The Many Faces of Maxwell, Dirac and Einstein Equations: A Clifford Bundle Approach

The Many Faces of Maxwell, Dirac and Einstein Equations: A Clifford Bundle Approach

Paperback(2nd ed. 2016)

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Product Details

ISBN-13: 9783319276366
Publisher: Springer International Publishing
Publication date: 05/28/2016
Series: Lecture Notes in Physics , #922
Edition description: 2nd ed. 2016
Pages: 587
Product dimensions: 6.10(w) x 9.25(h) x (d)

About the Author

Waldyr Alves Rodrigues Jr, full professor of Mathematical Physics, at the State University of Campinas, São Paulo,
Brazil, received his BSc from the University of São Paulo, and his PhD from the University of Torino, Italy. He has held various positions at Brazilian and European universities, one of them being director of the Institute of Mathematics, Statistics and Scientific Computation, State
University of Campinas (IMECC-UNICAMP) from 1994 to1998. He has more than 40
years of teaching experience in more than 70 courses at graduate and post-graduate levels. As a researcher he received many grants, and various prizes - especially in 2012 he won the Paul Sabatier honor medal in 2012 for his contributions to applications of Clifford algebras to mathematical physics.
He is the editor-in-chief of the journal “Advances in Applied Clifford Algebras”.

Edmundo Capelas de
Oliveira is a member of the
Mathematical Physics Group at the State
University of Campinas, Sao Paulo, Brazil. He received his
PhD in Physics in 1982, and became a full professor in Applied Mathematics in 2015.
His research topics involve projective relativity, differential equations, complex analysis and fractional calculus. He is author of several successful textbooks (in Portuguese), teaches undergraduate as well as graduate courses, and held positions as Library
Coordinator, Graduate Studies Coordinator of the Department and Associate
Director of the Institute.

Table of Contents

Preface.- Introduction.- Multivector and Extensor Calculus.- The Hidden Geometrical Nature of Spinors.- Some Differential Geometry.- Clifford Bundle Approach to the Differential Geometry of Branes.- Some Issues in Relativistic Spacetime Theories.- Clifford and Dirac-Hestenes Spinor Fields.- A Clifford Algebra Lagrangian Formalism in Minkowski Spacetime.- Conservation Laws on Riemann-Cartan and Lorentzian Spacetimes.- The DHE on a RCST and the Meaning of Active Local Lorentz Invariance.- On the Nature of the Gravitational Field.- On the Many Faces of Einstein Equations.- Maxwell, Dirac and Seiberg-Witten Equations.- Superparticles and Superfields.- Maxwell, Einstein, Dirac and Navier-Stokes Equations.- Magnetic Like Particles and Elko Spinor Fields.-Appendices A1-5.- Acronyms and Abbreviations.- List of Symbols.- Index.

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