Bücher von Arnold Neumaier

Presenting classical mechanics, quantum mechanics, and statistical mechanics in an almost completely algebraic setting, this monograph introduces mathematicians, physicists, and engineers to the ideas relating classical and quantum mechanics with Lie algebras and Lie groups. The focus lies on discussing structural properties of mechanics rather than computational techniques.

This book shows how quantum physics can be understood by taking as objective properties the q-expectations of products of quantum fields and what is computable from these. Probability and measurement are eliminated from the foundations and reappear as simplified coarse-grained descriptions of what exists. The resulting dissipation and nonlinearity may lead to bistability and explains the binary nature of paradigmatic quantum measurements.