Bonn 2001 – scientific programme

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MP: Theoretische und Mathematische Grundlagen der Physik

MP 8: Miscellaneous

MP 8.2: Talk

Thursday, March 29, 2001, 15:00–15:30, HS VIII

Relativistic Schrödinger Theory for 1- and 2-particle systems — •Stefan Rupp and 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.: No-dqMixing group for relativistic 2-particle quantum statesNo-dq, appearing in Phys. Rev. A 63