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Ground States for a Semi-relativistic Polaron Model

Martin Könenberg
(FernUniversität Hagen)
Torsdag, 14 april, 2011, at 16:15-17:15, in Aud. D3 (1531-215)
In a joint work with O. Matte, we consider a particle with spin $1/2$ and relativistic kinetic energy. In this model the quantized radiation field is minimally coupled to the particle momentum with a small coupling constant $\alpha$. Since the total momentum is a conserved quantity, the Hamiltonian has a fiber decomposition $\int^\oplus H(P) d^3 P$. We prove that for small $\alpha$ the operator $H(P=0)$ has an at least two-fold degenerate ground state. The proof is based on the iterative perturbation theory, which was originally developed by A. Pizzo.
Kontaktperson: Jacob Schach Møller