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Many-body Boson Systems: Half a Century Later offers a modern way of dealing with the problems of equilibrium states of Bose systems. Starting with the variation principle of statistical mechanics and the energy-entropy balance principle as equilibrium criteria, results for general boson systems and models are explicitly derived using simple functional analytic calculus. Bridging the gap between idea’s of general theoretical physics and the phenomenological research in the field of Bose systems, this book provides an insight into the fascinating quantum world of bosons. Key topics include the occurrence of BEC and its intimate structural relation with the phenomena of spontaneous symmetry breaking and off-diagonal long range order; the condensate equation; the issue concerning the choice of boundary conditions; solvable versus non-solvable boson models; the set of quasi-free boson states; the role of dissipative perturbations; and the surprising but general relation between general quantum fluctuations and boson systems. Only some knowledge of quantum mechanics and undergraduate algebra and analysis is assumed. This textbook brings students and researchers smoothly from general concepts to vivid applications.

Bosons -- Mathematical models. --- Bosons. --- Science. --- Bosons --- Many-body problem --- Bose-Einstein condensation --- Mathematical physics --- Physics --- Mathematics --- Physical Sciences & Mathematics --- Nuclear Physics --- Calculus --- Mathematical models --- Many-body problem. --- Mathematical physics. --- Physical mathematics --- n-body problem --- Problem of many bodies --- Problem of n-bodies --- Bose-Einstein particles --- Mathematics. --- Functional analysis. --- Operator theory. --- Physics. --- Quantum physics. --- Phase transformations (Statistical physics). --- Condensed materials. --- Condensed matter. --- Functional Analysis. --- Operator Theory. --- Theoretical, Mathematical and Computational Physics. --- Mathematical Methods in Physics. --- Quantum Physics. --- Quantum Gases and Condensates. --- Mechanics, Analytic --- Particles (Nuclear physics) --- Interacting boson-fermion models --- Interacting boson models --- Quantum theory. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Functional analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Phase changes (Statistical physics) --- Phase transitions (Statistical physics) --- Phase rule and equilibrium --- Statistical physics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics