## Equivalent Waveguide Representation for Dirac Plane Waves

**Authors:** Giuliano Bettini, Alberto Bicci

Ideas about the electron as a sort of a bound electromagnetic wave and/or the electron
as electromagnetic field trapped in (equivalent) waveguide can be found more or less
explicitly in many papers, for example by Zhi-Yong Wang, Roald Ekholdt, David
Hestenes, V.A.Induchoodan Menon, J. G. Williamson, M. B. van der Mark.
What we want to show here is that the Dirac equation for electron and positron plane
waves admits an equivalent electrical circuit, consisting of an equivalent transmission
line.
The same transmission line is representative of a mode in waveguide, so you can also
say that the Dirac equation for plane waves includes an implicit representation in
terms of an equivalent waveguide.
All the calculation will be done in elementary form, with the usual notations of circuit
theory and electromagnetism, without the need to resort to Clifford algebra as in
previous papers.

**Comments:** 18 pages, slightly amended.

**Download:** **PDF**

### Submission history

[v1] 19 Jan 2010

[v2] 23 Feb 2010

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