric Approaches to Quantum Gravity: Clifford Algebra Degeneracy v Extended Objects
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    Chapter 27 Clifford Algebra and the Interpretation of Quantum Mechanics
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    Chapter 28 Representation-Free Calculations in Relativistic Quantum Mechanics
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    Chapter 29 Dirac Equation for Bispinor Densities
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    Chapter 30 Unified Spin Gauge Theory Models
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    Chapter 31 U(2,2) Spin-Gauge Theory Simplification by use of the Dirac Algebra
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    Chapter 32 Spin(8) Gauge Field Theory
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    Chapter 33 Clifford Algebras, Projective Representations and Classification of Fundamental Particles
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    Chapter 34 Fermionic Clifford Algebras and Supersymmetry
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    Chapter 35 On Geometry and Physics of Staggered Lattice Fermions
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    Chapter 36 A System of Vectors and Spinors in Complex Spacetime and their Application to Elementary Particle Physics
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    Chapter 37 Spinors as Components of the Metrical Tensor in 8-Dimensional Relativity
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    Chapter 38 Multivector Solution to Harmonic Systems
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    Chapter 39 The Importance of Meaningful Conservation Equations in Relativistic Quantum Mechanics for the Sources of Classical Fields
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    Chapter 40 Electromagnetic Theory and Network Theory Using Clifford Algebra
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    Chapter 41 Remarks on Clifford Algebra in Classical Electromagnetism
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    Chapter 42 Quaternionic Formulation of Classical Electromagnetic Fields and Theory of Functions of a Biquaternion Variable
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    Chapter 43 Comparison of Clifford and Grassmann Algebras in Applications to Electromagnetics
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    Chapter 44 Symplectic Clifford Algebras
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    Chapter 45 Walsh Functions, Clifford Algebras and Cayley-Dickson Process
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    Chapter 46 Z(N)-Spin Systems and Generalised Clifford Algebras
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    Chapter 47 Generalized Clifford Algebras and Spin Lattice Systems
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    Chapter 48 Clifford Algebra, Its Generalisations and Physical Applications
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    Chapter 49 Application of Clifford Algebras to *-Products
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    Chapter 50 On Regular Functions of a Power-Associative Hypercomplex Variable
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    Chapter 51 On a Geometric Torogonal Quantization Scheme
Overall attention for this book and its chapters
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Title
Clifford Algebras and Their Applications in Mathematical Physics
Published by
Springer Netherlands, December 2012
DOI 10.1007/978-94-009-4728-3
ISBNs
978-9-40-108602-8, 978-9-40-094728-3
Editors

Chisholm, J. S. R., Common, A. K.

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 56 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 56 100%

Demographic breakdown

Readers by professional status Count As %
Researcher 1 2%
Unknown 55 98%
Readers by discipline Count As %
Neuroscience 1 2%
Unknown 55 98%

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