In this book the concept of indistinguishability is defined for
identical particles by the symmetry of the state. It applies,
therefore, to both the classical and the quantum framework. The
author describes symmetric statistical operators and classifies
these by means of extreme points. For the description of infinitely
extendible interchangeable random variables de Finetti's theorem is
derived and generalizations covering the Poisson limit and the
central limit are presented. A characterization and interpretation
of the integral representations of classical photon states in
quantum optics are derived in abelian subalgebras. Unextendible
indistinguishable particles are analyzed in the context of
nonclassical photon states. The book addresses mathematical
physicists and philosophers of science.
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