Spectral Analysis of an Effective Hamiltonian in Nonrelativistic Quantum Electrodynamics

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 l...

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Bibliographic Details
Published in:Annales Henri Poincaré 2011-02, Vol.12 (1), p.119-152
Main Author: Arai, Asao
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Combinatorics. Ordered structures
Dynamical Systems and Ergodic Theory
Elementary Particles
Exact sciences and technology
Inference from stochastic processes
time series analysis
Mathematical analysis
Mathematical and Computational Physics
Mathematical Methods in Physics
Mathematics
Operator theory
Order, lattices, ordered algebraic structures
Other topics in mathematical methods in physics
Physics
Physics and Astronomy
Probability and statistics
Quantum Field Theory
Quantum Physics
Relativity Theory
Sciences and techniques of general use
Statistics
Theoretical
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Description
Summary: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.
ISSN:1424-0637
1424-0661
DOI:10.1007/s00023-010-0071-2