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Memory Functions, Projection Operators, and the Defect Technique - Some Tools of the Trade for the Condensed Matter Physicist (Paperback, 1st ed. 2021)
Loot Price: R2,338
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Memory Functions, Projection Operators, and the Defect Technique - Some Tools of the Trade for the Condensed Matter Physicist (Paperback, 1st ed. 2021)
Series: Lecture Notes in Physics, 982
Expected to ship within 10 - 15 working days
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This book provides a graduate-level introduction to three powerful
and closely related techniques in condensed matter physics: memory
functions, projection operators, and the defect technique. Memory
functions appear in the formalism of the generalized master
equations that express the time evolution of probabilities via
equations non-local in time, projection operators allow the
extraction of parts of quantities, such as the diagonal parts of
density matrices in statistical mechanics, and the defect technique
allows solution of transport equations in which the translational
invariance is broken in small regions, such as when crystals are
doped with impurities. These three methods combined form an
immensely useful toolkit for investigations in such disparate areas
of physics as excitation in molecular crystals, sensitized
luminescence, charge transport, non-equilibrium statistical
physics, vibrational relaxation, granular materials, NMR, and even
theoretical ecology. This book explains the three techniques and
their interrelated nature, along with plenty of illustrative
examples. Graduate students beginning to embark on a research
project in condensed matter physics will find this book to be a
most fruitful source of theoretical training.
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