E-Verhandlungen 2001
Programm und Abstracts der Sitzung MP 8

Miscellaneous
Do 14:30-15:30	HS VIII

MP 8.1

Vortrag

Do 14:30

HS VIII

Discrimination of Gauge, Higgs and Vierbein Fields with the Polar Decomposition in Complex Systems

•Mathias de Riese
II. Institut für Theoretische Physik, Universität Hamburg

Models of the physical world can be formulated in the theory of complex systems as networks of binary relations (links) between objects or agents. I introduce the notion of a polar decomposition of links in such a system and use it to classify systems and their parts. This elucidates the question in what way complex systems are generalizations of gauge theories. It is possible to discriminate between links which are generalizations of gauge fields, of vierbein fields, and of Higgs fields.

MP 8.2

Vortrag

Do 15:00

HS VIII

Relativistic Schrödinger Theory for 1- and 2-particle systems

•Stefan Rupp und Manfred Sorg
II. Institut für theoretische Physik, Pfaffenwaldring 57, D-70550 Stuttgart

Relativistic Schrödinger Theory (RST) is presented as an alternative to the framework of conventional relativistic quantum mechanics. Within the framework of RST, the relativistic 1-particle wave equations for spin 1/2 and scalar particles (Relativistic Schrödinger Equations) are shown to be equivalent to the relativistic wave equations of the conventional theory (namely the well-known Dirac and Klein-Gordon equations).
For the case of two scalar particles, a set of relativistic 2-particle wave equations is derived from the general RST dynamics and its properties are described with respect to the phenomena of mixing and exchange degeneracy. It is shown that the standard dichotomy of symmetric and antisymmetric quantum states finds its RST analog in the form of the positive and negative mixtures.
As an illustrative example, the general 2-particle equations are specialized to SO(3)-symmetry, thus enabling the treatment of the relativistic 2-particle Coulomb force problem (scalar Helium atom).
Lit.: Mixing group for relativistic 2-particle quantum states, appearing in Phys. Rev. A 63

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