This book continues the fundamental work of Arnold Sommerfeld and David Hestenes formulating theoretical physics in terms of Minkowski space-time geometry. We see how the standard matrix version of the Dirac equation can be reformulated in terms of a real space-time algebra, thus revealing a geometric meaning for the "number i" in quantum mechanics. Next, it is examined in some detail how electroweak theory can be integrated into the Dirac theory and this way interpreted in terms of space-time geometry. Finally, some implications for quantum electrodynamics are considered. The presentation of real quantum electromagnetism is expressed in an addendum. The book covers both the use of the complex and the real languages and allows the reader acquainted with the first language to make a step by step translation to the second one.
Reviews

From the reviews:

"This textbook addresses graduate students and researchers interested in quantum mechanics. ... The author creates a very readable and well-accessible account of this new approach to quantum mechanics. ... The basic endeavor of the book is a full translation of quantum mechanics into the real and invariant language of the Clifford algebra of space-time." (Eckhard M. S. Hitzer, Mathematical Reviews, Issue 2012 m)

Book Information
ISBN 9783642191985
Author Roger Boudet
Format Paperback
Page Count 119
Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG