Indistinguishable Classical Particles

Focusing on the concept of indistinguishability for identical particles, the book explores both classical and quantum frameworks through symmetry of states. It introduces symmetric statistical operators, categorizing them via extreme points, and derives de Finetti's theorem for infinitely extendible random variables. The text also presents generalizations related to the Poisson and central limits, and interprets integral representations of classical photon states in quantum optics. Additionally, it examines unextendible indistinguishable particles in the realm of nonclassical photon states, targeting mathematical physicists and philosophers of science.