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Derivation of the Lamb Shift from an Effective Hamiltonian in Non-relativistic Quantum Electrodynamics
Title: | Derivation of the Lamb Shift from an Effective Hamiltonian in Non-relativistic Quantum Electrodynamics |
Authors: | Arai, Asao Browse this author |
Keywords: | Non-relativistic quantum electrodynamics | effective Hamiltonian | spectrum | Lamb shift | effective operator |
Issue Date: | 11-Apr-2012 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 1003 |
Start Page: | 1 |
End Page: | 21 |
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. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69808 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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