NDLI: Peirce, Clifford, and Dirac

Content Provider	Springer Nature Link
Author	Beil, R. G. Beil, R. G.
Copyright Year	2004
Abstract	There is a clear line of progression from the “logic of relations” of Charles Sanders Peirce through the algebras of William Kingdon Clifford. Further, it has been shown how one can obtain the nonrelativistic quantum theory of spin one-half particles from Peirce logic. Continuing the hypothetical history, it is demonstrated here that the relativistic Dirac theory can also be related to Peirce logic. The most natural way to accomplish this is to represent the Dirac wave functions themselves as Clifford numbers rather than as spinors. The wave functions can thus appear as 4× 4 matrices. All quantities in this quantum theory can actually be expressed in terms of the Clifford basis, independent of a specific matrix representation.
Starting Page	1301
Ending Page	1315
Page Count	15
File Format	PDF
ISSN	00207748
Journal	International Journal of Theoretical Physics
Volume Number	43
Issue Number	5
e-ISSN	15729575
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2004-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Physics Quantum Physics Mathematical and Computational Physics Elementary Particles, Quantum Field Theory
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mathematics

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Peirce, Clifford, and Dirac