## Current Developments in Mathematics

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

### The stability of matter and quantum electrodynamics

#### 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