03-65 Fumio Hiroshima

Nonrelativistic QED at large momentum of photons (59K, latex) Feb 19, 03

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Abstract. An interaction system of one spinless electron minimally coupled to a quantized radiation field is considered. On the Hamiltonian, $\hl$, of this system, an ultraviolet cutoff $\Lambda>0$ and an infrared cutoff $\lambda>0$ are imposed. We do {\it not} assume the existence of a ground state of the decoupled Hamiltonian. It is proven, however, that there exists $\Lambda_\ast$ such that for all $\Lambda>\Lambda_\ast$, $\hl$ has a unique ground state. Furthermore we investigate the asymptotic behavior of $g(\Lambda)=\is (\hl)$ without external potentials as $\Lambda\rightarrow \infty$.

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