Quantum Mechanics, The Stability of Matter and Quantum Electrodynamics

Physics – Mathematical Physics

Scientific paper

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This is an extended version of math-ph/0209034 and will appear in the Jahresbericht of the German Mathematical Society. 24 pag

Scientific paper

Much progress has been made in the last few decades in developing the necessary mathematics for understanding 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 is given.

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