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This volume is based on lectures given during the program Complex Quantum Systems held at the National University of Singapore's Institute for Mathematical Sciences from 17 February to 27 March 2010. It guides the reader through two introductory expositions on large Coulomb systems to five of the most important developments in the field: derivation of mean field equations, derivation of effective Hamiltonians, alternative high precision methods in quantum chemistry, modern many body methods originating from quantum information, and - the most complex - semirelativistic quantum electrodynamics.
Quantum statistics. --- Quantum electrodynamics --- Electrodynamics, Quantum --- QED (Physics) --- Quantum field theory --- Schwinger action principle --- Quantum statistical mechanics --- Matrix mechanics --- Statistical mechanics --- Wave mechanics --- Mathematics. --- Quantum theory
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The study of quantum fluids, stimulated by the discovery of superfluidity in liquid helium, has experienced renewed interest after the observation of Bose-Einstein condensation (BEC) in ultra-cold atomic gases and the observation a new type of quantum fluid with specific characteristics derived from its intrinsic out-of-equilibrium nature. The main objective of this book is to take a snapshot of the state-of-the-art of this fast moving field with a special emphasis on the hot topics and new trends. Bringing together the most active specialists of the two areas (atomic and polaritonic quantum fluids), we expect that this book will facilitate the exchange and the collaboration between these two communities working on subjects with very strong analogies.
Quantum liquids. --- Quantum statistics. --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Liquids, Quantum --- Quantum statistical mechanics --- Physics. --- Quantum physics. --- Phase transformations (Statistical physics). --- Condensed materials. --- Condensed matter. --- Solid state physics. --- Phase transitions (Statistical physics). --- Low temperature physics. --- Low temperatures. --- Materials science. --- Solid State Physics. --- Quantum Gases and Condensates. --- Quantum Physics. --- Phase Transitions and Multiphase Systems. --- Low Temperature Physics. --- Materials Science, general. --- Low temperatures --- Quantum statistics --- Matrix mechanics --- Statistical mechanics --- Wave mechanics --- Quantum theory. --- Materials. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Materials --- Phase changes (Statistical physics) --- Phase transitions (Statistical physics) --- Phase rule and equilibrium --- Statistical physics --- Solids --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Material science --- Physical sciences --- Cryogenics --- Low temperature physics --- Temperatures, Low --- Temperature --- Cold
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