 06136 M. Loss, T. Miyao and H. Spohn
 Lowest energy states in nonrelativistic QED: atoms and ions in motion
(112K, latex 2e)
Apr 28, 06

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Abstract. Within the framework of nonrelativisitic quantum electrodynamics we consider a single
nucleus and $N$ electrons coupled to the radiation field. Since the total
momentum $P$ is conserved, the Hamiltonian $H$ admits a fiber
decomposition with respect to $P$ with fiber Hamiltonian $H(P)$. A stable atom,
resp. ion, means that the fiber Hamiltonian $H(P)$ has an
eigenvalue at the bottom of its spectrum. We establish the existence of
a ground state for $H(P)$ under (i) an explicit bound on $P$,
(ii) a binding condition, and (iii) an energy inequality. The
binding condition is proven to hold for a heavy nucleus and the
energy inequality for spinless electrons.
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