Clifford Algebras and Their Applications in Mathematical Physics

Clifford Algebras and Their Applications in Mathematical Physics

Paperback(Softcover reprint of the original 1st ed. 1986)

Want it by Wednesday, November 21 Order now and choose Expedited Shipping during checkout.

Product Details

ISBN-13: 9789401086028
Publisher: Springer Netherlands
Publication date: 03/14/2012
Series: Nato Science Series C: , #183
Edition description: Softcover reprint of the original 1st ed. 1986
Pages: 592
Product dimensions: 6.10(w) x 9.25(h) x 0.05(d)

Table of Contents

General Surveys.- A Unified Language for Mathematics and Physics.- Clifford Algebras and Spinors.- Classification of Clifford Algebras.- Pseudo-Euclidean Hurwitz Pairs and Generalized Fueter Equations.- A New Representation for Spinors in Real Clifford Algebras.- Primitive Idempotents and Indecomposable Left Ideals in Degenerate Clifford Algebras.- Spin Groups.- Groupes de Clifford et Groupes des Spineurs.- Algebres de Clifford Cr,s+ des Espaces Quadratiques Pseudo-Euclidiens standards Er,s et structures correspondantes sur les espaces de Spineurs Associes. Plongements Naturels des Quadratiques Projectives Reelles Q(E r,s) attachees aux Espaces Er,s.- Spin Groups associated with Degenerate Orthogonal Spaces.- Algebres de Clifford Separables II.- Sur une Question de Micali-Villamayor.- Clifford Analysis.- Spingroups and Spherical Monogenies.- Left Regular Polynomials in Even Dimensions, and Tensor Products of Clifford Algebras.- Spingroups and Spherical Means.- The Biregular Functions of Clifford Analysis: Some Special Topics.- Clifford Numbers and Möbius Transformations in Rn.- Mathematical Physics.- A Clifford Calculus for Physical Field Theories.- Generalized C-R Equations on Manifolds.- Integral Formulae in Complex Clifford Analysis.- Killing Vectors and Embedding of Exact Solutions in General Relativity.- From Grassmann to Clifford.- Lorentzian Applications of Pure Spinors.- The Poincaré Group.- Minimal Ideals and Clifford Algebras in the Phase Space Representation of Spin-1/2 Fields.- Some Consequences of the Clifford Algebra Approach to Physics.- Physical Models.- Algebraic Ideas in Fundamental Physics from Dirac-algebra to Superstrings.- On Two Supersymmetric Approaches to Quantum Gravity: Clifford Algebra Degeneracy v Extended Objects.- Clifford Algebra and the Interpretation of Quantum Mechanics.- Representation-free Calculations in Relativistic Quantum Mechanics.- Dirac Equation for Bispinor Densities.- Unified Spin Gauge Theory Models.- U(2,2) Spin-Gauge Theory Simplification by Use of the Dirac Algebra.- Spin(8) Gauge Field Theory.- Clifford Algebras, Projective Representations and Classification of Fundamental Particles.- Fermionic Clifford Algebras and Supersymmetry.- On Geometry and Physics of Staggered Lattice Fermions.- A System of Vectors and Spinors in Complex Spacetime and Their Application to Elementary Particle Physics.- Spinors as Components of the Metrical Tensor in 8-dimensional Relativity.- Multivector Solution to Harmonic Systems.- The Importance of Meaningful Conservation Equations in Relativistic Quantum Mechanics for the Sources of Classical Fields.- Electromagnetism.- Electromagnetic Theory and Network Theory using Clifford Algebra.- Remarks on Clifford Algebra in Classical Electromagnetism.- Quaternionic Formulation of Classical Electromagnetic Fields and Theory of Functions of a Biquaternion Variable.- Comparison of Clifford and Grassmann Algebras in Applications to Electromagnetics.- Generalisations of Clifford Algebra.- Symplectic Clifford Algebras.- Walsh Functions, Clifford Algebras and Cayley-Dickson Process.- Z(N)-Spin Systems and Generalised Clifford Algebras.- Generalized Clifford Algebras and Spin Lattice Systems.- Clifford Algebra, its Generalisations and Physical Applications.- Application of Clifford Algebras to *-products.- On Regular Functions of a Power-associative Hypercomplex Variable.- On a Geometric Torogonal Quantization Scheme.

Customer Reviews

Most Helpful Customer Reviews

See All Customer Reviews