Particle Interferometry from 40 MeV to 40 TeV

Recent developments are summarized in the theory of Bose-Einstein and Fermi-Dirac correlations, with emphasis on the necessity of a simultaneous analysis of particle spectra and quantum statistical correlations for a detailed reconstruction of the space-time picture of particle emission. This review is limited to the following topics: basics and formalism of quantum-statistical correlations; the core/halo picture for n-particle Bose-Einstein correlations; particle interferometry in e+e- collisions including the Andersson-Hofmann model; the invariant Buda-Lund particle interferometry; the Buda-Lund, the Bertsch-Pratt and Yano-Koonin-Podgoretskii parameterizations, the Buda-Lund hydro model and its applications to (π/K)+p and Pb+Pb collisions at CERN SPS, and to low-energy heavy-ion collisions; the binary-source formalism and the related oscillations in the two-particle Bose-Einstein and Fermi-Dirac correlation functions; the experimental signals of expanding rings of fire and shells of fire in particle and heavy-ion physics and their similarity to planetary nebulae in stellar astronomy.