Path Integral for Relativistic Equations of Motion
β Scribed by Pierre Gosselin; Janos Polonyi
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 279 KB
- Volume
- 268
- Category
- Article
- ISSN
- 0003-4916
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β¦ Synopsis
A non-Grassmanian path integral representation is given for the solution of the Klein Gordon and the Dirac equations. The trajectories of the path integral are rendered differentiable by the relativistic corrections. The nonrelativistic limit is briefly discussed from the point of view of the renormalization group.
π SIMILAR VOLUMES
The equations of motion for the relativistic particle in an external electromagnetic field are reformulated within the framework of the Nambu three-order phase space formalism. This formulation implies the mass of a relativistic particle as an integral of motion. The Lorentzcovariant four-vector of
## 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