Current Developments in Mathematics

The stability of matter and quantum electrodynamics

Elliott H Lieb

Full-text: Open access


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

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

First available in Project Euclid: 10 October 2008

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier


Lieb, Elliott H. The stability of matter and quantum electrodynamics. Current Developments in Mathematics 2005 (2007), 89--109.

Export citation