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arxiv: math-ph/0112010 · v2 · submitted 2001-12-06 · 🧮 math-ph · math.MP

Enhanced Binding in non-relativistic QED

classification 🧮 math-ph math.MP
keywords couplingalphabindingcaseconsiderconstantcoupleddescribe
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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.

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