01-39 Fumio Hiroshima, Herbert Spohn

Enhanced binding through coupling to a quantum field (134K, .dvi) Jan 29, 01

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Abstract. We consider an electron coupled to the quantized radiation field in the dipole approximation. Even if the Hamiltonian has no ground state at zero coupling, $\alpha=0$, the interaction with the quantized radiation field may induce binding. Under suitable assumptions on the external potential, we prove that there exists a critical constant $\alpha_c\geq0$ such that the Hamiltonian has a unique ground state for {\it arbitrary} $|\alpha|>\alpha_c$.

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