## Abstract In this paper we study an analogue of the Cauchyβtype integral for the theory of timeβharmonic solutions of the relativistic Dirac equation in case of a pieceβwise Liapunov surface of integration and we prove the SokhotskiβPlemelj theorem for it as well as the necessary and sufficient c
A Projector Path Integral for the Dirac Equation and the Spin Derivation of Space
β Scribed by B. Gaveau; L.S. Schulman
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 101 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0003-4916
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β¦ Synopsis
We construct a new kind of path integral for the Dirac equation propagator, intended as an extension to 3 space dimensions of the Feynman checkerboard'' propagator. One form of this path integral is a projector path'' summation, out of which one can reconstruct standard 3D space and chirality. Other forms allow the particle velocity along the path to be adjusted.
π SIMILAR VOLUMES
We consider the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having a mixed open crack (or arc) in R 2 as the cross section. The crack is made up of two parts, and one of the two parts is (possibly) coated by a material with surface impedance . We transform the s