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Quantum statistics is a category for books that explain how quantum mechanics and statistical mechanics together describe the collective behavior of many-particle quantum systems. Titles in this area cover the replacement of classical Maxwell–Boltzmann ideas by Bose–Einstein and Fermi–Dirac statistics for indistinguishable particles, introduce tools such as density matrices, ensembles and partition functions, second quantization, and path integrals, and apply them to quantum gases, solids, and radiation. They discuss hallmark phenomena like Bose–Einstein condensation, degenerate Fermi gases, blackbody radiation, superfluidity and superconductivity, and quantum phase transitions, along with contemporary topics including ultracold atoms, quantum thermodynamics, open and nonequilibrium quantum systems, and aspects of quantum information. The category ranges from pedagogical texts and problem books to advanced research monographs, with applications across condensed matter, quantum optics, materials science, and astrophysics, aimed at advanced undergraduate, graduate, and professional audiences.

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