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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
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

Oliveira, Edmundo C.
Rodrigues, Waldyr A.

Paperback

Series: Lecture Notes in Physics, Book 722

GeometryPhysics

ISBN10: 3642090389
ISBN13: 9783642090387
Publisher: Springer
Published: Nov 25 2010
Pages: 445
Weight: 1.41
Height: 0.93 Width: 6.14 Depth: 9.21
Language: English
Maxwell, Dirac and Einstein's equations are certainly among the most imp- tant equations of XXth century Physics and it is our intention in this book to 1 investigate some of the many faces of these equations and their relationship and to discuss some foundational issues involving some of the theories where they appear. To do that, let us brie?y recall some facts. Maxwell equations which date back to the XIXth century encodes all cl- sical electromagnetism, i. e. they describe the electromagnetic ?elds generated by charge distributions in arbitrary motion. Of course, when Maxwell f- mulated his theory the arena where physical phenomena were supposed to occur was a Newtonian spacetime, a structure containing a manifold which is 3 di?eomorphic to R×R, the ?rst factor describing Newtonian absolute time 2 [25] and the second factor the Euclidean space of our immediate perception . In his original approach Maxwell presented his equations as a system of eight linear ?rstorderpartialdi?erentialequations involvingthe components of the electricandmagnetic?elds[17]generatedbychargeandcurrentsdistributions 3 with prescribed motions in vacuum . It was only after Heaviside [12], Hertz and Gibbs that those equations were presented using vector calculus, which by the way, is the form they appear until today in elementary textbooks on Electrodynamics and Engineering Sciences. In the vector calculus formalism Maxwell equations are encoded in four equations involving the well known divergentandrotationaloperators.

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