A direct derivation of an effective Hamiltonian in non-relativistic quantum electrodynamics

Abstract

We present a direct derivation of Arai's effective Hamiltonian in non-relativistic quantum electrodynamics without relying on the scaling limit. Our result applies to a broader class of potentials, including the Rollnik class and confining potentials such as the harmonic potential.

arXiv comment11 pages. Comments are welcome