Many-body theory stands at the foundation of modern quantum
statistical mechanics. It is introduced here to graduate students
in physics, chemistry, engineering and biology. The book provides a
contemporary understanding of irreversibility, particularly in
quantum systems. It explains entropy production in quantum kinetic
theory and in the master equation formulation of non-equilibrium
statistical mechanics. The first half of the book focuses on the
foundations of non-equilibrium statistical mechanics with emphasis
on quantum mechanics. The second half of the book contains
alternative views of quantum statistical mechanics, and topics of
current interest for advanced graduate level study and research.
Unique to textbooks on this subject, this book contains a
discussion of the fundamental Gleason theorem. Quantum
entanglements are treated in application to quantum computation and
the difficulties arising from decoherence. The relativistic
generalization of the Boltzmann equation is derived, and modern
transport applications to reservoir ballistic transport are
developed.
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