A Statistical Derivation of Non-Relativistic Quantum Theory

U. Klein
Universitity of Linz
Institute for Theoretical Physics
A-4040 Linz, Austria

book chapter in ”Measurements in Quantum mechanics ”, ISBN 979-953-307-752-8


1 Introduction
2 Basic equations for a class of statistical theories
3 Gauge coupling as a consequence of a multi-valued phase
4 A constraint for forces in statistical theories
5 Fisher information as the hallmark of quantum theory
6 Spin as a statistical degree of freedom
7 ’Missing’ quantum spin terms from Fisher information
8 Spin as a consequence of a multi-valued phase
9 Transition to N particles as final step to non-relativistic quantum theory
10 The classical limit of quantum theory is a statistical theory
11 Extended discussion
12 Summary