12-59 Asao Arai

Derivation of the Lamb Shift from an Effective Hamiltonian in Non-relativistic Quantum Electrodynamics (226K, Latex 2e) May 16, 12

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Abstract. Some aspects of spectral analysis of an effective Hamiltonian in non-relativistic quantum electrodynamics are reviewed. The Lamb shift of a hydrogen-like atom is derived as the lowest order approximation (in the fine structure constant) of an energy level shift of the effective Hamiltonian. Moreover, a general class of effective operators is presented, which comes from models of an abstract quantum system interacting with a Bose field.

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