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Spectral Analysis of an Effective Hamiltonian in Nonrelativistic Quantum Electrodynamics

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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84113

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

Submitter: 数学紀要登録作業用

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