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On the Dirac Equation in 3 + 1 Dimensions

✍ Scribed by G.N. Ord; D.G.C. Mckeon

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
332 KB
Volume
222
Category
Article
ISSN
0003-4916

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✦ Synopsis

The derivation of the kernel for the Feynman chessboard model in (1+1) dimensions is sketched in such a way that a formal extension to (3+1) dimensions is readily obtained. This extension is then examined so as to clarify the nature of the paths in three-dimensional space. We also consider how stochastic processes in (3+1) dimensions lead essentially to a "diagonalized" version of the ((3+1)) dimensional Dirac equation. This confirms the "transfer matrix" view that the Feynman paths are essentially one-dimensional. 1993 Academic Press, Inc.

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