This book establishes the foundations of non-equilibrium quantum
statistical mechanics in order to support students and academics in
developing and building their understanding. The formal theory is
derived from first principles by mathematical analysis, with
concrete physical interpretations and worked examples throughout.
It explains the central role of entropy; its relation to the
probability operator and the generalisation to transitions, as well
as providing first principles derivation of the von Neumann trace
form, the Maxwell-Boltzmann form and the Schroedinger equation.
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