A direct derivation of Arai's effective Hamiltonian in non-relativistic QED is given for Rollnik-class and confining potentials without using the scaling limit.
Schm¨ udgen.Unbounded self-adjoint operators on Hilbert space, volume 265 of Graduate Texts in Mathematics
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A direct derivation of an effective Hamiltonian in non-relativistic quantum electrodynamics
A direct derivation of Arai's effective Hamiltonian in non-relativistic QED is given for Rollnik-class and confining potentials without using the scaling limit.