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Spectral Analysis of an Effective Hamiltonian in Nonrelativistic Quantum Electrodynamics
Title: | Spectral Analysis of an Effective Hamiltonian in Nonrelativistic Quantum Electrodynamics |
Authors: | Arai, Asao Browse this author |
Keywords: | effective Hamiltonian | Lamb shift | nonrelativistic quantum electrodynamics | spectrum |
Issue Date: | 20-Aug-2010 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 966 |
Start Page: | 1 |
End Page: | 33 |
Abstract: | We investigate spectral properties of an effective Hamiltonian which is obtained as a scaling limit of the Pauli-Fierz model in nonrelativistic quantum electrodynamics. 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. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69773 |
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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