Radiation and Scattering in Non-relativistic Quantum Electrodynamics

Israel Michael Sigal ()
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Israel Michael Sigal: University of Toronto, Department of Mathematics

A chapter in Quantum Mathematical Physics, 2016, pp 257-291 from Springer

Abstract: Abstract The standard model of non-relativistic quantum electrodynamics describes non-relativistic quantum matter, such as atoms and molecules, (minimally) coupled to the quantized electromagnetic field. This model provides mathematically solid and physically reasonable foundations for a description of all physical processes arising from the interaction of matter and radiation. We review basic notions, results and techniques in the theory of radiation and scattering, specifically, Rayleigh scattering, within this model. We also describe some ideas entering the proofs. This review is an extended version of the talk given at the Conference “Quantum Mathematical Physics”, Regensburg, September/October, 2014.

Keywords: Quantum electrodynamics; Photons and electrons; Renormalization group; Quantum resonances; Spectral theory; Schrödinger operators; Ground state; Quantum dynamics; Non-relativistic theory (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-26902-3_13

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DOI: 10.1007/978-3-319-26902-3_13

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