Current Developments in Mathematics

The stability of matter and quantum electrodynamics

Elliott H Lieb

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Abstract

Much progress has been made in the last few decades in developing the necessary mathematics for understing the full implications of the quantum-mechanical many-body problem and why the material world appears to be as stable as it is despite the serious −1/|x| singularity of the Coulomb potential that attracts negative electrons to positive atomic nuclei. Many problems remain, however, especially the understanding of the interaction of matter and the quantized radiation field discovered by Planck in 1900. A short review of some of the main topics, recent progress, and open problems will be given.

Article information

Source
Current Developments in Mathematics, Volume 2005 (2007), 89-109.

Dates
First available in Project Euclid: 10 October 2008

Permanent link to this document
https://projecteuclid.org/euclid.cdm/1223654525

Mathematical Reviews number (MathSciNet)
MR2091506

Zentralblatt MATH identifier
1159.81004

Citation

Lieb, Elliott H. The stability of matter and quantum electrodynamics. Current Developments in Mathematics 2005 (2007), 89--109. https://projecteuclid.org/euclid.cdm/1223654525


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