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Derivation of the Lamb Shift from an Effective Hamiltonian in Non-relativistic Quantum Electrodynamics

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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84149

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

Submitter: 数学紀要登録作業用

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