6533b853fe1ef96bd12ad34a

RESEARCH PRODUCT

Feynman-diagramme als vektorsysteme invariantentheoretisch behandelt (compton-streuung, elektron-positron-vernichtung

P. WernerP. M. DiracErnst Hölder

subject

Physicssymbols.namesakePhotonGeneral MathematicsQuantum mechanicsGeneral EngineeringsymbolsCompton scatteringFeynman diagramSPHERESElectron scatteringContact transformationInvariant theory

description

Employing a special contact transformation devised by S. Lie, which takes spheres into lines, we interpret the Feynman diagrams of photon electron scattering in terms of vector systems. This gives a nice kinematic model of Compton scattering. We further compute in detail the transition probabilities of the Compton scattering process by making use of the calculus of chains of complexes from classical invariant theory rather than applying the usual Dirac-matrix technique. In the final paragraph of this paper an application of our calculations to the treatment of myon decay is indicated.

yearjournalcountryeditionlanguage
1985-01-01Mathematical Methods in the Applied Sciences
https://doi.org/10.1002/mma.1670070120