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MP: Theoretische und Mathematische Grundlagen der Physik

MP 4: Poster 1

MP 4.2: Poster

Wednesday, March 29, 2006, 15:30–16:00, Foyer

Three Fermions of Different Charge in the Whitney Sum Formalism for Quantum Many Particle Systems — •Ruth Gräbeldinger, Thorsten Beck, and Peter Schust — II. Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57/III, 70550 Stuttgart

The content of this poster is related to the poster contribution “Three Equally Charged Fermions in the Whitney Sum Formalism for Quantum Many Particle Systems” in the respect that it is also about three fermions with electromagnetic gauge interactions. But unlike its sibling contribution it emphasises on two fermions of equal and one of opposite charge. Thereby, we point out the importance of the theory’s metric in the spinor fibre, the object in which the charge change finds its place mathematically. The effects of the change in the spinor fibre metric that are necessary to change the sign of one charge on the rest of the formalism are shown, especially, those on gauge and exchange potentials of the theory. Next to being the basis for a first model for two electron atoms with charge nuclear number Z, it gives hints on how and where particle creation and annihilation can take place in the Whitney sum formalism for quantum many particle systems.

[1] P. Schust, Die Relativistische Schrödingertheorie als erweiterte Yang-Mills Theorie, Dissertation, Universität Stuttgart, in preparation

[2] R. Gräbeldinger, Die Selbstenergie des Dirac-Elektrons in der RST, Diplomarbeit, Universität Stuttgart, i.p. (Januar 2006)

[3] R. Gräbeldinger, P. Schust, M. Mattes and M. Sorg, Relativistic Energy Levels of Para-Helium, i.p.