Enhanced Binding in non-relativistic QED

Christian Hainzl, Vitali Vougalter, Semjon A. Vugalter

Published 2001-12-06, updated 2003-02-25Version 2

We consider a spinless particle coupled to a photon field and prove that even if the Schr\"odinger operator $p^2 + V$ does not have eigenvalues the system can have a ground state. We describe the coupling by means of the Pauli-Fierz Hamiltonian and our result holds in the case where the coupling constant $\alpha$ is small.