 0365 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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